Functional analysis and transforms

This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students.

This book contains the latest advances in variational analysis and set / vector optimization, including uncertain optimization, optimal control and bilevel optimization.

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The notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S.

This essentially self-contained, deliberately compact, and user-friendly textbook is designed for a first, one-semester course in statistical signal analysis for a broad audience of students in engineering and the physical sciences.

Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty.

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

Modern text examining the interplay between measure theory and Fourier analysis.

The concept of "e;reformulation"e; has long been playing an important role in mathematical programming.

Probability limit theorems in infinite-dimensional spaces give conditions un- der which convergence holds uniformly over an infinite class of sets or functions.

Currently, the techniques of operation research are widely used in every aspect of day-to-day life.

Geometric Function Theory is a central part of Complex Analysis (one complex variable).

Fundamentals of Mathematical Analysis explores real and functional analysis with a substantial component on topology.

The contributions contained in the volume, written by leading experts in their respective fields, are expanded versions of talks given at the INDAM Workshop "e;Anomalies in Partial Differential Equations"e; held in September 2019 at the Istituto Nazionale di Alta Matematica, Dipartimento di Matematica "e;Guido Castelnuovo"e;, Universita di Roma "e;La Sapienza"e;.

Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics.

This book explains many fundamental ideas on the theory of distributions.

This book provides an introduction to discrete harmonic analysis (DHA) with a view towards applications to digital signal processing.

The 7th International Workshop in Analysis and its Applications (IWAA) was held at the University of Maine, June 1-6, 1997 and featured approxi- mately 60 mathematicians.

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Many nonlinear problems in physics, engineering, biology and social sciences can be reduced to finding critical points of functionals.

Double Sequence Spaces and Four-Dimensional Matrices provides readers with a clear introduction to the spaces of double sequences and series, as well as their properties.

Recently there has been intense research activity on the subject of wavelet and subband theory.

This book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces.

Now in new trade paper editions, these classic biographies of two of the greatest 20th Century mathematicians are being released under the Copernicus imprint.

This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century.

This textbook presents the spectral theory of self-adjoint operators on Hilbert space and its applications in quantum mechanics.

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.

This book presents a printed testimony for the fact that George Andrews, one of the world's leading experts in partitions and q-series for the last several decades, has passed the milestone age of 80.

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

Originally published in 1999, Wavelets Made Easy offers a lucid and concise explanation of mathematical wavelets.

The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis.

The book contains the methods and bases of functional analysis that are directly adjacent to the problems of numerical mathematics and its applications; they are what one needs for the understand- ing from a general viewpoint of ideas and methods of computational mathematics and of optimization problems for numerical algorithms.

The present book develops the mathematical and numerical analysis of linear, elliptic and parabolic partial differential equations (PDEs) with coefficients whose logarithms are modelled as Gaussian random fields (GRFs), in polygonal and polyhedral physical domains.

This book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician.

Many problems in science and engineering involve the solution of differential equations or systems.

This book describes the direct and inverse problems of the multidimensional Schrodinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues.

Applied Dimensional Analysis and Modeling provides the full mathematical background and step-by-step procedures for employing dimensional analyses, along with a wide range of applications to problems in engineering and applied science, such as fluid dynamics, heat flow, electromagnetics, astronomy and economics.

The topic of this book is the theory of state spaces of operator algebras and their geometry.

Functional Analysis for the Applied Mathematician is a self-contained volume providing a rigorous introduction to functional analysis and its applications.

Wavelets from a Statistical Perspective offers a modern, 2nd generation look on wavelets, far beyond the rigid setting of the equispaced, dyadic wavelets in the early days.

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.

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.

Second Order Differential Equations presents a classical piece of theory concerning hypergeometric special functions as solutions of second-order linear differential equations.

Differential forms satisfying the A-harmonic equations have found wide applications in fields such as general relativity, theory of elasticity, quasiconformal analysis, differential geometry, and nonlinear differential equations in domains on manifolds.