An Abelian theorem for a general class of Mellin-type integral transforms

DOI10.1016/0022-247X(88)90049-2zbMath0647.46040MaRDI QIDQ1104517

Paul Embrechts, Edward Omey

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

regularly varying functionsAbelian theorems for the distributional H-function transformMellin-type integral transforms

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Cites Work

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• Mercerian and Tauberian theorems for differences
• Abelian theorems for distributional H-transform
• Convolution inequalities, regular variation and exceptional sets
• Some Abelian theorems for distributional Meijer Laplace transformation
• The G and H Functions as Symmetrical Fourier Kernels
• Regularly varying functions in the theory of simple branching processes
• An Abel-Tauber Theorem for Laplace Transforms
• Regularly Varying Functions and Convolutions with Real Kernels
• On the behaviour of the characteristic function of a probability distribution in the neighbourhood of the origin