Functional Analysis category: 386 books

Cover of Functional Equations on Groups
by Henrik Stetkær
Language: English
Release Date: July 15, 2013

This volume provides an accessible and coherent introduction to some of the scientific progress on functional equations on groups in the last two decades. It presents the latest methods of treating the topic and contains new and transparent proofs. Its scope extends from the classical functional equations...
Cover of Abstract Duality Pairs in Analysis
by Charles Swartz
Language: English
Release Date: December 20, 2017

The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable...
Cover of Wavelets in Functional Data Analysis
by Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic
Language: English
Release Date: November 7, 2017

Wavelet-based procedures are key in many areas of statistics, applied mathematics, engineering, and science. This book presents wavelets in functional data analysis, offering a glimpse of problems in which they can be applied, including tumor analysis, functional magnetic resonance and meteorological...
Cover of Measure Theory and Functional Analysis
by Nik Weaver
Language: English
Release Date: July 23, 2013

This book provides an introduction to measure theory and functional analysis suitable for a beginning graduate course, and is based on notes the author had developed over several years of teaching such a course. It is unique in placing special emphasis on the separable setting, which allows for a...
Cover of Functional Analysis and its Applications

Functional Analysis and its Applications

Proceedings of the International Conference on Functional Analysis and its Applications dedicated to the 110th Anniversary of Stefan Banach, May 28-31, 2002, Lviv, Ukraine

by Vladimir Kadets, Wieslaw Tadeusz Zelazko
Language: English
Release Date: July 31, 2004

The conference took place in Lviv, Ukraine and was dedicated to a famous Polish mathematician Stefan Banach ƒ{ the most outstanding representative of the Lviv mathematical school. Banach spaces, introduced by Stefan Banach at the beginning of twentieth century, are familiar now to every mathematician....
Cover of Descriptive Topology and Functional Analysis II

Descriptive Topology and Functional Analysis II

In Honour of Manuel López-Pellicer Mathematical Work, Elche, Spain, June 7–8, 2018

by
Language: English
Release Date: June 2, 2019

This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel López-Pellicer's mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy topology, differentiability...
Cover of Basic Methods of Linear Functional Analysis
by John D. Pryce
Language: English
Release Date: May 5, 2014

An introduction to the themes of mathematical analysis, this text is geared toward advanced undergraduate and graduate students. It assumes a familiarity with basic real analysis, metric space theory, linear algebra, and minimal knowledge of measures and Lebesgue integration, all of which are surveyed...
Cover of Elementary Functional Analysis
by Georgi E. Shilov
Language: English
Release Date: April 15, 2013

In this introductory work on mathematical analysis, the noted mathematician Georgi E. Shilov begins with an extensive and important chapter on the basic structures of mathematical analysis: linear spaces, metric spaces, normed linear spaces, Hilbert spaces, and normed algebras. The standard models...
Cover of Singular Bilinear Integrals
by Brian Jefferies
Language: English
Release Date: January 18, 2017

The integration of vector valued functions with respect to vector valued measures, especially spectral measures, is developed in view of applications in operator theory, scattering theory and semiclassical approximation in quantum physics. New techniques are developed for bilinear integration in cases...
Cover of Functional Analysis and Applied Optimization in Banach Spaces

Functional Analysis and Applied Optimization in Banach Spaces

Applications to Non-Convex Variational Models

by Fabio Botelho
Language: English
Release Date: June 12, 2014

​This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physics and engineering problems. The book includes introductory and advanced...
Cover of Semigroups, Boundary Value Problems and Markov Processes
by Kazuaki Taira
Language: English
Release Date: August 7, 2014

A careful and accessible exposition of functional analytic methods in stochastic analysis is provided in this book. It focuses on the interrelationship between three subjects in analysis: Markov processes, semi groups and elliptic boundary value problems. The author studies a general class of elliptic...
Cover of Geometric Aspects of Functional Analysis

Geometric Aspects of Functional Analysis

Israel Seminar 2006–2010

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Language: English
Release Date: July 25, 2012

This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of Asymptotic Geometric Analysis, understood in a broad sense, and...
Cover of Banach Space Theory

Banach Space Theory

The Basis for Linear and Nonlinear Analysis

by Marián Fabian, Petr Habala, Petr Hájek
Language: English
Release Date: February 4, 2011

Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory....
Cover of Applications of Nonlinear Analysis
by
Language: English
Release Date: June 29, 2018

New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus...
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