The inverse Laplace transform and analytic pseudo-differential operators

DOI10.1006/JMAA.1998.6083zbMath0918.44001OpenAlexW2055853578MaRDI QIDQ1276364

K. Appert

Publication date: 8 August 1999

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

Full work available at URL: https://semanticscholar.org/paper/0b2c53755d927227b2bc6f2c9ae50cbdb53564c8

zbMATH Keywords

inverse Laplace transformpseudo-differential operatorsdifferential operator of infinite order

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Laplace transform (44A10) Pseudodifferential operators (47G30)

Related Items (7)

Optimal function spaces for the Laplace transform ⋮ The reconstruction of an equation of visco-elasticity ⋮ Optimality of function spaces for kernel integral operators ⋮ Regularization of the inverse Laplace transform by mollification ⋮ Laguerre polynomials and the inverse Laplace transform using discrete data ⋮ Reconstructing the Moore-Gibson-Thompson equation ⋮ The Laplace transform on the rearrangement of invariant spaces

Cites Work

• Numerical inversion of the Laplace transform: a survey and comparison of methods
• A bibliography on numerical inversion of the Laplace transform and applications
• Integral transforms
• A Comparison Theorem for Selfadjoint Operators
• Complex Variable and Regularization Methods of Inversion of the Laplace Transform
• Lie theorems for generalized translation operators
• On the numerical inversion of the Laplace transform and similar Fredholm integral equations of the first kind
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