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.

Guardado en:
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
Descripción
Sumario: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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