On the a.s. convergence of certain random series to a fractional random field in D′(ℝd)

We prove the almost sure convergence in the sense of Schwartz distributions of certain random series. This result is useful to construct some type of fractional random fields. These series resemble the Karhunen-Loéve expansions. © 2005 Elsevier B.V. All rights reserved.

Detalles Bibliográficos
Publicado: 2005
Materias:
Almost sure convergence
Fractional integrals
Fractional random fields
Karhunen-Loéve expansions
Long-range dependence
Schwartz distributions
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01677152_v74_n1_p39_Medina
http://hdl.handle.net/20.500.12110/paper_01677152_v74_n1_p39_Medina
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_01677152_v74_n1_p39_Medina
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spelling paper:paper_01677152_v74_n1_p39_Medina2023-06-08T15:16:50Z On the a.s. convergence of certain random series to a fractional random field in D′(ℝd) Almost sure convergence Fractional integrals Fractional random fields Karhunen-Loéve expansions Long-range dependence Schwartz distributions We prove the almost sure convergence in the sense of Schwartz distributions of certain random series. This result is useful to construct some type of fractional random fields. These series resemble the Karhunen-Loéve expansions. © 2005 Elsevier B.V. All rights reserved. 2005 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01677152_v74_n1_p39_Medina http://hdl.handle.net/20.500.12110/paper_01677152_v74_n1_p39_Medina
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Almost sure convergence
Fractional integrals
Fractional random fields
Karhunen-Loéve expansions
Long-range dependence
Schwartz distributions
spellingShingle Almost sure convergence
Fractional integrals
Fractional random fields
Karhunen-Loéve expansions
Long-range dependence
Schwartz distributions
On the a.s. convergence of certain random series to a fractional random field in D′(ℝd)
topic_facet Almost sure convergence
Fractional integrals
Fractional random fields
Karhunen-Loéve expansions
Long-range dependence
Schwartz distributions
description We prove the almost sure convergence in the sense of Schwartz distributions of certain random series. This result is useful to construct some type of fractional random fields. These series resemble the Karhunen-Loéve expansions. © 2005 Elsevier B.V. All rights reserved.
title On the a.s. convergence of certain random series to a fractional random field in D′(ℝd)
title_short On the a.s. convergence of certain random series to a fractional random field in D′(ℝd)
title_full On the a.s. convergence of certain random series to a fractional random field in D′(ℝd)
title_fullStr On the a.s. convergence of certain random series to a fractional random field in D′(ℝd)
title_full_unstemmed On the a.s. convergence of certain random series to a fractional random field in D′(ℝd)
title_sort on the a.s. convergence of certain random series to a fractional random field in d′(ℝd)
publishDate 2005
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01677152_v74_n1_p39_Medina
http://hdl.handle.net/20.500.12110/paper_01677152_v74_n1_p39_Medina
_version_ 1768541651345604608

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