Functional analysis and transforms

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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.

There is almost no field in Mathematics which does not use Mathe- matical Analysis.

The present lectures intend to provide an introduction to the spectral analysis of self-adjoint operators within the framework of Hilbert space theory.

rii application of linear operators on a Hilbert space.

This book was written expressly to serve as a textbook for a one- or two-semester introductory graduate course in functional analysis.

This book is the Proceedings of the Second ISAAC Congress.

These are the proceedings of the conference "e;Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics"e; held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, 1999.

Since the seminal work of P.

Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practioners and researchers.

Overview For over a decade now, wavelets have been and continue to be an evolving subject of intense interest.

This book considers methods of approximate analysis of mechanical, elec- tromechanical, and other systems described by ordinary differential equa- tions.

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.

A four-day conference, "e;Functional Analysis on the Eve of the Twenty- First Century,"e; was held at Rutgers University, New Brunswick, New Jersey, from October 24 to 27, 1993, in honor of the eightieth birthday of Professor Israel Moiseyevich Gelfand.

These volumes are companions to the treatise; "e;Fundamentals of the Theory of Operator Algebras,"e; which appeared as Volume 100 - I and II in the series, Pure and Applied Mathematics, published by Academic Press in 1983 and 1986, respectively.

A four-day conference, "e;Functional Analysis on the Eve of the Twenty- First Century,"e; was held at Rutgers University, New Brunswick, New Jersey, from October 24 to 27, 1993, in honor of the eightieth birthday of Professor Israel Moiseyevich Gelfand.

Pierre Grisvard, one of the most distinguished French mathematicians, died on April 22, 1994.

The concept of conditional specification is not new.

These volumes are companions to the treatise; "e;Fundamentals of the Theory of Operator Algebras,"e; which appeared as Volume 100 - I and II in the series, Pure and Applied Mathematics, published by Academic Press in 1983 and 1986, respectively.

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.

The main goal of this work is to revisit the proof of the global stability of Minkowski space by D.

This is a problem book on Hilbert space operators (Le.

Analysis on Lie Groups with Polynomial Growth is the first book to present a method for examining the surprising connection between invariant differential operators and almost periodic operators on a suitable nilpotent Lie group.

We deal in this work with quantitative results in the pointwise approximation of func- tions by positive linear functionals and operators.

As in the case of the two previous volumes published in 1986 and 1997, the purpose of this monograph is to focus the interplay between real (functional) analysis and stochastic analysis show their mutual benefits and advance the subjects.