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Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 2017-2019 Volume I

Edición de Bo'az Klartag, Emanuel Milman ...

Series series Mathematics and Statistics (R0)
Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest ... Leer más

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Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest
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Attractors, Shadowing, and Approximation of Abstract Semilinear Differential Equations

de Sergey I Piskarev, Alexey V Ovchinnikov ...

The book is devoted to some branches of the theory of approximation of abstract differential equations, namely, approximation of attractors in the case of hyperbolic equilibrium points, shadowing, and approximation of time-fractional semilinear problems.In this book, the most famous methods of several urgent branches of the theory of abstract differential equations scattered in numerous journal ... Leer más

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The book is devoted to some branches of the theory of approximation of abstract differential equations, namely, approximation of attractors in the case of hyperbolic equilibrium points, shadowing, and approximation of time-fractional semilinear problems.In this book, the most famous methods of several urgent branches of the theory of abstract differential equations scattered in numerous journal
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Orthogonal Functions

Moment Theory and Continued Fractions

Edición de William Jones ...

Series series Lecture Notes in Pure and Applied Mathematics
"Oulines an array of recent work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal functions, moment theory, and integral transforms. Describes links between continued fractions. Pade approximation, special functions, and Gaussian quadrature." ... Leer más

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"Oulines an array of recent work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal functions, moment theory, and integral transforms. Describes links between continued fractions. Pade approximation, special functions, and Gaussian quadrature."
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Functions of Omega-Bounded Type

Basic Theory

de Armen M. Jerbashian, Joel E. Restrepo ...

Series series Mathematics and Statistics (R0)
The book gives the basic results of the theory of the spaces Apω of functions holomorphic in the unit disc, halfplane and in the finite complex plane, which depend on functional weights ω permitting any rate of growth of a function near the boundary of the domain. This continues and essentially improves M.M. Djrbashian's theory of spaces Apα (1945) of functions holomorphic in the unit disc, the ... Leer más

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The book gives the basic results of the theory of the spaces Apω of functions holomorphic in the unit disc, halfplane and in the finite complex plane, which depend on functional weights ω permitting any rate of growth of a function near the boundary of the domain. This continues and essentially improves M.M. Djrbashian's theory of spaces Apα (1945) of functions holomorphic in the unit disc, the
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Geometry and Martingales in Banach Spaces

de Wojbor A. Woyczynski ...

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces. Geometric concepts such as dentability, uniform smoothness, uniform convexity, Beck convexity, etc. turn out to characterize asymptotic ... Leer más

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Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces. Geometric concepts such as dentability, uniform smoothness, uniform convexity, Beck convexity, etc. turn out to characterize asymptotic
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A Mathematical Introduction to Compressive Sensing

de Simon Foucart, Holger Rauhut ...

Series series Applied and Numerical Harmonic Analysis
At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensing finds applications in imaging, signal processing, and many other domains. In the areas of applied mathematics, electrical engineering, and theoretical computer science, ... Leer más

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At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensing finds applications in imaging, signal processing, and many other domains. In the areas of applied mathematics, electrical engineering, and theoretical computer science,
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Fundamental Solutions of Linear Partial Differential Operators

Theory and Practice

de Norbert Ortner, Peter Wagner ...

Series series Mathematics and Statistics (R0)
This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations. Many illustrative examples also show techniques for finding such solutions in terms of integrals. Particular attention is given to developing the fundamentals of distribution theory, accompanied by calculations of ... Leer más

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This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations. Many illustrative examples also show techniques for finding such solutions in terms of integrals. Particular attention is given to developing the fundamentals of distribution theory, accompanied by calculations of
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From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory

A Volume in Honor of Lance Littlejohn's 70th Birthday

Edición de Fritz Gesztesy, Andrei Martinez-Finkelshtein ...

Series series Mathematics and Statistics (R0)
The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects. Although the event, originally scheduled as the Baylor Analysis Fest, had to be postponed due to the pandemic, scholars from around the globe have contributed research in a broad range of mathematical ... Leer más

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The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects. Although the event, originally scheduled as the Baylor Analysis Fest, had to be postponed due to the pandemic, scholars from around the globe have contributed research in a broad range of mathematical
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Day Trade Your Way to Success

de IDA LOOME ...

