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Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

af Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa ...

Serier serie Mathematics and Statistics (R0)
This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers and then defines the notion of bicomplex modules. After introducing a number of norms and inner products on such modules (some of which appear in this volume for the first time), the authors develop the theory of linear ... Læs mere

466,97 kr.

This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers and then defines the notion of bicomplex modules. After introducing a number of norms and inner products on such modules (some of which appear in this volume for the first time), the authors develop the theory of linear
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Neutrices and External Numbers

A Flexible Number System

af Bruno Dinis, Imme van den Berg ...

Serier serie Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Neutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitude and of error analysis, with particular emphasis on behaviour under algebraic operations. The model is formulated in terms of scalar neutrices and external numbers, in the form of an extension of the nonstandard set of real numbers. Many illustrative examples are given. The book starts with ... Læs mere

1.904,90 kr.

Neutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitude and of error analysis, with particular emphasis on behaviour under algebraic operations. The model is formulated in terms of scalar neutrices and external numbers, in the form of an extension of the nonstandard set of real numbers. Many illustrative examples are given. The book starts with
... Læs mere
Real Analysis

af Peter A. Loeb ...

Serier serie Mathematics and Statistics (R0)
This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors.The ... Læs mere

560,38 kr.

This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors.The
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Applied Functional Analysis

af J. Tinsley Oden, Leszek Demkowicz ...

Serier serie Textbooks in Mathematics
Applied Functional Analysis, Third Edition provides a solid mathematical foundation for the subject. It motivates students to study functional analysis by providing many contemporary applications and examples drawn from mechanics and science.This well-received textbook starts with a thorough introduction to modern mathematics before continuing with detailed coverage of linear algebra, Lebesque ... Læs mere

559,56 kr.

Applied Functional Analysis, Third Edition provides a solid mathematical foundation for the subject. It motivates students to study functional analysis by providing many contemporary applications and examples drawn from mechanics and science.This well-received textbook starts with a thorough introduction to modern mathematics before continuing with detailed coverage of linear algebra, Lebesque
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Functional Analysis in Applied Mathematics and Engineering

af Michael Pedersen ...

Serier serie Studies in Advanced Mathematics
Presenting excellent material for a first course on functional analysis , Functional Analysis in Applied Mathematics and Engineering concentrates on material that will be useful to control engineers from the disciplines of electrical, mechanical, and aerospace engineering.This text/reference discusses:rudimentary topologyBanach's fixed point theorem with applicationsL^p-spacesdensity theorems for ... Læs mere

764,05 kr.

Presenting excellent material for a first course on functional analysis , Functional Analysis in Applied Mathematics and Engineering concentrates on material that will be useful to control engineers from the disciplines of electrical, mechanical, and aerospace engineering.This text/reference discusses:rudimentary topologyBanach's fixed point theorem with applicationsL^p-spacesdensity theorems for
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Übungen zur Funktionalanalysis

af Simone Malacrida ...

In diesem Buch werden Übungen zu folgenden mathematischen Themen durchgeführt:Banach- und HilberträumeOperationen in VektorräumenLebesgue-Maß und Integral.Außerdem werden erste theoretische Hinweise gegeben, um die Durchführung der Übungen verständlich zu machen. ... Læs mere

31,99 kr.

In diesem Buch werden Übungen zu folgenden mathematischen Themen durchgeführt:Banach- und HilberträumeOperationen in VektorräumenLebesgue-Maß und Integral.Außerdem werden erste theoretische Hinweise gegeben, um die Durchführung der Übungen verständlich zu machen.
... Læs mere
Continuity Theory

af Louis Nel ...

Serier serie Mathematics and Statistics (R0)
This book presents a detailed, self-contained theory of continuous mappings. It is mainly addressed to students who have already studied these mappings in the setting of metric spaces, as well as multidimensional differential calculus. The needed background facts about sets, metric spaces and linear algebra are developed in detail, so as to provide a seamless transition between students' previous ... Læs mere

466,97 kr.

