Functional analysis and transforms

This book traces the history of approximation theory from Leonhard Euler's cartographic investigations at the end of the 18th century to the early 20th century work of Sergei Bernstein defining a new branch of function theory.

Homogenization is a method for modeling processes in microinhomogeneous media, which are encountered in radiophysics, filtration theory, rheology, elasticity theory, and other domains of mechanics, physics, and technology.

This book gives an elementary introduction to a classical area of mathemat- ics - approximation theory - in a way that naturally leads to the modern field of wavelets.

Themainobjectiveofthisbookistogiveacollectionofcriteriaavailablein the spectral theory of selfadjoint operators, and to identify the spectrum and its components in the Lebesgue decomposition.

Advanced Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established.

Basic Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established.

Differential geometry techniques have very useful and important applications in partial differential equations and quantum mechanics.

Developed in this book are several deep connections between time-frequency (Fourier/Gabor) analysis and time-scale (wavelet) analysis, emphasizing the powerful adaptive methods that emerge when separate techniques from each area are properly assembled in a larger context.

The fascinating ?

This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions.

This volume provides readers with a detailed introduction to the amenability of Banach algebras and locally compact groups.

The Analyst's Gambit: A Second Course in Functional Analysis is a textbook written to serve a graduate course in Functional Analysis.

Over the course of a scientific career spanning more than fifty years, Alex Grossmann (1930-2019) made many important contributions to a wide range of areas including, among others, mathematics, numerical analysis, physics, genetics, and biology.

In this volume we will present some applications of special functions in computer science.

Over the course of a scientific career spanning more than fifty years, Alex Grossmann (1930-2019) made many important contributions to a wide range of areas including, among others, mathematics, numerical analysis, physics, genetics, and biology.

Accessible monograph exploring what it means for a set to be ''finite-dimensional'' and applying the abstract theory to attractors.

An introduction to the analytic theory of automorphic forms in the case of fuchsian groups.

This book is aimed at graduate students and researchers who have some knowledge of subharmonic functions, or an interest in holomorphic approximation.

This book provides, for the first time, a clear and unified exposition of the main techniques and results in operator algebras.

This book gives an introduction to biotransformations, the practice of harnessing biological catalysts for the preparation of useful chemicals.

Tutorial survey papers on important areas of ergodic theory, with related research papers.

A technique used in the theory of partial differential equations with applications to quantum mechanics.

This book takes advanced graduate students from the foundations to topics on the research frontier.

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

A comprehensive overview of modern Banach space theory.

The lectures in this 2005 book are intended to bring young researchers to the current frontier of knowledge in geometrical mechanics and dynamical systems.

Everything that you ever wanted to know about pathological Banach spaces.

These notes give an introduction to subfactors suitable for newcomers to the field.

A full exposition of the classical theory of spherical harmonics and their use in proving stability results.

This book looks at the theories of Volterra integral and functional equations.

The only introduction to wavelets that doesn''t avoid the tough mathematical questions.

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

A comprehensive, self-contained treatment of non-Archimedean functional analysis, with an emphasis on locally convex space theory.

A 2003 textbook on Fourier and Laplace transforms for undergraduate and graduate students.

The first book to assemble the wide body of theory which has rapidly developed on the dynamics of linear operators.

Authoritative text presenting a broad view of the spectral theory of non-self-adjoint linear operators.

The powerful tool of functional integration is widely applied and shown to be user-friendly and mathematically robust.

This book is an extensive introductory text to mathematical analysis for graduate students and advanced undergraduates, complete with 500 exercises and numerous examples.

This book presents an introduction to the common ground between operator theory and linear systems theory.

This text was the first book on the Lévy Laplacian that generalized classical work and could be widely applied.

This text is designed both for students of probability and stochastic processes, and for students of functional analysis.

This is a short course on Banach space theory applicable to many contemporary research arenas.

Introduction to important topics in functional analysis from leading researchers.

An introduction to the theory of operator spaces, emphasising applications to C*-algebras.

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

Intended to facilitate the use and calculation of spheroidal wave functions, this applications-oriented text features a detailed and unified account of the properties of these functions.

This classic work explains the theory and formulas behind Dirichlet's series and offers the first systematic account of Riesz's theory of the summation of series by typical means.

A pioneer of many modern developments in approximation theory, N.

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.

A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory.