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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Otros Autores: | , |
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
LEADER | 00000cam a2200000 a 4500 | ||
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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' |