Abelian theorems for the distributional Stieltjes transformation

DOI10.1017/S0305004100056115zbMath0414.46028MaRDI QIDQ3049352

Jean Lavoine, O. P. Misra

Publication date: 1979

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

zbMATH Keywords

Abelian theoremsdistributional Stieltjes transformationSchwartz-Hadamard's pseudo-functionsStieltjes-transform

Mathematics Subject Classification ID

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

Related Items (6)

Integral transforms of generalized functions ⋮ Complex inversion formula for the distributional Stieltjes transform ⋮ Abelian theorems for integral transforms of distributions ⋮ Tauberian-type theorems with application to the Stieltjes transformation ⋮ Asymptotic analysis for complex-valued Stieltjes transforms ⋮ An inversion theorem for the Stieltjes transform of distributions

Cites Work

• Analytic representation of generalized functions
• Some Abelian theorems for distributional Stieltjes transformation
• What is the Laplace Transform?

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