Theory of Distributions for Locally Compact Spaces PDF Download
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Author: Leon Ehrenpreis
Publisher: American Mathematical Soc.
ISBN: 0821812211
Category : Compact spaces
Languages : en
Pages : 86
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Book Description
The theory of distributions of Laurent Schwartz may be regarded as a study of the operators [partial symbol]/[partial symbol]x[subscript]i on Euclidean space. In the present paper we should like to shoe in what manner the methods of Schwartz can be extended to a much more general class of functional operators, which act on functions defined on a locally compact space R which is denumerable at infinity.
Author: Leon Ehrenpreis
Publisher: American Mathematical Soc.
ISBN: 0821812211
Category : Compact spaces
Languages : en
Pages : 86
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Book Description
The theory of distributions of Laurent Schwartz may be regarded as a study of the operators [partial symbol]/[partial symbol]x[subscript]i on Euclidean space. In the present paper we should like to shoe in what manner the methods of Schwartz can be extended to a much more general class of functional operators, which act on functions defined on a locally compact space R which is denumerable at infinity.
Author: Leon Ehrenpreis
Publisher:
ISBN:
Category :
Languages : en
Pages : 232
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Book Description
Author: Arthur Erdélyi
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 72
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Book Description
Author: M.A. Al-Gwaiz
Publisher: CRC Press
ISBN: 0849306698
Category : Mathematics
Languages : en
Pages : 276
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Book Description
A textbook for a graduate course in the theory of distributions and related topics, for students of applied mathematics or theoretical physics. Introduces the theory, explicates mathematical structures and the Hilbert-space aspects, and presents applications to typical boundary problems. Annotation
Author: R. S. Pathak
Publisher: Alpha Science Int'l Ltd.
ISBN: 9781842650202
Category : Mathematics
Languages : en
Pages : 162
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Book Description
Provides basic ideas and results of distribution theory and its applications to Fourier analysis and partial differential equations. Examples are provided to illustrate the concepts; exercises of various level of difficulty are given. Important topics covered like basic properties of distributions, convolution, Fourier transforms, Sobolev spaces, weak solutions, distributions on locally convex spaces and on differentiable manifolds.
Author: David Lee Johnson
Publisher:
ISBN:
Category :
Languages : en
Pages : 864
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Book Description
Author: Svetlin G. Georgiev
Publisher: Springer
ISBN: 3319195271
Category : Mathematics
Languages : en
Pages : 217
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Book Description
This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. This book, which consists of 10 chapters, is suitable for upper undergraduate/graduate students and mathematicians seeking an accessible introduction to some aspects of the theory of distributions. It can also be used for one-semester course.
Author: David L. Johnson
Publisher:
ISBN:
Category :
Languages : en
Pages : 435
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Book Description
Author: José Barros-Neto
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 248
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Book Description
Locally convex spaces; Distributions; Convultions; Tempered distributions and their fourier transforms; Sobolev spaces; On some spaces of distributions.
Author: Adina Chirilă
Publisher: Springer Nature
ISBN: 3030671593
Category : Mathematics
Languages : en
Pages : 277
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Book Description
This book presents important contributions to modern theories concerning the distribution theory applied to convex analysis (convex functions, functions of lower semicontinuity, the subdifferential of a convex function). The authors prove several basic results in distribution theory and present ordinary differential equations and partial differential equations by providing generalized solutions. In addition, the book deals with Sobolev spaces, which presents aspects related to variation problems, such as the Stokes system, the elasticity system and the plate equation. The authors also include approximate formulations of variation problems, such as the Galerkin method or the finite element method. The book is accessible to all scientists, and it is especially useful for those who use mathematics to solve engineering and physics problems. The authors have avoided concepts and results contained in other books in order to keep the book comprehensive. Furthermore, they do not present concrete simplified models and pay maximal attention to scientific rigor.