This book could change your life. This book could facilitate your life-long success story.This book is Day Trade Your Way to Success!Day Trade Your Way to Sucess is a book about basics concepts on Forex Trading.It describes the basics of getting started and how you can level up to success.Be adventurous, be curious, succeed your way through day trade! ... Leer más

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This book could change your life. This book could facilitate your life-long success story.This book is Day Trade Your Way to Success!Day Trade Your Way to Sucess is a book about basics concepts on Forex Trading.It describes the basics of getting started and how you can level up to success.Be adventurous, be curious, succeed your way through day trade!
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Exercises in Analysis

Part 2: Nonlinear Analysis

de Leszek Gasiński, Nikolaos S. Papageorgiou ...

Series Libro 2 - Mathematics and Statistics (R0)
This second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Theory and Fixed Point Theory, and Variational and Topological Methods. Each of five topics corresponds to a different chapter with inclusion of the basic theory and accompanying main definitions and ... Leer más

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This second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Theory and Fixed Point Theory, and Variational and Topological Methods. Each of five topics corresponds to a different chapter with inclusion of the basic theory and accompanying main definitions and
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Applied Analysis in Biological and Physical Sciences

ICMBAA, Aligarh, India, June 2015

Edición de Jim M. Cushing, M. Saleem, H. M. Srivastava, Mumtaz Ahmad Khan, M. Merajuddin ...

Series series Springer Nature Proceedings excluding Computer Science
The book contains recent developments and contemporary research in mathematical analysis and in its application to problems arising from the biological and physical sciences. The book is of interest to readers who wish to learn of new research in such topics as linear and nonlinear analysis, mathematical biology and ecology, dynamical systems, graph theory, variational analysis and inequalities, ... Leer más

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The book contains recent developments and contemporary research in mathematical analysis and in its application to problems arising from the biological and physical sciences. The book is of interest to readers who wish to learn of new research in such topics as linear and nonlinear analysis, mathematical biology and ecology, dynamical systems, graph theory, variational analysis and inequalities,
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Analysis

From Concepts to Applications

de Jean-Paul Penot ...

Series series Mathematics and Statistics (R0)
This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems.In addition to classical results of functional analysis, ... Leer más

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This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems.In addition to classical results of functional analysis,
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Operator Approximant Problems Arising from Quantum Theory

de Philip J. Maher ...

Series series Mathematics and Statistics (R0)
This book offers an account of a number of aspects of operator theory, mainly developed since the 1980s, whose problems have their roots in quantum theory. The research presented is in non-commutative operator approximation theory or, to use Halmos' terminology, in operator approximants. Focusing on the concept of approximants, this self-contained book is suitable for graduate courses. ... Leer más

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This book offers an account of a number of aspects of operator theory, mainly developed since the 1980s, whose problems have their roots in quantum theory. The research presented is in non-commutative operator approximation theory or, to use Halmos' terminology, in operator approximants. Focusing on the concept of approximants, this self-contained book is suitable for graduate courses.
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Il libro di matematica: volume 1

de Simone Malacrida ...

In questo libro è presentata la maggior parte della matematica, partendo dai concetti basilari ed elementari, fino a sondare i settori più complessi e avanzati. La matematica è affrontata sia dal punto di vista teorico, esponendo i teoremi e le definizioni di ogni particolare tipologia, sia a livello pratico, andando a risolvere oltre 1'000 esercizi. L’approccio alla matematica è dato da una ... Leer más

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Lectures on Convex Geometry

de Daniel Hug, Wolfgang Weil ...

Series series Mathematics and Statistics (R0)
This book provides a self-contained introduction to convex geometry in Euclidean space. After covering the basic concepts and results, it develops Brunn–Minkowski theory, with an exposition of mixed volumes, the Brunn–Minkowski inequality, and some of its consequences, including the isoperimetric inequality. Further central topics are then treated, such as surface area measures, projection ... Leer más

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This book provides a self-contained introduction to convex geometry in Euclidean space. After covering the basic concepts and results, it develops Brunn–Minkowski theory, with an exposition of mixed volumes, the Brunn–Minkowski inequality, and some of its consequences, including the isoperimetric inequality. Further central topics are then treated, such as surface area measures, projection
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Selected Topics on Generalized Integration

de Tin Lam Toh, Hemanta Kalita, Anca Croitoru, Tomas Perez Becerra, Bipan Hazarika ...

