Representations and properties of weight functions in Tauberian theorems

Author:
B. M. Klykavka

Translated by:
S. Kvasko

Original publication:
Teoriya Imovirnostei ta Matematichna Statistika, tom **77** (2007).

Journal:
Theor. Probability and Math. Statist. **77** (2008), 71-90

MSC (2000):
Primary 60G60, 62E20, 40E05

Published electronically:
January 16, 2009

MathSciNet review:
2432773

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We continue the studies of weight functions in Tauberian theorems for random fields. We obtain the rate of convergence of function series in the representation of a weight function and prove a recurrence relation for weight functions in spaces of various dimensions.

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Additional Information

**B. M. Klykavka**

Affiliation:
Department of Probability Theory and Mathematical Statistics, Faculty for Mechanics and Mathematics, National Taras Shevchenko University, Academician Glushkov Avenue 6, Kyiv 03127, Ukraine

Email:
bklykavka@yahoo.com

DOI:
http://dx.doi.org/10.1090/S0094-9000-09-00748-0

Keywords:
Tauberian theorems,
random fields,
covariance function,
spectral function,
weight function,
rate of convergence

Received by editor(s):
December 25, 2006

Published electronically:
January 16, 2009

Article copyright:
© Copyright 2009
American Mathematical Society