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Proof of the Riemann Hypothesis

af Marcello Colozzo ...

We prove the Riemann Hypothesis by studying the behavior of a holomorphic function which has the same non-trivial zeros as the Riemann zeta function.Marcello Colozzo, a graduate in Physics, has been involved in online teaching of Mathematics and Physics since 2008 through the Extra Byte website where "simulations" are performed in the Mathematica computing environment. In recent years he has ... Læs mere

12,76 kr. eller Gratis med Kobo Plus

We prove the Riemann Hypothesis by studying the behavior of a holomorphic function which has the same non-trivial zeros as the Riemann zeta function.Marcello Colozzo, a graduate in Physics, has been involved in online teaching of Mathematics and Physics since 2008 through the Extra Byte website where "simulations" are performed in the Mathematica computing environment. In recent years he has
... Læs mere
Relative Rearrangement

af Jean Michel Rakotoson ...

Serier serie Mathematics and Statistics (R0)
This book develops the properties of monotone rearrangement and relative rearrangement (sometimes called pseudo-rearrangement). It introduces applications to variational problems involving monotone rearrangements, a priori estimates for partial differential equations, and stationary or evolution problems associated with variable exponents. The properties of Sobolev embeddings for non-standard ... Læs mere

793,91 kr.

This book develops the properties of monotone rearrangement and relative rearrangement (sometimes called pseudo-rearrangement). It introduces applications to variational problems involving monotone rearrangements, a priori estimates for partial differential equations, and stationary or evolution problems associated with variable exponents. The properties of Sobolev embeddings for non-standard
... Læs mere
Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps

A Functional Approach

af Viviane Baladi ...

Serier serie Mathematics and Statistics (R0)
The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamical determinants, poles of dynamical zeta functions, and the discrete spectra of the transfer ... Læs mere

1.120,85 kr.

The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamical determinants, poles of dynamical zeta functions, and the discrete spectra of the transfer
... Læs mere
Operator and Matrix Theory, Function Spaces, and Applications

International Workshop on Operator Theory and its Applications 2022, Kraków, Poland

Redigeret af Marek Ptak, Hugo J. Woerdeman, Michał Wojtylak ...

Serier serie Springer Nature Proceedings excluding Computer Science
This volume features presentations from the International Workshop on Operator Theory and its Applications that was held in Kraków, Poland, September 6-10, 2022. The volume reflects the wide interests of the participants and contains original research papers in the active areas of Operator Theory. These interests include weighted Hardy spaces, geometry of Banach spaces, dilations of the tetrablock ... Læs mere

1.952,31 kr.

This volume features presentations from the International Workshop on Operator Theory and its Applications that was held in Kraków, Poland, September 6-10, 2022. The volume reflects the wide interests of the participants and contains original research papers in the active areas of Operator Theory. These interests include weighted Hardy spaces, geometry of Banach spaces, dilations of the tetrablock
... Læs mere
An Operator Semigroup in Mathematical Genetics

af Adam Bobrowski, Marek Kimmel ...

Serier serie Mathematics and Statistics (R0)
This authored monograph presents a mathematical description of the time evolution of neutral genomic regions in terms of the differential Lyapunov equation. The qualitative behavior of its solutions, with respect to different mutation models and demographic patterns, can be characterized using operator semi group theory.Mutation and drift are two of the main genetic forces, which act on genes of ... Læs mere

466,97 kr.

This authored monograph presents a mathematical description of the time evolution of neutral genomic regions in terms of the differential Lyapunov equation. The qualitative behavior of its solutions, with respect to different mutation models and demographic patterns, can be characterized using operator semi group theory.Mutation and drift are two of the main genetic forces, which act on genes of
... Læs mere
Evolution PDEs with Nonstandard Growth Conditions

Existence, Uniqueness, Localization, Blow-up

af Stanislav Antontsev, Sergey Shmarev ...

Serier Bog 4 - Atlantis Studies in Differential Equations
This monograph offers the reader a treatment of the theory of evolution PDEs with nonstandard growth conditions. This class includes parabolic and hyperbolic equations with variable or anisotropic nonlinear structure. We develop methods for the study of such equations and present a detailed account of recent results. An overview of other approaches to the study of PDEs of this kind is provided. ... Læs mere

840,61 kr.

