Functional analysis and transforms

This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras.

The author approaches an old classic problem - the existence of solutions of Navier-Stokes equations.

This book sketches a path for newcomers into the theory of harmonic analysis on the real line.

Introduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.

This proceedings volume features selected contributions from the conference Positivity X.

A careful exposition of the most fundamental questions in the theory of nonlinear Markov processes.

This monograph is devoted to covering the main results in the qualitative theory of symplectic difference systems, including linear Hamiltonian difference systems and Sturm-Liouville difference equations, with the emphasis on the oscillation and spectral theory.

This Second Edition presents and details the process of quantization of a classical mechanical system in a relevant physical system, the harmonic oscillator.

globalized Fejer's theorem; he showed that the Fourier series for any f E Ld-7I"e;, 7I"e;] converges (C, 1) to f (t) a.

Dirac operators play an important role in several domains of mathematics and physics, for example: index theory, elliptic pseudodifferential operators, electromagnetism, particle physics, and the representation theory of Lie groups.

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.

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.

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.

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.

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

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.

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.