Functional analysis and transforms

Sobolev spaces become the established and universal language of partial differential equations and mathematical analysis.

Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics.

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

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?

In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied mathematics.

This is the second of approximately four volumes that the authors plan to write in their examination of all the claims made by S.

This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to the study of some problems considered in nonlinear analysis, in geometry, and in applied mathematics.

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

Set-valued analysis is an essential tool for the mathematical formulation of many real-life situations, e.

Banach algebras are Banach spaces equipped with a continuous multipli- tion.

Recent results in local convergence and semi-local convergence analysis constitute a natural framework for the theoretical study of iterative methods.

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

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.

"e;This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so.

The great mathematician G.

ThetheoryofstronglycontinuoussemigroupsoflinearoperatorsonBanach spaces, operator semigroups for short, has become an indispensable tool in a great number of areas of modern mathematical analysis.

Complementarity theory, a relatively new domain in applied mathematics, has deep connections with several aspects of fundamental mathematics and also has many applications in optimization, economics and engineering.

Since the birth of the calculus of variations, researchers have discovered that variational methods, when they apply, can obtain better results than most other methods.

S.

This book deals mainly with the study of convex functions and their behavior from the point of view of stability with respect to perturbations.

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

Undergraduate courses in mathematics are colnmonly of two types.

Undergraduate courses in mathematics are commonly of two types.

Number Theory: Tradition and Modernization is a collection of survey and research papers on various topics in number theory.

Lie groups has been an increasing area of focus and rich research since the middle of the 20th century.

This work covers two bases, both performance optimization strategies and a complete introduction to mathematical procedures required for a successful circuit design.

The second part of the book concludes with Plancherel's theorem in Chapter 8.

This book grew out of a one-semester course given by the second author in 2001 and a subsequent two-semester course in 2004-2005, both at the University of Missouri-Columbia.

In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.

This book is a revised and expanded edition of a successful graduate and reference text.

Since the publication of our first book [80], there has been a real resiu-gence of interest in the study of almost automorphic functions and their applications ([16, 17, 28, 29, 30, 31, 32, 40, 41, 42, 46, 51, 58, 74, 75, 77, 78, 79]).

Intuitive Probability and Random Processes using MATLAB(R) is an introduction to probability and random processes that merges theory with practice.

This volume, "e;Theory and Applications of Special Functions,"e; is d- icated to Mizan Rahman in honoring him for the many important c- tributions to the theory of special functions that he has made over the years, and still continues to make.

What's in a name?

This book is related to the theory of functions of a-bounded type in the ha- plane of the complex plane.

The aim of this monograph is to describe the main concepts and recent - vances in multiscale ?

The great response to the publication of the book Classical and Modern Fourier Analysishasbeenverygratifying.

The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis.

The aim of this monograph is to give a unified account of the classical topics in fixed point theory that lie on the border-line of topology and non- linear functional analysis, emphasizing developments related to the Leray- Schauder theory.

TheclassicaltheoryofFourierseriesandintegrals,aswellasLaplacetra- forms, is of great importance for physical and technical applications, and its mathematical beauty makes it an interesting study for pure mathema- cians as well.

This book presents the basic tools of modern analysis within the context of what might be called the fundamental problem of operator theory: to calculate spectra of specific operators on infinite-dimensional spaces, especially operators on Hilbert spaces.