Functional analysis and transforms

This textbook explores a selection of topics in complex analysis.

This textbook presents a rigorous approach to multivariable calculus in the context of model building and optimization problems.

In recent years there has been a surge of profound new developments in various aspects of analysis whose connecting thread is the use of Banach space methods.

This book is the second of a two volume series.

The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers.

This self-contained monograph unifies theorems, applications and problem solving techniques of matrix inequalities.

Ce livre présente la théorie spectrale des opérateurs auto-adjoints en dimension infinie ainsi que son application à la mécanique quantique.

The purpose of this monograph is to offer an accessible and essentially self-contained presentation of some mathematical aspects of the Feynman path integral in non-relativistic quantum mechanics.

This proceedings volume gathers selected, peer-reviewed papers presented at the 41st International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics (QP41) that was virtually held at the United Arab Emirates University (UAEU) in Al Ain, Abu Dhabi, from March 28th to April 1st, 2021.

The Mathieu series is a functional series introduced by Emile Leonard Mathieu for the purposes of his research on the elasticity of solid bodies.

This mathematical monograph details the authors' results on solutions to problems governing the simultaneous motion of two incompressible fluids.

No detailed description available for "e;Methods for Solving Operator Equations"e;.

This book is the second volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research.

No detailed description available for "e;The Riemann Zeta-Function"e;.

No detailed description available for "e;Harmonic Analysis of Probability Measures on Hypergroups"e;.

The theory of set-valued maps and of differential inclusion is developed in recent years both as a field of his own and as an approach to control theory.

No detailed description available for "e;A Functional Analysis of Present Day English on a General Linguistic Basis"e;.

No detailed description available for "e;Extension of Holomorphic Functions"e;.

While there is a plethora of excellent, but mostly "e;tell-it-all' books on the subject, this one is intended to take a unique place in what today seems to be a still wide open niche for an introductory text on the basics of functional analysis to be taught within the existing constraints of the standard, for the United States, one-semester graduate curriculum (fifteen weeks with two seventy-five-minute lectures per week).

In this textbook, a concise approach to complex analysis of one and several variables is presented.

In this textbook, a concise approach to complex analysis of one and several variables is presented.

This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains.

The first of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields.

This book is about the subject of higher smoothness in separable real Banach spaces.

This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems.

In the past two decades, convex analysis and optimization have been developed in Hadamard spaces.

This research monograph gives a detailed account of a theory which is mainly concerned with certain classes of degenerate differential operators, Markov semigroups and approximation processes.

This book is the first volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research.

The book is the first systematical treatment of the theory of finite elements in Archimedean vector lattices and contains the results known on this topic up to the year 2013.

The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball.

The monograph gives a detailed exposition of the theory of general elliptic operators (scalar and matrix) and elliptic boundary value problems in Hilbert scales of Hormander function spaces.

This research monograph gives a detailed account of a theory which is mainly concerned with certain classes of degenerate differential operators, Markov semigroups and approximation processes.

This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems.

In the past two decades, convex analysis and optimization have been developed in Hadamard spaces.

The monograph gives a detailed exposition of the theory of general elliptic operators (scalar and matrix) and elliptic boundary value problems in Hilbert scales of Hormander function spaces.

In the last 40 years semi-linear elliptic equations became a central subject of study in the theory of nonlinear partial differential equations.

This book deals with analytic treatments of Markov processes.

This monograph gives a systematic presentation of classical and recent results obtained in the last couple of years.

This monograph aims to give a self-contained introduction into the whole field of topological analysis: Requiring essentially only basic knowledge of elementary calculus and linear algebra, it provides all required background from topology, analysis, linear and nonlinear functional analysis, and multivalued maps, containing even basic topics like separation axioms, inverse and implicit function theorems, the Hahn-Banach theorem, Banach manifolds, or the most important concepts of continuity of multivalued maps.

This monograph contains a study on various function classes, a number of new results and new or easy proofs of old results (Fefferman-Stein theorem on subharmonic behavior, theorems on conjugate functions and fractional integration on Bergman spaces, Fefferman's duality theorem), which are interesting for specialists; applications of the Hardy-Littlewood inequalities on Taylor coefficients to (C, a)-maximal theorems and (C, a)-convergence; a study of BMOA, due to Knese, based only on Green's formula; the problem of membership of singular inner functions in Besov and Hardy-Sobolev spaces; a full discussion of g-function (all p > 0) and Calderon's area theorem; a new proof, due to Astala and Koskela, of the Littlewood-Paley inequality for univalent functions; and new results and proofs on Lipschitz spaces, coefficient multipliers and duality, including compact multipliers and multipliers on spaces with non-normal weights.

This book grew out of a course taught in the Department of Mathematics, Indian Institute of Technology, Delhi, which was tailored to the needs of the applied community of mathematicians, engineers, physicists etc.

This book is about the subject of higher smoothness in separable real Banach spaces.

Most classes of operators that are not isomorphic embeddings are characterized by some kind of a "e;smallness"e; condition.

The aim of this monograph is to give a thorough and self-contained account of functions of (generalized) bounded variation, the methods connected with their study, their relations to other important function classes, and their applications to various problems arising in Fourier analysis and nonlinear analysis.

Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems.