Functional analysis and transforms

This book provides a complete and exhaustive study of the Green's functions.

This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study.

This textbook is a thorough, accessible introduction to digital Fourier analysis for undergraduate students in the sciences.

Lectori salutem!

This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis.

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Inverse scattering theory is an important area of applied mathematics due to its central role in such areas as medical imaging , nondestructive testing and geophysical exploration.

This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincare upper half plane.

This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties.

The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics.

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

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

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In the last decade, the areas of quadratic and higher degree forms have witnessed dramatic advances.

Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A.

Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians.

Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity.

This monograph records progress in approximation theory and harmonic analysis on balls and spheres, and presents contemporary material that will be useful to analysts in this area.

This book features challenging problems of classical analysis that invite the reader to explore a host of strategies and tools used for solving problems of modern topics in real analysis.

The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations.

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

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

Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis.

This work describes the propagation properties of the so-called symmetric interior penalty discontinuous Galerkin (SIPG) approximations of the 1-d wave equation.

This book offers a brief, practically complete, and relatively simple introduction to functional analysis.

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Understanding special sets of integers was classically of interest to Hadamard, Zygmund and others, and continues to be of interest today.

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Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions.

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This book introduces the reader the theory of nonlinear inclusions and hemivariational inequalities with emphasis on the study of contact mechanics.

The author's approach is one of continuum models of the aerodynamic flow interacting with a flexible structure whose behavior is governed by partial differential equations.

This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level.

This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations.

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Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.

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

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

This book presents the application of some AI related optimization techniques in the operation and control of electric power systems.

Degenerate and singular parabolic equations have been the subject of extensive research for the last 25 years.

The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory.

"e;Descriptive Topology in Selected Topics of Functional Analysis"e; is a collection of recent developments in the field of descriptive topology, specifically focused on the classes of infinite-dimensional topological vector spaces that appear in functional analysis.

The main aim of this book is to present recent results concerning inequalities of the Jensen, Cebysev and Gruss type for continuous functions of bounded selfadjoint operators on complex Hilbert spaces.

The stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S.

Partitions, q-Series, and Modular Forms contains a collection of research and survey papers that grew out of a Conference on Partitions, q-Series and Modular Forms at the University of Florida, Gainesville in March 2008.

Although the monograph Progress in Optimization I: Contributions from Aus- tralasia grew from the idea of publishing a proceedings of the Fourth Optimiza- tion Day, held in July 1997 at the Royal Melbourne Institute of Technology, the focus soon changed to a refereed volume in optimization.

Many problems arising in the physical sciences, engineering, biology and ap- plied mathematics lead to mathematical models described by nonlinear integral equations in abstract spaces.