This monograph offers the reader a treatment of the theory of evolution PDEs with nonstandard growth conditions. This class includes parabolic and hyperbolic equations with variable or anisotropic nonlinear structure. We develop methods for the study of such equations and present a detailed account of recent results. An overview of other approaches to the study of PDEs of this kind is provided.
... Læs mere
Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory

A Volume in Honor of V.E. Katsnelson

Redigeret af Daniel Alpay, Bernd Fritzsche, Bernd Kirstein ...

Serier serie Mathematics and Statistics (R0)
This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovich’s mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. However, it also included a one-year guest professorship at Leipzig University in 1991, which led to him establishing ... Læs mere

1.401,08 kr.

This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovich’s mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. However, it also included a one-year guest professorship at Leipzig University in 1991, which led to him establishing
... Læs mere
Applied and Computational Matrix Analysis

MAT-TRIAD, Coimbra, Portugal, September 2015 Selected, Revised Contributions

Redigeret af Natália Bebiano ...

Serier serie Springer Nature Proceedings excluding Computer Science
This volume presents recent advances in the field of matrix analysis based on contributions at the MAT-TRIAD 2015 conference. Topics covered include interval linear algebra and computational complexity, Birkhoff polynomial basis, tensors, graphs, linear pencils, K-theory and statistic inference, showing the ubiquity of matrices in different mathematical areas.With a particular focus on matrix and ... Læs mere

1.307,67 kr.

This volume presents recent advances in the field of matrix analysis based on contributions at the MAT-TRIAD 2015 conference. Topics covered include interval linear algebra and computational complexity, Birkhoff polynomial basis, tensors, graphs, linear pencils, K-theory and statistic inference, showing the ubiquity of matrices in different mathematical areas.With a particular focus on matrix and
... Læs mere
Regularity Techniques for Elliptic PDEs and the Fractional Laplacian

af Pablo Raúl Stinga ...

Regularity Techniques for Elliptic PDEs and the Fractional Laplacian presents important analytic and geometric techniques to prove regularity estimates for solutions to second order elliptic equations, both in divergence and nondivergence form, and to nonlocal equations driven by the fractional Laplacian. The emphasis is placed on ideas and the development of intuition, while at the same time ... Læs mere

634,90 kr.

Regularity Techniques for Elliptic PDEs and the Fractional Laplacian presents important analytic and geometric techniques to prove regularity estimates for solutions to second order elliptic equations, both in divergence and nondivergence form, and to nonlocal equations driven by the fractional Laplacian. The emphasis is placed on ideas and the development of intuition, while at the same time
... Læs mere
Korteweg–de Vries Flows with General Initial Conditions

af Shinichi Kotani ...

Serier serie Mathematics and Statistics (R0)
Large numbers of studies of the KdV equation have appeared since the pioneering paper by Gardner, Greene, Kruskal, and Miura in 1967. Most of those works have employed the inverse spectral method for 1D Schrödinger operators or an advanced Fourier analysis. Although algebraic approaches have been discovered by Hirota–Sato and Marchenko independently, those have not been fully investigated and ... Læs mere

1.027,44 kr.

Large numbers of studies of the KdV equation have appeared since the pioneering paper by Gardner, Greene, Kruskal, and Miura in 1967. Most of those works have employed the inverse spectral method for 1D Schrödinger operators or an advanced Fourier analysis. Although algebraic approaches have been discovered by Hirota–Sato and Marchenko independently, those have not been fully investigated and
... Læs mere
Dilations, Completely Positive Maps and Geometry

af B.V. Rajarama Bhat, Tirthankar Bhattacharyya ...

Serier serie Mathematics and Statistics (R0)
This book introduces the dilation theory of operators on Hilbert spaces and its relationship to complex geometry. Classical as well as very modern topics are covered in the book. On the one hand, it introduces the reader to the characteristic function, a classical object used by Sz.-Nagy and Foias and still a topic of current research. On the other hand, it describes the dilation theory of the ... Læs mere

1.120,85 kr.

This book introduces the dilation theory of operators on Hilbert spaces and its relationship to complex geometry. Classical as well as very modern topics are covered in the book. On the one hand, it introduces the reader to the characteristic function, a classical object used by Sz.-Nagy and Foias and still a topic of current research. On the other hand, it describes the dilation theory of the
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Functional Analysis

Fundamentals and Applications

af Michel Willem ...

Serier serie Mathematics and Statistics (R0)
This textbook presents the principles of functional analysis in a clear and concise way. The first three chapters describe the general notions of distance, integral, and norm, as well as their relations. Fundamental examples are provided in the three chapters that follow: Lebesgue spaces, dual spaces, and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic ... Læs mere

560,38 kr.

