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Distributions and their applications in physics /

Distributions and Their Applications in Physics is the introduction of the Theory of Distributions and their applications in physics. The book contains a discussion of those topics under the Theory of Distributions that are already considered classic, which include local distributions; distributions...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Constantinescu, F. (Florin), 1938-
Otros Autores: Farina, J. E. G. (John Edward George), 1933-, Fullerton, Gordon H.
Formato: Electrónico eBook
Idioma:Inglés
Alemán
Publicado: Oxford ; New York : Pergamon Press, 1980.
Edición:1st ed.
Colección:International series in natural philosophy ; v. 100.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Constantinescu, F.  |q (Florin),  |d 1938- 
240 1 0 |a Distributionen und ihre Anwendung in der Physik.  |l English 
245 1 0 |a Distributions and their applications in physics /  |c by F. Constantinescu ; translated by W.E. Jones ; edited by J.E.G. Farina and G.H. Fullerton. 
250 |a 1st ed. 
260 |a Oxford ;  |a New York :  |b Pergamon Press,  |c 1980. 
300 |a 1 online resource (x, 148 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a International series in natural philosophy ;  |v v. 100 
504 |a Includes bibliographical references (pages 142-144) and index. 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2010.  |5 MiAaHDL 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
583 1 |a digitized  |c 2010  |h HathiTrust Digital Library  |l committed to preserve  |2 pda  |5 MiAaHDL 
588 0 |a Print version record. 
505 0 |a Front Cover; Distributions and their Applications in Physics; Copyright Page; Table of Contents; Foreword; Editor's Note; CHAPTER 1. Normed and Countably-normed Spaces; 1.1. Topological Spaces; 1.2. Metric Spaces; 1.3. Topological Linear Spaces; 1.4. Normed Spaces; 1.5. Countably-Normed Spaces; 1.6. Continuous Linear Functionals; 1.7. The Hahn-Banach Theorem; 1.8. Dual Spaces, Strong and Weak Topologies on Dual Spaces; 1.9. Strong and Weak Topologies on Initial Spaces; 1.10. The Union and Direct Sum of Countably-Normed Spaces; 1.11. Linear Operators; CHAPTER 2. Test Function Spaces. 
505 8 |6 880-01  |a 6.2. Multiplication of Distributions by Infinitely Differentiable Functions6.3. The Multiplication of Distributions; 6.4. Differentiation of Distributions; 6.5. Some Applications; CHAPTER 7. Distributions with Compact Support and the General Structure of Tempered Distributions; 7.1. The space [epsilon]' as the Space of Distributions with Compact Support; 7.2. A System of Integral Norms on A; 7.3. Tempered Distributions as Derivatives of Slowly Increasing Functions; 7.4. The Structure of Distributions which are Concentrated at a Point; CHAPTER 8. Functions with Non-integrable Algebraic Singularities. 
505 8 |6 880-02  |a 10.3� The Convolution Theorem10.4. Fourier Transforms of Distributions in '; 10.5. The Calculation of the Fourier Transforms of Certain Distributions by Analytic Continuation; 10.6. A Fundamental Lemma in the Theory of Fourier-Laplace Transforms of Distributions; 10.7. Fourier-Laplace Transforms of Distributions; 10.8. The Product of Distributions in a Certain Class; CHAPTER 11. Distributions Connected with the Light Cone; 11.1. Distributions which are Concentrated in a Smooth Surface; 11.2� Distributions Concentrated on a Cone; 11�3� The Solution of the Cauchy Problem for the Wave Equation. 
520 |a Distributions and Their Applications in Physics is the introduction of the Theory of Distributions and their applications in physics. The book contains a discussion of those topics under the Theory of Distributions that are already considered classic, which include local distributions; distributions with compact support; tempered distributions; the distribution theory in relativistic physics; and many others. The book also covers the Normed and Countably-normed Spaces; Test Function Spaces; Distribution Spaces; and the properties and operations involved in distributions. The text is recommended. 
650 0 |a Theory of distributions (Functional analysis) 
650 0 |a Mathematical physics. 
650 6 |a Th�eorie des distributions (Analyse fonctionnelle)  |0 (CaQQLa)201-0058588 
650 6 |a Physique math�ematique.  |0 (CaQQLa)201-0008394 
650 7 |a SCIENCE  |x Energy.  |2 bisacsh 
650 7 |a SCIENCE  |x Mechanics  |x General.  |2 bisacsh 
650 7 |a SCIENCE  |x Physics  |x General.  |2 bisacsh 
650 7 |a Mathematical physics.  |2 fast  |0 (OCoLC)fst01012104 
650 7 |a Theory of distributions (Functional analysis)  |2 fast  |0 (OCoLC)fst01149672 
700 1 |a Farina, J. E. G.  |q (John Edward George),  |d 1933- 
700 1 |a Fullerton, Gordon H. 
776 0 8 |i Print version:  |a Constantinescu, F. (Florin), 1938-  |s Distributionen und ihre Anwendung in der Physik. English.  |t Distributions and their applications in physics.  |b 1st ed.  |d Oxford ; New York : Pergamon Press, 1980  |w (DLC) 79041718  |w (OCoLC)6426772 
830 0 |a International series in natural philosophy ;  |v v. 100. 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780080182971  |z Texto completo 
880 8 |6 505-01/(S  |a 2.1� Notation2.2. The Test Space D(κ); 2.3. The Test Space D; 2.4. The Test Space δ; 2.5. The Test Space ξ; CHAPTER 3. Distribution Spaces; 3.1. The Distribution Space D' (κ); 3.2. The Distribution Space D'; 3.3� The Distribution Space δ'; 3�4. The Distribution Space ε'; CHAPTER 4. Local Properties of Distributions; 4�1. Partitions of Unity; 4.2. The Support of a Distribution; CHAPTER 5. Simple Examples of Distributions; 5.1. The Dirac Measure; 5.2. The Principal Value; CHAPTER 6. Operations on Distributions; 6.1. Translation and Reflection. 
880 8 |6 505-02/(S  |a 8.1. The Problem of Regularization of Divergent Integrals8.2. Distributions which Depend on a Parameter; 8.3. Regularization by Analytic Continuation; CHAPTER 9. The Tensor Product and the Convolution of Distributions; 9.1. The Tensor Product of Distributions; 9.2. The Convolution of Distributions; 9.3. Regularization of Distributions; 9.4. Fundamental Solutions of Linear Differential Operators; CHAPTER 10. Fourier Transforms; 10.1. Fourier Transforms of Test Functions in Δ and Distributions in Δ'; 10.2. Fourier Transforms of Test Function in D and Distributions in D'