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Einführung in die Funktionalanalysis

de Christian Clason ...

Series series Life Science and Basic Disciplines (German Language)
Funktionalanalysis hat sich in den letzten Jahrzehnten zu einer der wesentlichen Grundlagen der modernen angewandten Mathematik entwickelt, von der Theorie und Numerik von Differentialgleichungen über Optimierung und Wahrscheinlichkeitstheorie bis zu medizinischer Bildgebung und mathematischer Bildverarbeitung.Das vorliegende Lehrbuch bietet eine kompakte Einführung in die Theorie und ist ... Leer más

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Funktionalanalysis hat sich in den letzten Jahrzehnten zu einer der wesentlichen Grundlagen der modernen angewandten Mathematik entwickelt, von der Theorie und Numerik von Differentialgleichungen über Optimierung und Wahrscheinlichkeitstheorie bis zu medizinischer Bildgebung und mathematischer Bildverarbeitung.Das vorliegende Lehrbuch bietet eine kompakte Einführung in die Theorie und ist
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A Guide to Spectral Theory

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de Christophe Cheverry, Nicolas Raymond ...

Series series Mathematics and Statistics (R0)
This textbook provides a graduate-level introduction to the spectral theory of linear operators on Banach and Hilbert spaces, guiding readers through key components of spectral theory and its applications in quantum physics. Based on their extensive teaching experience, the authors present topics in a progressive manner so that each chapter builds on the ones preceding. Researchers and students ... Leer más

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Functional Analysis: Entering Hilbert Space (Second Edition)

de Vagn Lundsgaard Hansen ...

This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces. It exhibits a construction of the space of pth power Lebesgue integrable functions by a completion procedure with respect to a suitable norm in a space of continuous functions, including ... Leer más

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This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces. It exhibits a construction of the space of pth power Lebesgue integrable functions by a completion procedure with respect to a suitable norm in a space of continuous functions, including
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L² Approaches in Several Complex Variables

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de Takeo Ohsawa ...

Series series Mathematics and Statistics (R0)
The purpose of this monograph is to present the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry. Highlighted are the new precise results on the L² extension of holomorphic functions.In Chapter 1, the classical questions of several complex variables motivating the ... Leer más

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The purpose of this monograph is to present the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry. Highlighted are the new precise results on the L² extension of holomorphic functions.In Chapter 1, the classical questions of several complex variables motivating the
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Mathematical Theory of Compressible Viscous Fluids

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de Trygve G. Karper, Milan Pokorný, Eduard Feireisl ...

Series series Mathematics and Statistics (R0)
This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical tools needed to handle well-posedness of the underlying Navier-Stokes system, study the problems of sequential stability, and, lastly, construct ... Leer más

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This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical tools needed to handle well-posedness of the underlying Navier-Stokes system, study the problems of sequential stability, and, lastly, construct
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Graph Theory and Decomposition

de Jomon Kottarathil, Sudev Naduvath, Joseph Varghese Kureethara ...

This E-Book + version contains the following enhancements:10 videos, one for each section explaining the corresponding contents.The book Graph Theory and Decomposition covers major areas of the decomposition of grapIt is a three-part reference book with nine chapters that is aimed at enthusiasts as well as research scholars.It comprehends historical evolution and basic terminologies.It deliberates ... Leer más

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This E-Book + version contains the following enhancements:10 videos, one for each section explaining the corresponding contents.The book Graph Theory and Decomposition covers major areas of the decomposition of grapIt is a three-part reference book with nine chapters that is aimed at enthusiasts as well as research scholars.It comprehends historical evolution and basic terminologies.It deliberates
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Functional Analysis in Interdisciplinary Applications

Astana, Kazakhstan, October 2017

Edición de Tynysbek Sh. Kalmenov, Erlan D. Nursultanov, Michael V. Ruzhansky, Makhmud A. Sadybekov ...

Series series Springer Nature Proceedings excluding Computer Science
This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics. The book contains over forty carefully refereed contributions to the conference “Functional Analysis in Interdisciplinary Applications” (Astana, Kazakhstan, October 2017). Topics covered include the theory of functions and functional spaces; ... Leer más

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This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics. The book contains over forty carefully refereed contributions to the conference “Functional Analysis in Interdisciplinary Applications” (Astana, Kazakhstan, October 2017). Topics covered include the theory of functions and functional spaces;
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Fuzzy Operator Theory in Mathematical Analysis

de Yeol Je Cho, Themistocles M. Rassias, Reza Saadati ...

