On the Laplace transforms of retarded, Lorentz-invariant functions

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Let ø(t) (t ∈ Rn) be a retarded, Lorentz-invariant function which satisfies, in addition, condition (c). We call "R" the family of such functions. Let f(z) be the Laplace transform of ø(t) ∈ R. We prove (Theorem 1) that f(z) can be expressed as a K-transform (formula (I, 2; 1)). We apply t...

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Autores principales: Domínguez, A.G., Trione, S.E.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 1979
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00018708_v31_n1_p51_Dominguez
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paperaa:paper_00018708_v31_n1_p51_Dominguez2023-06-12T16:39:32Z On the Laplace transforms of retarded, Lorentz-invariant functions Adv. Math. 1979;31(1):51-62 Domínguez, A.G. Trione, S.E. Let ø(t) (t ∈ Rn) be a retarded, Lorentz-invariant function which satisfies, in addition, condition (c). We call "R" the family of such functions. Let f(z) be the Laplace transform of ø(t) ∈ R. We prove (Theorem 1) that f(z) can be expressed as a K-transform (formula (I, 2; 1)). We apply this formula to evaluate several Laplace transforms. We show that it affords simple proofs of important known results. Formula (I, 2; 1) is an effective complement to L. Schwartz' method of evaluating Fourier transforms via Laplace transforms ("Théorie des distributions," p. 264, Hermann, Paris, 1966). We think this is the most useful application of our formula. © 1979. Fil:Trione, S.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1979 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00018708_v31_n1_p51_Dominguez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
description Let ø(t) (t ∈ Rn) be a retarded, Lorentz-invariant function which satisfies, in addition, condition (c). We call "R" the family of such functions. Let f(z) be the Laplace transform of ø(t) ∈ R. We prove (Theorem 1) that f(z) can be expressed as a K-transform (formula (I, 2; 1)). We apply this formula to evaluate several Laplace transforms. We show that it affords simple proofs of important known results. Formula (I, 2; 1) is an effective complement to L. Schwartz' method of evaluating Fourier transforms via Laplace transforms ("Théorie des distributions," p. 264, Hermann, Paris, 1966). We think this is the most useful application of our formula. © 1979.
format Artículo
Artículo
publishedVersion
author Domínguez, A.G.
Trione, S.E.
spellingShingle Domínguez, A.G.
Trione, S.E.
On the Laplace transforms of retarded, Lorentz-invariant functions
author_facet Domínguez, A.G.
Trione, S.E.
author_sort Domínguez, A.G.
title On the Laplace transforms of retarded, Lorentz-invariant functions
title_short On the Laplace transforms of retarded, Lorentz-invariant functions
title_full On the Laplace transforms of retarded, Lorentz-invariant functions
title_fullStr On the Laplace transforms of retarded, Lorentz-invariant functions
title_full_unstemmed On the Laplace transforms of retarded, Lorentz-invariant functions
title_sort on the laplace transforms of retarded, lorentz-invariant functions
publishDate 1979
url http://hdl.handle.net/20.500.12110/paper_00018708_v31_n1_p51_Dominguez
work_keys_str_mv AT dominguezag onthelaplacetransformsofretardedlorentzinvariantfunctions
AT trionese onthelaplacetransformsofretardedlorentzinvariantfunctions
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