Space of test functions for higher-order field theories

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The fundamental space ζ is defined as the set of entire analytic functions [test functions φ(z)], which are rapidly decreasing on the real axis. The variable z corresponds to the complex energy plane. The conjugate or dual space ζ′ is the set of continuous linear functionals (distrib...

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Autores principales:	Bollini, C.G., Oxman, L.E., Rocca, M.
Formato:	Artículo publishedVersion
Publicado:	1994
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_00222488_v35_n9_p4429_Bollini http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00222488_v35_n9_p4429_Bollini_oai
Aporte de:	Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

id	I28-R145-paper_00222488_v35_n9_p4429_Bollini_oai
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spelling	I28-R145-paper_00222488_v35_n9_p4429_Bollini_oai2020-10-19 Bollini, C.G. Oxman, L.E. Rocca, M. 1994 The fundamental space ζ is defined as the set of entire analytic functions [test functions φ(z)], which are rapidly decreasing on the real axis. The variable z corresponds to the complex energy plane. The conjugate or dual space ζ′ is the set of continuous linear functionals (distributions) on ζ. Among those distributions are the propagators, determined by the poles implied by the equations of motion and the contour of integration implied by the boundary conditions. All propagators can be represented as linear combinations of elementary (one pole) functionals. The algebra of convolution products is also determined. The Fourier transformed space ζ̃ contains test functions φ̃(x). These functions are extra-rapidly decreasing, so that the exponentially increasing solutions of higher-order equations are distributions on ζ̃. © 1994 American Institute of Physics. Fil:Oxman, L.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_00222488_v35_n9_p4429_Bollini info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Journal of Mathematical Physics 1994;35(9):4429-4438 Space of test functions for higher-order field theories info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00222488_v35_n9_p4429_Bollini_oai
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-145
collection	Repositorio Digital de la Universidad de Buenos Aires (UBA)
description	The fundamental space ζ is defined as the set of entire analytic functions [test functions φ(z)], which are rapidly decreasing on the real axis. The variable z corresponds to the complex energy plane. The conjugate or dual space ζ′ is the set of continuous linear functionals (distributions) on ζ. Among those distributions are the propagators, determined by the poles implied by the equations of motion and the contour of integration implied by the boundary conditions. All propagators can be represented as linear combinations of elementary (one pole) functionals. The algebra of convolution products is also determined. The Fourier transformed space ζ̃ contains test functions φ̃(x). These functions are extra-rapidly decreasing, so that the exponentially increasing solutions of higher-order equations are distributions on ζ̃. © 1994 American Institute of Physics.
format	Artículo Artículo publishedVersion
author	Bollini, C.G. Oxman, L.E. Rocca, M.
spellingShingle	Bollini, C.G. Oxman, L.E. Rocca, M. Space of test functions for higher-order field theories
author_facet	Bollini, C.G. Oxman, L.E. Rocca, M.
author_sort	Bollini, C.G.
title	Space of test functions for higher-order field theories
title_short	Space of test functions for higher-order field theories
title_full	Space of test functions for higher-order field theories
title_fullStr	Space of test functions for higher-order field theories
title_full_unstemmed	Space of test functions for higher-order field theories
title_sort	space of test functions for higher-order field theories
publishDate	1994
url	http://hdl.handle.net/20.500.12110/paper_00222488_v35_n9_p4429_Bollini http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00222488_v35_n9_p4429_Bollini_oai
work_keys_str_mv	AT bollinicg spaceoftestfunctionsforhigherorderfieldtheories AT oxmanle spaceoftestfunctionsforhigherorderfieldtheories AT roccam spaceoftestfunctionsforhigherorderfieldtheories
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Space of test functions for higher-order field theories

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