Functional analysis and transforms

Based on a streamlined presentation of the author's previous work, An Introduction to Frames and Riesz Bases, this new textbook fills a gap in the literature, developing frame theory as part of a dialogue between mathematicians and engineers.

Harmonic analysis is a venerable part of modern mathematics.

I am sure that something must be found.

This textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade.

Fourier analysis has been the inspiration for a technological wave of advances in fields such as imaging processing, financial modeling, algorithms and sequence design.

This book introduces geometric spectral theory in the context of Riemann surfaces.

The purpose of this book is to present typical methods (including rescaling methods) for the examination of the behavior of solutions of nonlinear partial di?

A collection of invited chapters dedicated to Carlos Segovia, this unified and self-contained volume examines recent developments in real and harmonic analysis.

The second in a series of three volumes surveying the theory of theta functions, this volume gives emphasis to the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg-de-Vries equations as well as other non-linear differential equations of mathematical physics.

This volume contains the first two out of four chapters which are intended to survey a large part of the theory of theta functions.

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

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

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

Advances in Discrete Tomography and Its Applications is a unified presentation of new methods, algorithms, and select applications that are the foundations of multidimensional image reconstruction by discrete tomographic methods.

This book is devoted to an exposition of the theory of polynomially convex sets.

One of the most creative mathematicians of our times, Vladimir Drinfeld received the Fields Medal in 1990 for his groundbreaking contributions to the Langlands program and to the theory of quantum groups.

Satellite navigation receivers are used to receive, process, and decode space-based navigation signals, such as those provided by the GPS constellation of satellites.

This book was designed as a text for a ?

One of the fundamental ideas of mathematical analysis is the notion of a function; we use it to describe and study relationships among variable quantities in a system and transformations of a system.

This volume is dedicated to John Benedetto.

This monograph presents a comprehensive treatment of important new ideas on Dirac operators and Dirac cohomology.

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.

The goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Vasteras, Sweden, from September 30th to October 2nd 2019 was to showcase the frontiers of research in several important topics of mathematics, mathematical statistics, and its applications.

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

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.