This book presents a detailed, self-contained theory of continuous mappings. It is mainly addressed to students who have already studied these mappings in the setting of metric spaces, as well as multidimensional differential calculus. The needed background facts about sets, metric spaces and linear algebra are developed in detail, so as to provide a seamless transition between students' previous
... Læs mere
Modern Fourier Analysis

af Loukas Grafakos ...

Serier serie Mathematics and Statistics (R0)
This text is aimed at graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis. The text covers modern topics and techniques in function spaces, atomic decompositions, singular integrals of nonconvolution type and the boundedness and convergence of Fourier series and integrals. The exposition and style are designed ... Læs mere

653,79 kr.

This text is aimed at graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis. The text covers modern topics and techniques in function spaces, atomic decompositions, singular integrals of nonconvolution type and the boundedness and convergence of Fourier series and integrals. The exposition and style are designed
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Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 2014–2016

Redigeret af Bo'az Klartag, Emanuel Milman ...

Serier serie Mathematics and Statistics (R0)
As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. A classical theme in the Local Theory of Banach Spaces which is well represented in this volume is the identification of lower-dimensional structures in high-dimensional objects. More recent applications of high-dimensionality are ... Læs mere

653,79 kr.

As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. A classical theme in the Local Theory of Banach Spaces which is well represented in this volume is the identification of lower-dimensional structures in high-dimensional objects. More recent applications of high-dimensionality are
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Almost Periodic Functions and Integro-Differential-Difference Equations in Locally Convex Spaces

af Marko Kostić ...

Almost Periodic Functions and Integro-Differential-Difference Equations in Locally Convex Spaces provides a concise yet thorough exploration of almost periodic functions in locally convex spaces and their applications. The book examines abstract Volterra integro-differential-difference inclusions, the multidimensional vector-valued Laplace transform, and the dynamical properties of multiparameter ... Læs mere

2.314,00 kr.

FORUDBESTIL

Almost Periodic Functions and Integro-Differential-Difference Equations in Locally Convex Spaces provides a concise yet thorough exploration of almost periodic functions in locally convex spaces and their applications. The book examines abstract Volterra integro-differential-difference inclusions, the multidimensional vector-valued Laplace transform, and the dynamical properties of multiparameter
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Geometry of Deep Learning

A Signal Processing Perspective

af Jong Chul Ye ...

Serier serie Mathematics and Statistics (R0)
The focus of this book is on providing students with insights into geometry that can help them understand deep learning from a unified perspective. Rather than describing deep learning as an implementation technique, as is usually the case in many existing deep learning books, here, deep learning is explained as an ultimate form of signal processing techniques that can be imagined.To support this ... Læs mere

513,67 kr.

The focus of this book is on providing students with insights into geometry that can help them understand deep learning from a unified perspective. Rather than describing deep learning as an implementation technique, as is usually the case in many existing deep learning books, here, deep learning is explained as an ultimate form of signal processing techniques that can be imagined.To support this
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The Corona Problem

Connections Between Operator Theory, Function Theory, and Geometry

Redigeret af Eric T. Sawyer, Sergei Treil, Brett D. Wick, Ronald G. Douglas, Steven G. Krantz ...

Serier serie Mathematics and Statistics (R0)
The purpose of the corona workshop was to consider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory and functional analysis. It was held in June 2012 at the Fields Institute in Toronto, and attended by about fifty mathematicians. This volume validates and commemorates the workshop, ... Læs mere

466,97 kr.

The purpose of the corona workshop was to consider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory and functional analysis. It was held in June 2012 at the Fields Institute in Toronto, and attended by about fifty mathematicians. This volume validates and commemorates the workshop,
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Operator Analysis

Hilbert Space Methods in Complex Analysis

af Jim Agler, John Edward McCarthy, Nicholas John Young ...

Serier Bog 219 - Cambridge Tracts in Mathematics
This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation ... Læs mere

1.435,17 kr.

This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation
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Soft Solids

A Primer to the Theoretical Mechanics of Materials

af Alan D. Freed ...

