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Theory of Probability and Mathematical Statistics
Theory of Probability and Mathematical Statistics
ISSN 1547-7363(online) ISSN 0094-9000(print)

 

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
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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
PII: S 0094-9000(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