Functional analysis and transforms

Wavelet Analysis: Basic Concepts and Applications provides a basic and self-contained introduction to the ideas underpinning wavelet theory and its diverse applications.

This book lays emphasis on the synthesis of modern and classical analysis at the current frontiers of knowledge.

In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus.

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

Presents the classical theory of convergence of semigroups and looks at how it applies to real-world phenomena.

This book provides a valuable collection of contributions by distinguished scholars presenting the state of the art and some of the most significant latest developments and future challenges in the field of dispersive partial differential equations.

The axioms of a complex Banach algebra were very happily chosen.

A four-day conference, "e;Functional Analysis on the Eve of the Twenty- First Century,"e; was held at Rutgers University, New Brunswick, New Jersey, from October 24 to 27, 1993, in honor of the eightieth birthday of Professor Israel Moiseyevich Gelfand.

The author of this book made an attempt to create the general theory of optimization of linear systems (both distributed and lumped) with a singular control.

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

This book presents contributions of international and local experts from the African Institute for Mathematical Sciences (AIMS-Cameroon) and also from other local universities in the domain of orthogonal polynomials and applications.

A large mathematical community throughout the world actively works in functional analysis and uses profound techniques from topology.

This book contains contributions from the participants of the research group hosted by the ZiF - Center for Interdisciplinary Research at the University of Bielefeld during the period 2013-2017 as well as from the conclusive conference organized at Bielefeld in December 2017.

This textbook offers a comprehensive exploration of functional analysis, covering a wide range of topics.

A unique synthesis of the three existing Fourier-analytic treatments of quadratic reciprocity.

This textbook introduces some basic tools from the theory of monotone operators together with some of their applications.

This book presents a new theory for evolution operators and a new method for defining fractional powers of vector operators.

This advanced graduate textbook presents main results and techniques in Functional Analysis and uses them to explore other areas of mathematics and applications.

The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics.

The theory of elliptic boundary problems is fundamental in analysis and the role of spaces of weakly differentiable functions (also called Sobolev spaces) is essential in this theory as a tool for analysing the regularity of the solutions.

A selection of survey articles and original research papers in mathematical fluid mechanics, for both researchers and graduate students.

This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry.

Variational and boundary integral equation techniques are two of the most useful methods for solving time-dependent problems described by systems of equations of the form 2 ?

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

This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.

This book provides readers with an engaging explanation of the Aleksandrov problem, giving readers an overview of the process of solving Aleksandrov-Rassias problems, which are still actively studied by many mathematicians, and familiarizing readers with the details of the proof process.

This collection consists of selected scientific results stemming from the conference "e;Methusalem Workshop on Classical Analysis and PDEs"e;, held at the Ghent University from 27th February 2023 to 1st March 2023.

Inverse problems lie at the core of scientific discovery, enabling us to determine causes from observed consequences.

This monograph serves as a much-needed, self-contained reference on the topic of modulation spaces.

Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more.

Previous publications on the generalization of the Thomae formulae to Zn curves have emphasized the theory's implications in mathematical physics and depended heavily on applied mathematical techniques.

This second volume of a two-volume overview focuses on the applications of Banach spaces and recent developments in the field.

The new and revised version of this comprehensive pocket reference guide is ideal for anyone who deals with physics, chemistry, mathematics, finance, and computer systems and needs to review or quickly refresh their memory of what they studied in school.

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.

A stimulating introductory text, this volume examines many important applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation.

This book evolved from a one-year sequence of courses offered by the authors at Iowa State University.

This book presents a systematic treatment of the Rademacher system, one of the most important unifying concepts in mathematics, and includes a number of recent important and beautiful results related to the Rademacher functions.

The purpose of this monograph is to provide a systematic account of the theory of noncommutative integration in semi-finite von Neumann algebras.

The main goal of this book is to describe various aspects of the theory of joint spectra for matrices and linear operators.

Understanding special sets of integers was classically of interest to Hadamard, Zygmund and others, and continues to be of interest today.

This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics.

Through four editions this popular textbook attracted a loyal readership and widespread use.

Suitable for advanced undergraduates and graduate students, this was the first English-language text to offer detailed coverage of boundedness, stability, and asymptotic behavior of linear and nonlinear differential equations.

Hyers-Ulam Stability of Ordinary Differential Equations undertakes an interdisciplinary, integrative overview of a kind of stability problem unlike the existing so called stability problem for Differential equations and Difference Equations.