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Representations and properties of weight functions in Tauberian theorems

Author(s): B. M. Klykavka
Translated by: S. Kvasko
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, vipusk 77 (2007).
Journal: Theor. Probability and Math. Statist. No. 77 (2008), 71-90.
MSC (2000): Primary 60G60, 62E20, 40E05
Posted: January 16, 2009
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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: 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): 25/DEC/2006
Posted: January 16, 2009
Copyright of article: Copyright 2009, American Mathematical Society

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