This textbook presents the principles of functional analysis in a clear and concise way. The first three chapters describe the general notions of distance, integral, and norm, as well as their relations. Fundamental examples are provided in the three chapters that follow: Lebesgue spaces, dual spaces, and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic
... Læs mere
Modulation Spaces

With Applications to Pseudodifferential Operators and Nonlinear Schrödinger Equations

af Árpád Bényi, Kasso A. Okoudjou ...

Serier serie Mathematics and Statistics (R0)
This monograph serves as a much-needed, self-contained reference on the topic of modulation spaces. By gathering together state-of-the-art developments and previously unexplored applications, readers will be motivated to make effective use of this topic in future research. Because modulation spaces have historically only received a cursory treatment, this book will fill a gap in time-frequency ... Læs mere

840,61 kr.

This monograph serves as a much-needed, self-contained reference on the topic of modulation spaces. By gathering together state-of-the-art developments and previously unexplored applications, readers will be motivated to make effective use of this topic in future research. Because modulation spaces have historically only received a cursory treatment, this book will fill a gap in time-frequency
... Læs mere
Analysis And Mathematical Physics

af Shaun Bullett, Tom Fearn, Frank Smith ...

Serier Bog 6 - Ltcc Advanced Mathematics Series
This is a concise reference book on analysis and mathematical physics, leading readers from a foundation to advanced level understanding of the topic. This is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as distributions, Fourier transforms and microlocal analysis, C* Algebras, value distribution of meromorphic functions, noncommutative ... Læs mere

625,38 kr.

This is a concise reference book on analysis and mathematical physics, leading readers from a foundation to advanced level understanding of the topic. This is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as distributions, Fourier transforms and microlocal analysis, C* Algebras, value distribution of meromorphic functions, noncommutative
... Læs mere
Integral and Integrodifferential Equations

Redigeret af Ravi P. Agarwal, Donal O'Regan ...

Serier serie Mathematical Analysis and Applications
This collection of 24 papers, which encompasses the construction and the qualitative as well as quantitative properties of solutions of Volterra, Fredholm, delay, impulse integral and integro-differential equations in various spaces on bounded as well as unbounded intervals, will conduce and spur further research in this direction. ... Læs mere

2.636,88 kr.

This collection of 24 papers, which encompasses the construction and the qualitative as well as quantitative properties of solutions of Volterra, Fredholm, delay, impulse integral and integro-differential equations in various spaces on bounded as well as unbounded intervals, will conduce and spur further research in this direction.
... Læs mere
Topological Degree Theory and Applications

af Yeol Je Cho, Yu-Qing Chen ...

Serier serie Mathematical Analysis and Applications
Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its ap ... Læs mere

764,05 kr.

Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its ap
... Læs mere
Noncommutative Distributions

Unitary Representation of Gauge Groups and Algebras

af Sergio Albeverio, Raphael J. Hoegh-Krohn, Jean A. Marion, D. Testard, B. Torresani ...

Serier serie Chapman & Hall/CRC Pure and Applied Mathematics
Covering important aspects of the theory of unitary representations of nuclear Lie groups, this self-contained reference presents the general theory of energy representations and addresses various extensions of path groups and algebras.;Requiring only a general knowledge of the theory of unitary representations, topological groups and elementary st ... Læs mere

2.905,95 kr.

Covering important aspects of the theory of unitary representations of nuclear Lie groups, this self-contained reference presents the general theory of energy representations and addresses various extensions of path groups and algebras.;Requiring only a general knowledge of the theory of unitary representations, topological groups and elementary st
... Læs mere
Semigroups for Delay Equations

af Andras Batkai, Susanna Piazzera ...

In most physical, chemical, biological and economic phenomena it is quite natural to assume that the system not only depends on the present state but also on past occurrences. These circumstances are mathematically described by partial differential equations with delay. This book presents, in a systematic fashion, how delay equations can be studied ... Læs mere

742,52 kr.

In most physical, chemical, biological and economic phenomena it is quite natural to assume that the system not only depends on the present state but also on past occurrences. These circumstances are mathematically described by partial differential equations with delay. This book presents, in a systematic fashion, how delay equations can be studied
... Læs mere
Fuzzy Optimization, Decision-making and Operations Research

Theory and Applications

Redigeret af Chiranjibe Jana, Madhumangal Pal, Ghulam Muhiuddin, Peide Liu ...

