On the reduction formula of Feinberg and Pais

Feinberg and Pais have considered a "reduction" formula for the Fourier transform of functions which depend only on the hyperbolic distance. They have shown that the formula is valid in particular cases and stated that it should be valid in general. We show that it is valid for any causal...

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Detalles Bibliográficos
Autores principales: Giambiagi, Juan José, González Domínguez, Alberto
Publicado: 1965
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v6_n1_p165_Bollini
http://hdl.handle.net/20.500.12110/paper_00222488_v6_n1_p165_Bollini
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00222488_v6_n1_p165_Bollini
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spelling paper:paper_00222488_v6_n1_p165_Bollini2023-06-08T14:48:20Z On the reduction formula of Feinberg and Pais Giambiagi, Juan José González Domínguez, Alberto Feinberg and Pais have considered a "reduction" formula for the Fourier transform of functions which depend only on the hyperbolic distance. They have shown that the formula is valid in particular cases and stated that it should be valid in general. We show that it is valid for any causal distribution and furthermore that it is actually an extension of the well-known Bochner Theorem on the Fourier transform of radial functions. Fil:Giambiagi, J.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:González Domínguez, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1965 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v6_n1_p165_Bollini http://hdl.handle.net/20.500.12110/paper_00222488_v6_n1_p165_Bollini
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description Feinberg and Pais have considered a "reduction" formula for the Fourier transform of functions which depend only on the hyperbolic distance. They have shown that the formula is valid in particular cases and stated that it should be valid in general. We show that it is valid for any causal distribution and furthermore that it is actually an extension of the well-known Bochner Theorem on the Fourier transform of radial functions.
author Giambiagi, Juan José
González Domínguez, Alberto
spellingShingle Giambiagi, Juan José
González Domínguez, Alberto
On the reduction formula of Feinberg and Pais
author_facet Giambiagi, Juan José
González Domínguez, Alberto
author_sort Giambiagi, Juan José
title On the reduction formula of Feinberg and Pais
title_short On the reduction formula of Feinberg and Pais
title_full On the reduction formula of Feinberg and Pais
title_fullStr On the reduction formula of Feinberg and Pais
title_full_unstemmed On the reduction formula of Feinberg and Pais
title_sort on the reduction formula of feinberg and pais
publishDate 1965
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v6_n1_p165_Bollini
http://hdl.handle.net/20.500.12110/paper_00222488_v6_n1_p165_Bollini
work_keys_str_mv AT giambiagijuanjose onthereductionformulaoffeinbergandpais
AT gonzalezdominguezalberto onthereductionformulaoffeinbergandpais
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