Series series Mathematics and Statistics (R0)
This self-contained monograph presents an overview of fuzzy operator theory in mathematical analysis. Concepts, principles, methods, techniques, and applications of fuzzy operator theory are unified in this book to provide an introduction to graduate students and researchers in mathematics, applied sciences, physics, engineering, optimization, and operations research. New approaches to fuzzy ... Leer más

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This self-contained monograph presents an overview of fuzzy operator theory in mathematical analysis. Concepts, principles, methods, techniques, and applications of fuzzy operator theory are unified in this book to provide an introduction to graduate students and researchers in mathematics, applied sciences, physics, engineering, optimization, and operations research. New approaches to fuzzy
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Hilbert

de Constance Reid ...

Series series Social Sciences (R0)
Now in new trade paper editions, these classic biographies of two of the greatest 20th Century mathematicians are being released under the Copernicus imprint. These noteworthy accounts of the lives of David Hilbert and Richard Courant are closely related: Courant's story is, in many ways, seen as the sequel to the story of Hilbert. Originally published to great acclaim, both books explore the ... Leer más

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Now in new trade paper editions, these classic biographies of two of the greatest 20th Century mathematicians are being released under the Copernicus imprint. These noteworthy accounts of the lives of David Hilbert and Richard Courant are closely related: Courant's story is, in many ways, seen as the sequel to the story of Hilbert. Originally published to great acclaim, both books explore the
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Advances in Quantum Mechanics

Contemporary Trends and Open Problems

Edición de Alessandro Michelangeli, Gianfausto Dell'Antonio ...

Series series Mathematics and Statistics (R0)
This volume collects recent contributions on the contemporary trends in the mathematics of quantum mechanics, and more specifically in mathematical problems arising in quantum many-body dynamics, quantum graph theory, cold atoms, unitary gases, with particular emphasis on the developments of the specific mathematical tools needed, including: linear and non-linear Schrödinger equations, topological ... Leer más

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This volume collects recent contributions on the contemporary trends in the mathematics of quantum mechanics, and more specifically in mathematical problems arising in quantum many-body dynamics, quantum graph theory, cold atoms, unitary gases, with particular emphasis on the developments of the specific mathematical tools needed, including: linear and non-linear Schrödinger equations, topological
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Geometric Aspects of Harmonic Analysis

Edición de Paolo Ciatti, Alessio Martini ...

Series series Springer Nature Proceedings excluding Computer Science
This volume originated in talks given in Cortona at the conference "Geometric aspects of harmonic analysis" held in honor of the 70th birthday of Fulvio Ricci. It presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest mathematicians working in these areas. The subjects dealt with are topics of current interest in ... Leer más

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This volume originated in talks given in Cortona at the conference "Geometric aspects of harmonic analysis" held in honor of the 70th birthday of Fulvio Ricci. It presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest mathematicians working in these areas. The subjects dealt with are topics of current interest in
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Nonlinear Functional Analysis with Applications to Combustion Theory

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Series series Mathematics and Statistics (R0)
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de Juan Cebrian ...

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The Reasoning of Quantum Mechanics

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de Horst Beyer ...

Series series eBColl Synthesis Collection 11
This book presents and details the process of quantization of a classical mechanical system in a relevant physical system, the harmonic oscillator. In quantum field theory or general relativity, mathematics and physics are inextricably interwoven. As such, the book is mathematically rigorous. The author focuses on the properties of the quantum system that can be observed and measured and ... Leer más

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Connected Sets in Global Bifurcation Theory

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Series series Mathematics and Statistics (R0)
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This book explores the topological properties of connected and path-connected solution sets for nonlinear equations in Banach spaces, focusing on the distinction between these concepts. Building on Rabinowitz's dichotomy and classical results on Peano continua, the authors introduce "congestion points"—where connected sets fail to be weakly locally connected—and examine the extent to which their
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Nonlinear Theory of Generalized Functions

Edición de Michael Oberguggenberger, Michael Grosser, Michael Kunzinger, Gunther Hormann ...