Serier serie Mathematics and Statistics (R0)
This textbook presents the physical principles pertinent to the mathematical modeling of soft materials used in engineering practice, including both man-made materials and biological tissues. It is intended for seniors and masters-level graduate students in engineering, physics or applied mathematics. It will also be a valuable resource for researchers working in mechanics, biomechanics and other ... Læs mere

560,38 kr.

This textbook presents the physical principles pertinent to the mathematical modeling of soft materials used in engineering practice, including both man-made materials and biological tissues. It is intended for seniors and masters-level graduate students in engineering, physics or applied mathematics. It will also be a valuable resource for researchers working in mechanics, biomechanics and other
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Background and Recent Developments of Metric Fixed Point Theory

Redigeret af Dhananjay Gopal, Poom Kumam, Mujahid Abbas ...

This book focusing on Metric fixed point theory is designed to provide an extensive understanding of the topic with the latest updates. It provides a good source of references, open questions and new approaches. While the book is principally addressed to graduate students, it is also intended to be useful to mathematicians, both pure and applied. ... Læs mere

634,90 kr.

This book focusing on Metric fixed point theory is designed to provide an extensive understanding of the topic with the latest updates. It provides a good source of references, open questions and new approaches. While the book is principally addressed to graduate students, it is also intended to be useful to mathematicians, both pure and applied.
... Læs mere
Analytic Theory of Itô-Stochastic Differential Equations with Non-smooth Coefficients

af Haesung Lee, Wilhelm Stannat, Gerald Trutnau ...

Serier serie Mathematics and Statistics (R0)
This book provides analytic tools to describe local and global behavior of solutions to Itô-stochastic differential equations with non-degenerate Sobolev diffusion coefficients and locally integrable drift. Regularity theory of partial differential equations is applied to construct such solutions and to obtain strong Feller properties, irreducibility, Krylov-type estimates, moment inequalities, ... Læs mere

513,67 kr.

This book provides analytic tools to describe local and global behavior of solutions to Itô-stochastic differential equations with non-degenerate Sobolev diffusion coefficients and locally integrable drift. Regularity theory of partial differential equations is applied to construct such solutions and to obtain strong Feller properties, irreducibility, Krylov-type estimates, moment inequalities,
... Læs mere
Elliptic Polynomials

af J.S. Lomont, John Brillhart ...

A remarkable interplay exists between the fields of elliptic functions and orthogonal polynomials. In the first monograph to explore their connections, Elliptic Polynomials combines these two areas of study, leading to an interesting development of some basic aspects of each. It presents new material about various classes of polynomials and about t ... Læs mere

764,05 kr.

A remarkable interplay exists between the fields of elliptic functions and orthogonal polynomials. In the first monograph to explore their connections, Elliptic Polynomials combines these two areas of study, leading to an interesting development of some basic aspects of each. It presents new material about various classes of polynomials and about t
... Læs mere
Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains

af Mikhail Borsuk ...

Serier serie Mathematics and Statistics (R0)
The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is considered both for linear and quasi-linear equations, which are among the less studied varieties. As a second edition of Transmission Problems for Elliptic Second-Order Equations for Non-Smooth ... Læs mere

513,67 kr.

The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is considered both for linear and quasi-linear equations, which are among the less studied varieties. As a second edition of Transmission Problems for Elliptic Second-Order Equations for Non-Smooth
... Læs mere
A Course in Real Analysis

af Hugo D. Junghenn ...

Serier serie Textbooks in Mathematics
Now in its second editon, A Course in Real Analysis provides a rigorous treatment of the foundations of differential and integral calculus. It proceeds gradually from an axiomatic characterization of the real number system to the study of differentiation and integration on m-dimensional surfaces. Proofs of theorems are given in detail, and many examples are provided to illustrate the concepts ... Læs mere

1.086,93 kr.

Now in its second editon, A Course in Real Analysis provides a rigorous treatment of the foundations of differential and integral calculus. It proceeds gradually from an axiomatic characterization of the real number system to the study of differentiation and integration on m-dimensional surfaces. Proofs of theorems are given in detail, and many examples are provided to illustrate the concepts
... Læs mere
Linear Time-Invariant Systems, Behaviors and Modules

af Ulrich Oberst, Martin Scheicher, Ingrid Scheicher ...

