Asymptotic behaviours of a class of integral transforms in complex domains

DOI10.1017/S0013091500028637zbMath0691.46027OpenAlexW1976287640MaRDI QIDQ3032808

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Publication date: 1989

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500028637

zbMATH Keywords

generalized Wimp transforminitial and final value theoremsquasi- asymptotic behaviour of the W-transformable generalized functionsW- transform of distributions

Mathematics Subject Classification ID

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

Related Items (3)

Abelian theorems for integral transforms of distributions ⋮ Integral transforms and asymptotics of generalized functions ⋮ Tauberian theorems for integral transforms of distributions

Cites Work

• Abelian theorems for the distributional Stieltjes transform
• Abelian theorems for distributional H-transform
• The special functions and their approximations. Vol. I, II
• Slowly varying functions and asymptotic relations
• A note on the distributional Stieltjes transformation
• Abelian and Tauberian theorems for Stieltjes transforms of distributions
• Asymptotic behaviour of the H-transform in the complex domain
• Asymptotic expansions of the kontorovich—lebedev transform
• QUASI-ASYMPTOTICS OF GENERALIZED FUNCTIONS AND TAUBERIAN THEOREMS IN THE COMPLEX DOMAIN
• Some Abelian Theorems for the Distributional Hankel and K Transformations
• Generalized transforms and their asymptotic behaviour

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