Series series Chapman & Hall/CRC Research Notes in Mathematics Series
Questions regarding the interplay of nonlinearity and the creation and propagation of singularities arise in a variety of fields-including nonlinear partial differential equations, noise-driven stochastic partial differential equations, general relativity, and geometry with singularities. A workshop held at the Erwin-Schrödinger International Institute for Mathematical Physics in Vienna ... Leer más

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Questions regarding the interplay of nonlinearity and the creation and propagation of singularities arise in a variety of fields-including nonlinear partial differential equations, noise-driven stochastic partial differential equations, general relativity, and geometry with singularities. A workshop held at the Erwin-Schrödinger International Institute for Mathematical Physics in Vienna
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Hardy Type Inequalities on Time Scales

de Donal O'Regan, Ravi P. Agarwal, Samir H. Saker ...

Series series Mathematics and Statistics (R0)
The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T. In particular, the book contains the time scale versions of classical Hardy type inequalities, Hardy and Littlewood type inequalities, Hardy-Knopp type inequalities via convexity, Copson type inequalities, Copson-Beesack type inequalities, Liendeler type inequalities, ... Leer más

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The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T. In particular, the book contains the time scale versions of classical Hardy type inequalities, Hardy and Littlewood type inequalities, Hardy-Knopp type inequalities via convexity, Copson type inequalities, Copson-Beesack type inequalities, Liendeler type inequalities,
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Esercizi di matematica: trasformate

de Simone Malacrida ...

In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:trasformata di Fouriertrasformata di Laplacetrasformata zeta e trasformate discreteSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi. ... Leer más

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Wavelet Analysis

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Wavelet Analysis: Basic Concepts and Applications provides a basic and self-contained introduction to the ideas underpinning wavelet theory and its diverse applications. This book is suitable for master’s or PhD students, senior researchers, or scientists working in industrial settings, where wavelets are used to model real-world phenomena and data needs (such as finance, medicine, engineering, ... Leer más

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Edición de Reiner Kuhnau ...

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de Mouffak Benchohra, Erdal Karapınar, Jamal Eddine Lazreg, Abdelkrim Salim ...

Series series eBColl Synthesis Collection 12
This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations based on the most recent research in the area ... Leer más

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This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations based on the most recent research in the area
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Advances in Variational and Hemivariational Inequalities

Theory, Numerical Analysis, and Applications

Edición de Weimin Han, Stanisław Migórski, Mircea Sofonea ...

Series series Mathematics and Statistics (R0)
This volume is comprised of articles providing new results on variational and hemivariational inequalities with applications to Contact Mechanics unavailable from other sources. The book will be of particular interest to graduate students and young researchers in applied and pure mathematics, civil, aeronautical and mechanical engineering, and can be used as supplementary reading material for ... Leer más

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This volume is comprised of articles providing new results on variational and hemivariational inequalities with applications to Contact Mechanics unavailable from other sources. The book will be of particular interest to graduate students and young researchers in applied and pure mathematics, civil, aeronautical and mechanical engineering, and can be used as supplementary reading material for
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Geometry in a Fréchet Context

A Projective Limit Approach

de C. T. J. Dodson, George Galanis, Efstathios Vassiliou ...

Series Libro 428 - London Mathematical Society Lecture Note Series
Many geometrical features of manifolds and fibre bundles modelled on Fréchet spaces either cannot be defined or are difficult to handle directly. This is due to the inherent deficiencies of Fréchet spaces; for example, the lack of a general solvability theory for differential equations, the non-existence of a reasonable Lie group structure on the general linear group of a Fréchet space, and the ... Leer más

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Many geometrical features of manifolds and fibre bundles modelled on Fréchet spaces either cannot be defined or are difficult to handle directly. This is due to the inherent deficiencies of Fréchet spaces; for example, the lack of a general solvability theory for differential equations, the non-existence of a reasonable Lie group structure on the general linear group of a Fréchet space, and the
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The Reasoning of Quantum Mechanics

Operator Theory and the Harmonic Oscillator

de Horst R. Beyer ...

Series series Synthesis Collection of Technology (R0)
This Second Edition presents and details the process of quantization of a classical mechanical system in a relevant physical system, the harmonic oscillator. As mathematics and physics are inextricably interwoven in quantum theories, the author takes a mathematically rigorous approach. The book focuses on properties of the quantum system that can be observed and measured, and the author then ... Leer más

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This Second Edition presents and details the process of quantization of a classical mechanical system in a relevant physical system, the harmonic oscillator. As mathematics and physics are inextricably interwoven in quantum theories, the author takes a mathematically rigorous approach. The book focuses on properties of the quantum system that can be observed and measured, and the author then
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Fuzzy Operator Theory in Mathematical Analysis

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Advances in Quantum Mechanics

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