Listing 1 - 9 of 9 |
Sort by
|
Choose an application
Delta Functions has now been updated, restructured and modernised into a second edition, to answer specific difficulties typically found by students encountering delta functions for the first time. In particular, the treatment of the Laplace transform has been revised with this in mind. The chapter on Schwartz distributions has been considerably extended and the book is supplemented by a fuller review of Nonstandard Analysis and a survey of alternative infinitesimal treatments of generalised functions.Dealing with a difficult subject in a simple and straightforward way, the text is rea
Choose an application
Explaining and comparing the various standard types of generalised functions which have been developed during the 20th Century, this text also contains accounts of recent non-standard theories of distributions, ultradistributions and Stato-hyperfunctions. The book could readily be used as a main text on generalised functions for mathematical undergraduates in final year analysis courses, as it presupposes little more than a general mathematical background. It also makes a valuable reference text for non-specific applied mathematics students, such as physicists or electrical engineers, needing
Choose an application
Transform Analysis of Generalized Functions concentrates on finite parts of integrals, generalized functions and distributions. It gives a unified treatment of the distributional setting with transform analysis, i.e. Fourier, Laplace, Stieltjes, Mellin, Hankel and Bessel Series.Included are accounts of applications of the theory of integral transforms in a distributional setting to the solution of problems arising in mathematical physics. Information on distributional solutions of differential, partial differential equations and integral equations is conveniently collected here.
Functional analysis --- Theory of distributions (Functional analysis) --- Transformations (Mathematics) --- Theory of distributions (Functional analysis). --- Transformations (Mathematics). --- Algorithms --- Differential invariants --- Geometry, Differential --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions
Choose an application
This volume presents a new mathematical theory of generalized functions, more general than Distribution Theory, giving a rigorous mathematical sense to any product of a finite number of distributions and to heuristic computations of Quantum Field Theory. Although the physical motivations are emphasized, the book is also addressed to mathematicians with no knowledge of physics. This work opens a new domain of research in both pure and applied mathematics.
Theory of distributions (Functional analysis) --- Distributions, Théorie des (Analyse fonctionnelle) --- Functional analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis
Choose an application
The author's previous book `New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced `new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of R&eegr;, of C8 functions of several real variables and with some rudiments of integration theory. Part II defines tempered generali
Theory of distributions (Functional analysis) --- Functional analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis
Choose an application
This is a systematic exposition of the basics of the theory of quasihomogeneous (in particular, homogeneous) functions and distributions (generalized functions). A major theme is the method of taking quasihomogeneous averages. It serves as the central tool for the study of the solvability of quasihomogeneous multiplication equations and of quasihomogeneous partial differential equations with constant coefficients. Necessary and sufficient conditions for solvability are given. Several examples are treated in detail, among them the heat and the Schrödinger equation. The final chapter is devoted
Theory of distributions (Functional analysis) --- Functional analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis
Choose an application
Generalized functions : theory and technique
Theory of distributions (Functional analysis). --- Distribution [Analyse fonctionnelle]. --- Distributies [Functionaalanalyse]. --- Theory of distributions (Functional analysis) --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis
Choose an application
The aim of this book is to provide a comprehensive introduction to the theory of distributions, by the use of solved problems. Although written for mathematicians, it can also be used by a wider audience, including engineers and physicists.The first six chapters deal with the classical theory, with special emphasis on the concrete aspects. The reader will find many examples of distributions and learn how to work with them. At the beginning of each chapter the relevant theoretical material is briefly recalled. The last chapter is a short introduction to a very wide and important
Mathematical distribution theory --- Partial differential equations --- Theory of distributions (Functional analysis) --- Differential equations, Partial --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis --- 517.95 --- 517.982.4 --- 517.982.4 Theory of generalized functions (distributions) --- Theory of generalized functions (distributions) --- 517.95 Partial differential equations --- Problems, exercises, etc
Choose an application
Distributions and Fourier transforms
517.982.4 --- Theory of generalized functions (distributions) --- Fourier transformations. --- Theory of distributions (Functional analysis) --- Theory of distributions (Functional analysis). --- 517.982.4 Theory of generalized functions (distributions) --- Transformations, Fourier --- Transforms, Fourier --- Fourier analysis --- Transformations (Mathematics) --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis
Listing 1 - 9 of 9 |
Sort by
|