Functional analysis and transforms

This is an essentially self-contained book on the theory of convex functions and convex optimization in Banach spaces, with a special interest in Orlicz spaces.

In a certain sense characteristic functions and correlation functions are the same, the common underlying concept is positive definiteness.

This book is intended as an introduction to harmonic analysis and generalized Gelfand pairs.

This textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering.

Sound is almost always around us, anywhere, at any time, reaching our ears and stimulating our brains for better or worse.

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This book, written by two experts in the field, deals with classes of iterative methods for the approximate solution of fixed points equations for operators satisfying a special contractivity condition, the Fejer property.

The authors present functional analytical methods for solving a class of partial differential equations.

This monograph presents the state of the art of convexity, with an emphasis to integral representation.

In 1903 Fredholm published his famous paper on integral equations.

For many years, digital signal processing has been governed by the theory of Fourier transform and its numerical implementation.

This volume contains 16 refereed research articles on function spaces, interpolation theory and related fields.

This book aims to establish a systematic theory on the synchronization for wave equations with locally distributed controls.

These Proceedings form a record of the lectures presented at the interna- tional Conference on Functional Analysis and Approximation held at the Ober- wolfach Mathematical Research Institute, August 9-16, 1980.

In this treatise we present the semigroup approach to quasilinear evolution equa- of parabolic type that has been developed over the last ten years, approxi- tions mately.

Series of scalars, vectors, or functions are among the fundamental objects of mathematical analysis.

Incomplete second order linear differential equations in Banach spaces as well as first order equations have become a classical part of functional analysis.

"e;Functional Analysis"e; is a comprehensive, 2-volume treatment of a subject lying at the core of modern analysis and mathematical physics.

This is the sixth published volume of the Israel Seminar on Geometric Aspects of Functional Analysis.

Functional Analysis is a comprehensive, 2-volume treatment of a subject lying at the core of modern analysis and mathemati- cal physics.

In this book we shall study linear functional equations of the form m bu(x) == Lak(X)U(Qk(X)) = f(x), (1) k=l where U is an unknown function from a given space F(X) of functions on a set X, Qk: X -+ X are given mappings, ak and f are given functions.

Award-winning monograph of the Ferran Sunyer i Balaguer Prize 1997.

This and the previous volume of the OT series contain the proceedings of the Workshop on Operator Theory and its Applications, IWOTA 95, which was held at the University of Regensburg, Germany, July 31 to August 4, 1995.

This volume presents the refereed proceedings of the Conference in Operator The- ory in Honour of Moshe Livsic 80th Birthday, held June 29 to July 4, 1997, at the Ben-Gurion University of the Negev (Beer-Sheva, Israel) and at the Weizmann In- stitute of Science (Rehovot, Israel).

This volume contains the Proceedings of the International Workshop Variational Methods For Discontinuous Structures, which was jointly organized by the Dipar- timento di Matematica Francesco Brioschi of Milano Politecnico and the Interna- tional School for Advanced Studies (SISSA) of Trieste.

Partial differential equations constitute an integral part of mathematics.

Many problems of the engineering sciences, physics, and mathematics lead to con- volution equations and their various modifications.

This volume contains research articles from the field of Nonlinear Differential Equa- tions which result from the "e;Workshop on Nonlinear Analysis and Applications"e; held in Bergamo on July 9 to 13, 200l.

The aim of the book is to present the state of the art of the theory of symmetric (Hermitian) matrix Riccati equations and to contribute to the development of the theory of non-symmetric Riccati equations as well as to certain classes of coupled and generalized Riccati equations occurring in differential games and stochastic control.

The monograph is devoted to the study of functional equations with the transformed argument on the real line and on the unit circle.

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This volume focuses on recent developments in non-linear and hyperbolic equations.

As mentioned in the Introduction to Volume I, the present monograph is intended both for mathematicians interested in applications of the theory of linear operators and operator-functions to problems of hydrodynamics, and for researchers of applied hydrodynamic problems, who want to study these problems by means of the most recent achievements in operator theory.

These notes are based on lectures given at the University of Virginia over the past twenty years.

A beautiful interplay between probability theory (Markov processes, martingale theory) on the one hand and operator and spectral theory on the other yields a uniform treatment of several kinds of Hamiltonians such as the Laplace operator, relativistic Hamiltonian, Laplace-Beltrami operator, and generators of Ornstein-Uhlenbeck processes.

The goal of this book is to present some modern aspects of nonlinear analysis.

This volume is dedicated to our teacher and friend Hans Triebel.

Over the last years, stochastic analysis has had an enormous progress with the impetus originating from different branches of mathematics: PDE's and the Malliavin calculus, quantum physics, path space analysis on curved manifolds via probabilistic methods, and more.

This volume contains the proceedings of the International Workshop on Operator Theory and Applications held at the University of Algarve in Faro, Portugal, September 12-15, in the year 2000.

In September 2000 a Summer School on "e;Factorization and Integrable Systems"e; was held at the University of Algarve in Portugal.

The present book is an expanded and enriched version ofthe textBasicOperator Theory, written by the first two authors more than twenty years ago.

This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows.

This book presents recent results from the following areas: spectral analysis of one-dimensional Schrodinger and Jacobi operators, discrete WKB analysis of solutions of second order difference equations, and applications of functional models of non-selfadjoint operators.