Serier serie Differential-Algebraic Equations Forum
This book comprehensively examines various significant aspects of linear time-invariant systems theory, both for continuous-time and discrete-time. Using a number of new mathematical methods it provides complete and exact proofs of all the systems theoretic and electrical engineering results, as well as important results and algorithms demonstrated with nontrivial computer examples. The book is ... Læs mere

840,61 kr.

This book comprehensively examines various significant aspects of linear time-invariant systems theory, both for continuous-time and discrete-time. Using a number of new mathematical methods it provides complete and exact proofs of all the systems theoretic and electrical engineering results, as well as important results and algorithms demonstrated with nontrivial computer examples. The book is
... Læs mere
Geometric Aspects of General Topology

af Katsuro Sakai ...

Serier serie Mathematics and Statistics (R0)
This book is designed for graduate students to acquire knowledge of simplicial complexes, Dimension Theory, ANR Theory (Theory of Retracts), and related topics. These theories are connected with various ﬁelds in Geometric Topology, Algebraic Topology as well as General Topology. Except for the second half of the last chapter, this book is entirely self-contained. To make the ideas of proofs easier ... Læs mere

1.774,73 kr.

This book is designed for graduate students to acquire knowledge of simplicial complexes, Dimension Theory, ANR Theory (Theory of Retracts), and related topics. These theories are connected with various ﬁelds in Geometric Topology, Algebraic Topology as well as General Topology. Except for the second half of the last chapter, this book is entirely self-contained. To make the ideas of proofs easier
... Læs mere
Fourier Analysis

Analytic and Geometric Aspects

Redigeret af William O. Bray ...

Serier serie Lecture Notes in Pure and Applied Mathematics
Providing complete expository and research papers on the geometric and analytic aspects of Fourier analysis, this work discusses new approaches to classical problems in the theory of trigonometric series, singular integrals/pseudo-differential operators, Fourier analysis on various groups, numerical aspects of Fourier analysis and their applications, wavelets and more. ... Læs mere

3.444,09 kr.

Providing complete expository and research papers on the geometric and analytic aspects of Fourier analysis, this work discusses new approaches to classical problems in the theory of trigonometric series, singular integrals/pseudo-differential operators, Fourier analysis on various groups, numerical aspects of Fourier analysis and their applications, wavelets and more.
... Læs mere
The Theory of H(b) Spaces: Volume 2

af Emmanuel Fricain, Javad Mashreghi ...

Serier Bog 21 - New Mathematical Monographs
An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, ... Læs mere

1.828,04 kr.

An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces,
... Læs mere
New Prospects in Direct, Inverse and Control Problems for Evolution Equations

Redigeret af Angelo Favini, Genni Fragnelli, Rosa Maria Mininni ...

Serier serie Mathematics and Statistics (R0)
This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have ... Læs mere

466,97 kr.

This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have
... Læs mere

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Funktionel analyse e-bøger

Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

Neutrices and External Numbers

Real Analysis

Applied Functional Analysis

Functional Analysis in Applied Mathematics and Engineering

Übungen zur Funktionalanalysis

Continuity Theory

Modern Fourier Analysis

Geometric Aspects of Functional Analysis

Almost Periodic Functions and Integro-Differential-Difference Equations in Locally Convex Spaces

Geometry of Deep Learning

The Corona Problem

Operator Analysis

Soft Solids

Background and Recent Developments of Metric Fixed Point Theory

Analytic Theory of Itô-Stochastic Differential Equations with Non-smooth Coefficients

Elliptic Polynomials

Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains

A Course in Real Analysis

Linear Time-Invariant Systems, Behaviors and Modules

Geometric Aspects of General Topology

Fourier Analysis

The Theory of H(b) Spaces: Volume 2

New Prospects in Direct, Inverse and Control Problems for Evolution Equations