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Distributional boundary values of analytic functions and positive definite distributions
Type of publication
Straipsnis Web of Science ir Scopus duomenų bazėje / Article in Web of Science and Scopus database (S1)
Author(s)
Vilniaus universitetas |
Title
Distributional boundary values of analytic functions and positive definite distributions
Publisher (trusted)
Institute of Mathematics and Informatics
Date Issued
| Date Issued |
|---|
2015 |
Extent
p. 210-225
Is part of
Nonlinear analysis : modelling and control. Vilnius : Institute of Mathematics and Informatics, 2015, vol. 20, no 2.
Description
MPU 2.1.1.
Field of Science
Abstract
We propose necessary and sufficient conditions for a distribution (generalized function) f of several variables to be positive definite. For this purpose, certain analytic extensions of f to tubular domains in complex space Cn are studied. The main result is given in terms of the Cauchy transform and completely monotonic functions.
Is Referenced by
Type of document
type::text::journal::journal article::research article
ISSN (of the container)
1392-5113
eLABa
6957004
Coverage Spatial
Lietuva / Lithuania (LT)
Language
Anglų / English (en)
Bibliographic Details
21