Functional analysis and transforms

The fascinating correspondence between Paul Levy and Maurice Frechet spans an extremely active period in French mathematics during the twentieth century.

This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety of topics which are not usually found in introductory textbooks, including: * limit theorems for sums of random variables* martingales* percolation* Markov chains and electrical networks* construction of stochastic processes* Poisson point process and infinite divisibility* large deviation principles and statistical physics* Brownian motion* stochastic integral and stochastic differential equations.

Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra system Maple(TM).

The featured review of the AMS describes the author's earlier work in the field of approach spaces as, 'A landmark in the history of general topology'.

This volume is the result of two international workshops; Infinite Analysis 11 - Frontier of Integrability - held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems and Representations held at Universite Claude Bernard Lyon 1, France in December 13th to 16th, 2011.

Functional analysis owes much of its early impetus to problems that arise in the calculus of variations.

It is commonly believed that chaos is linked to non-linearity, however many (even quite natural) linear dynamical systems exhibit chaotic behavior.

This book has been primarily written for the student of mathematics who is in the second year or the early part of the third year of an undergraduate course.

Many problems in operator theory lead to the consideration ofoperator equa- tions, either directly or via some reformulation.

This book is a tribute to the achievements of Ilya Spitkovsky in operator theory, pseudo-differential and integral equations, factorization theory and many other related topics.

This volume, which is dedicated to Yuri Karlovich on the occasion of his 75th birthday, includes biographical material, personal reminiscences, and carefully selected papers.

This book is a tribute to the achievements of Ilya Spitkovsky in operator theory, pseudo-differential and integral equations, factorization theory and many other related topics.

The Virasoro algebra is an infinite dimensional Lie algebra that plays an increasingly important role in mathematics and theoretical physics.

This book offers a modern way of dealing with the problems of equilibrium states of Bose systems.

Examples and Theorems in Analysis takes a unique and very practical approach to mathematical analysis.

A Concise Approach to Mathematical Analysis introduces the undergraduate student to the more abstract concepts of advanced calculus.

This textbook is for those who want to learn linear algebra from the basics.

This volume, which is dedicated to Yuri Karlovich on the occasion of his 75th birthday, includes biographical material, personal reminiscences, and carefully selected papers.

This book concentrates on the famous Grothendieck inequality and the continued search for the still unknown best possible value of the real and complex Grothendieck constant (an open problem since 1953).

This book, the second of two volumes, presents significant applications for understanding modern analysis.

The focus of this book is on providing students with insights into geometry that can help them understand deep learning from a unified perspective.

In this book, the optimal transportation problem (OT) is described as a variational problem for absolutely continuous stochastic processes with fixed initial and terminal distributions.

This is a self-contained textbook of the theory of Besov spaces and Triebel-Lizorkin spaces oriented toward applications to partial differential equations and problems of harmonic analysis.

This book contains original research papers presented at the International Conference on Mathematical Modelling, Applied Analysis and Computation, held at JECRC University, Jaipur, India, on 6-8 July, 2018.

This second volume continues the study on asymptotic convergence of global solutions of parabolic equations to stationary solutions by utilizing the theory of abstract parabolic evolution equations and the Lojasiewicz-Simon gradient inequality.

The book captures a fascinating snapshot of the current state of results about the operator-norm convergent Trotter-Kato Product Formulae on Hilbert and Banach spaces.

This book provides theories on non-parametric shape optimization problems, systematically keeping in mind readers with an engineering background.

The present book deals with a streamlined presentation of Levy processes and their densities.

Introduction to Special Functions for Applied Mathematics introduces readers to the topic of special functions, with a particular focus on applications.

This book discusses how relativistic quantum field theories must transform under strongly continuous unitary representations of the Poincare group.

This book features a thoughtfully curated collection of research contributions spanning regularization theory, integral equations, learning theory, and matrix and operator theory.

This book features a thoughtfully curated collection of research contributions spanning regularization theory, integral equations, learning theory, and matrix and operator theory.

This book delves into the topics of fixed-point theory as applied to block operator matrices within the context of Banach algebras featuring multi-valued inputs.

This book is concerned with the theory of model representations of linear non-selfadjoint and non-unitary operators.

This book delves into the topics of fixed-point theory as applied to block operator matrices within the context of Banach algebras featuring multi-valued inputs.

This book is concerned with the theory of model representations of linear non-selfadjoint and non-unitary operators.

This book presents original research on the theory of positive operators, alongside fixed-point theorems and their diverse applications.

This book presents original research on the theory of positive operators, alongside fixed-point theorems and their diverse applications.

This book offers a comprehensive introduction to various aspects of functional analysis and operator algebras.

This book offers a comprehensive introduction to various aspects of functional analysis and operator algebras.

There has been a lot of innovation in systems engineering and some fundamental advances in the fields of optics, imaging, lasers, and photonics that warrant attention.