Use this url to cite publication: https://cris.mruni.eu/cris/handle/007/24614
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)
| Author | Affiliation | |
|---|---|---|
Vilniaus universitetas |
Title
Distributional boundary values of analytic functions and positive definite distributions
Publisher (trusted)
Institute of Mathematics and Informatics |
Date Issued
| Date |
|---|
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.
Research Area
Gamtos mokslai / Natural Sciences (N)
Field of Science
Matematika / Mathematics (N001)
Abstract (en)
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
Media Type (COAR)
TextJournalJournal articleResearch article
ISSN (of the container)
1392-5113
eLABa
6957004
Coverage Spatial
Lietuva / Lithuania (LT)
Language
Anglų / English (en)
Bibliographic Details
21
| Journal | IF | AIF | AIF (min) | AIF (max) | Cat | AV | Year | Quartile |
|---|---|---|---|---|---|---|---|---|
Nonlinear Analysis-Modelling and Control | 1.075 | 1.524 | 1.064 | 2.041 | 3 | 0.82 | 2015 | Q2 |
| Journal | Cite Score | SNIP | SJR | Year | Quartile |
|---|---|---|---|---|---|
Nonlinear Analysis: Modelling and Control | 2 | 0.814 | 0.528 | 2015 | Q2 |