Abelian and Tauberian theorems for the Laplace transform of functions in several variables
β Scribed by E Omey; E Willekens
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 616 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0047-259X
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π SIMILAR VOLUMES
A new direct method of the block-pulse functions technique of the inverse Laplace transform for irrational and transcendental transfer functions is presented. It is shown that the existing indirect method can be used equivalently with the new one. Two illustrative examples are given.
In the first part, we generalize the classical result of Bohr by proving that an m Ε½ analogous phenomenon occurs whenever D is an open domain in β«ήβ¬ or, more . Ε½ . Ο± generally, a complex manifold and is a basis in the space of holomorphic n ns0 Ε½ . Ε½ . functions H D such that s 1 and z s 0, n G 1,
We study mapping properties of the Fourier Laplace transform between certain spaces of entire functions. We introduce a variant of the classical Fock space by integrating against the Monge AmpeΓ re measure of the weight function and show that the norm of the Fourier Laplace transform, in a dual Fock