Functional analysis and transforms

This book represents the first attempt at a unified picture for the pres- ence of the Gibbs (or Gibbs-Wilbraham) phenomenon in applications, its analysis and the different methods of filtering it out.

This volume provides a comprehensive review of multiple-scale dynamical systems.

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983).

The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scienti?

The book is designed to serve as a textbook for courses offered to undergraduate and graduate students enrolled in Electrical Engineering.

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This book collects the abstracts of  the mini-courses and lectures given during the Intensive Research Program "e;Spaces of Analytic Functions: Approximation, Interpolation, Sampling"e; which was held at the Centre de Recerca Matematica (Barcelona) in October-December, 2019.

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

The first international conference on Probability in Banach Spaces was held at Oberwolfach, West Germany, in 1975.

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

The goal of this work is to present the principles of functional analysis in a clear and concise way.

This textbook provides an elementary introduction to hypergeometric functions, which generalize the usual elementary functions.

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

The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scientific communities with significant developments in harmonic analysis, ranging from abstract har- monic analysis to basic applications.

The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects.

Convex functions play an important role in almost all branches of mathematics as well as other areas of science and engineering.

This book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets; and to their interplay and applications.

Pseudodifferential methods are central to the study of partial differential equations, because they permit an "e;algebraization.

The great mathematician G.

A comprehensive bibliography rounds off what will prove a very valuable work.

This is a revised and extended version of my 1995 elementary introduction to partial di?

A comprehensive overview of modern Banach space theory.

Functional Analysis: Surveys and Recent Results

This book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University.

This book is intended to serve as introductory and reference material for the application of integral transforms to a range of common mathematical problems.

Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations.

This textbook for courses on function data analysis and shape data analysis describes how to define, compare, and mathematically represent shapes, with a focus on statistical modeling and inference.

The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years.

The field of elliptic functions, apart from its own mathematical beauty, has many applications in physics in a variety of topics, such as string theory or integrable systems.

This book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets; and to their interplay and applications.

This book deals with nonsmooth structures arising within the optimization setting.

Operator Methods in Quantum Mechanics demonstrates the power of operator theory as a tool in the study of quantum mechanics.

This book is devoted to the qualitative theory of functional dynamic equations on time scales, providing an overview of recent developments in the field as well as a foundation to time scales, dynamic systems, and functional dynamic equations.

The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H.

This book provides an introduction to the theory and applications of point processes, both in time and in space.

This textbook is a thorough, accessible introduction to advanced digital Fourier analysis for advanced students.

This advanced undergraduate/beginning graduate text covers measure theory and discrete aspects of functional analysis, with 760 exercises.

Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements introduces new areas in operator theory and operator algebra, in connection with free probability theory.

Confusing Textbooks?

A cohesive and exhaustive account of the modern theory of iterative functional equations.

Over the past six decades, several extremely important fields in mathematics have been developed.

A friendly introduction to Fourier analysis on finite groups, accessible to undergraduates/graduates in mathematics, engineering and the physical sciences.

One of the fundamental questions of Banach space theory is whether every Banach space has a basis.

This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields.

This proceedings volume gathers peer-reviewed, selected papers presented at the "e;Mathematical and Numerical Approaches for Multi-Wave Inverse Problems"e; conference at the Centre Internacional de Rencontres Mathematiques (CIRM) in Marseille, France, in April 2019.

This book offers an introduction to a classical problem in ergodic theory and smooth dynamics, namely, the Kolmogorov-Bernoulli (non)equivalence problem, and presents recent results in this field.

This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimension.

Abstract models for many problems in science and engineering take the form of an operator equation.