This comprehensive volume offers an in-depth exploration of advanced integration theories, extending beyond classical methods to unify and expand the field. Building on the foundational work of Jaroslav Kurzweil and Ralph Henstock, the book delves into the Henstock–Kurzweil and McShane gauge integrals, presenting a more intuitive and versatile alternative to the traditional Lebesgue integral. By ... Leer más

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This comprehensive volume offers an in-depth exploration of advanced integration theories, extending beyond classical methods to unify and expand the field. Building on the foundational work of Jaroslav Kurzweil and Ralph Henstock, the book delves into the Henstock–Kurzweil and McShane gauge integrals, presenting a more intuitive and versatile alternative to the traditional Lebesgue integral. By
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From Particle Systems to Partial Differential Equations

PSPDE X, Braga, Portugal, June 2022

Edición de Eric Carlen, Patrícia Gonçalves, Ana Jacinta Soares ...

Series series Springer Nature Proceedings excluding Computer Science
This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations X, which was held at the University of Minho, Braga, Portugal, from 2022. It includes papers on mathematical problems motivated by various applications in physics, engineering, economics, chemistry, and biology. ... Leer más

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This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations X, which was held at the University of Minho, Braga, Portugal, from 2022. It includes papers on mathematical problems motivated by various applications in physics, engineering, economics, chemistry, and biology.
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Analytic Methods of Spectral Representations of Non-Selfadjoint (Non-Unitary) Operators

de Vladimir A. Zolotarev ...

Series series Mathematics and Statistics (R0)
This book is concerned with the theory of model representations of linear non-selfadjoint and non-unitary operators. This booming area of functional analysis owes its origins to the fundamental works of M. S. Livšic on the theory of characteristic functions, the deep studies of B. S.-Nagy and C. Foias on dilation theory, and also to the Lax–Phillips scattering theory. Here, a uniform conceptual ... Leer más

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This book is concerned with the theory of model representations of linear non-selfadjoint and non-unitary operators. This booming area of functional analysis owes its origins to the fundamental works of M. S. Livšic on the theory of characteristic functions, the deep studies of B. S.-Nagy and C. Foias on dilation theory, and also to the Lax–Phillips scattering theory. Here, a uniform conceptual
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Spectral Theory and Quantum Mechanics

de Mathieu Lewin ...

Series series Mathematics and Statistics (R0)
This textbook presents the spectral theory of self-adjoint operators on Hilbert space and its applications in quantum mechanics. Based on a course taught by the author in Paris, the book not only covers the mathematical theory but also provides its physical interpretation, offering an accessible introduction to quantum mechanics for students with a background in mathematics. The presentation ... Leer más

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This textbook presents the spectral theory of self-adjoint operators on Hilbert space and its applications in quantum mechanics. Based on a course taught by the author in Paris, the book not only covers the mathematical theory but also provides its physical interpretation, offering an accessible introduction to quantum mechanics for students with a background in mathematics. The presentation
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Algebraic Topology and Related Topics

Edición de Mahender Singh, Yongjin Song, Jie Wu ...

Series series Springer Nature Proceedings excluding Computer Science
This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the ... Leer más

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This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the
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eBooks de Análisis funcional

Geometric Aspects of Functional Analysis

Attractors, Shadowing, and Approximation of Abstract Semilinear Differential Equations

Orthogonal Functions

Functions of Omega-Bounded Type

Geometry and Martingales in Banach Spaces

A Mathematical Introduction to Compressive Sensing

Fundamental Solutions of Linear Partial Differential Operators

From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory

Day Trade Your Way to Success

Exercises in Analysis

Applied Analysis in Biological and Physical Sciences

Analysis

Operator Approximant Problems Arising from Quantum Theory

Il libro di matematica: volume 1

Lectures on Convex Geometry

Selected Topics on Generalized Integration

From Particle Systems to Partial Differential Equations

Analytic Methods of Spectral Representations of Non-Selfadjoint (Non-Unitary) Operators

Spectral Theory and Quantum Mechanics

Algebraic Topology and Related Topics