Serier serie Mathematics and Statistics (R0)
After developing fuzzy set theory, many contributors focused their research on the extension of fuzzy sets and their computational methodologies, strengthening modern science and technology. In some real-life phenomena, the conventional methods and traditional fuzzy sets cannot be explained, whereas the extension of fuzzy sets and effective new computing methods can explain it adequately.This ... Læs mere

1.401,08 kr.

After developing fuzzy set theory, many contributors focused their research on the extension of fuzzy sets and their computational methodologies, strengthening modern science and technology. In some real-life phenomena, the conventional methods and traditional fuzzy sets cannot be explained, whereas the extension of fuzzy sets and effective new computing methods can explain it adequately.This
... Læs mere
Spectral Theory and Applications of Linear Operators and Block Operator Matrices

af Aref Jeribi ...

Serier serie Mathematics and Statistics (R0)
Examining recent mathematical developments in the study of Fredholm operators, spectral theory and block operator matrices, with a rigorous treatment of classical Riesz theory of polynomially-compact operators, this volume covers both abstract and applied developments in the study of spectral theory. These topics are intimately related to the stability of underlying physical systems and play a ... Læs mere

840,61 kr.

Examining recent mathematical developments in the study of Fredholm operators, spectral theory and block operator matrices, with a rigorous treatment of classical Riesz theory of polynomially-compact operators, this volume covers both abstract and applied developments in the study of spectral theory. These topics are intimately related to the stability of underlying physical systems and play a
... Læs mere
Nonstandard Analysis for the Working Mathematician

Redigeret af Manfred P. H. Wolff, Peter A. Loeb ...

Serier serie Mathematics and Statistics (R0)
Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a ‘secret weapon’ by those who know the technique.This book illuminates the subject ... Læs mere

1.027,44 kr.

Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a ‘secret weapon’ by those who know the technique.This book illuminates the subject
... Læs mere
Smooth-Automorphic Forms and Smooth-Automorphic Representations

af Harald Grobner ...

Serier Bog 17 - Series on Number Theory and Its Applications
This book provides a conceptual introduction into the representation theory of local and global groups, with final emphasis on automorphic representations of reductive groups G over number fields F.Our approach to automorphic representations differs from the usual literature: We do not consider 'K-finite' automorphic forms, but we allow a richer class of smooth functions of uniform moderate growth ... Læs mere

280,62 kr.

This book provides a conceptual introduction into the representation theory of local and global groups, with final emphasis on automorphic representations of reductive groups G over number fields F.Our approach to automorphic representations differs from the usual literature: We do not consider 'K-finite' automorphic forms, but we allow a richer class of smooth functions of uniform moderate growth
... Læs mere
Differential and Difference Equations with Applications

ICDDEA 2019, Lisbon, Portugal, July 1–5

Redigeret af Sandra Pinelas, John R. Graef, Stefan Hilger, Peter Kloeden, Christos Schinas ...

Serier serie Springer Nature Proceedings excluding Computer Science
This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019.First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular focus on ... Læs mere

2.045,72 kr.

This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019.First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular focus on
... Læs mere
Pseudodifferential Equations Over Non-Archimedean Spaces

af W. A. Zúñiga-Galindo ...

Serier serie Mathematics and Statistics (R0)
Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed in a p-adic setting and several particular ... Læs mere

345,53 kr.

Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed in a p-adic setting and several particular
... Læs mere

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Funktionel analyse e-bøger

Proof of the Riemann Hypothesis

Relative Rearrangement

Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps

Operator and Matrix Theory, Function Spaces, and Applications

An Operator Semigroup in Mathematical Genetics

Evolution PDEs with Nonstandard Growth Conditions

Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory

Applied and Computational Matrix Analysis

Regularity Techniques for Elliptic PDEs and the Fractional Laplacian

Korteweg–de Vries Flows with General Initial Conditions

Dilations, Completely Positive Maps and Geometry

Functional Analysis

Modulation Spaces

Analysis And Mathematical Physics

Integral and Integrodifferential Equations

Topological Degree Theory and Applications

Noncommutative Distributions

Semigroups for Delay Equations

Fuzzy Optimization, Decision-making and Operations Research

Spectral Theory and Applications of Linear Operators and Block Operator Matrices

Nonstandard Analysis for the Working Mathematician

Smooth-Automorphic Forms and Smooth-Automorphic Representations

Differential and Difference Equations with Applications

Pseudodifferential Equations Over Non-Archimedean Spaces