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.

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Detalles Bibliográficos
Autores principales: Medina, J.M., Frías, B.C.
Formato: JOUR
Materias:
Almost sure convergence
Fractional integrals
Fractional random fields
Karhunen-Loéve expansions
Long-range dependence
Schwartz distributions
Acceso en línea: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 todo:paper_01677152_v74_n1_p39_Medina
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spelling todo:paper_01677152_v74_n1_p39_Medina2023-10-03T15:05:14Z On the a.s. convergence of certain random series to a fractional random field in D′(ℝd) Medina, J.M. Frías, B.C. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Medina, J.M.
Frías, B.C.
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.
format JOUR
author Medina, J.M.
Frías, B.C.
author_facet Medina, J.M.
Frías, B.C.
author_sort Medina, J.M.
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)
url http://hdl.handle.net/20.500.12110/paper_01677152_v74_n1_p39_Medina
work_keys_str_mv AT medinajm ontheasconvergenceofcertainrandomseriestoafractionalrandomfieldindrd
AT friasbc ontheasconvergenceofcertainrandomseriestoafractionalrandomfieldindrd
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