Use this url to cite publication: https://cris.mruni.eu/cris/handle/007/34779
A note on 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
A note on positive definite distributions
Publisher (trusted)
Elsevier |
Date Issued
| Date |
|---|
2013 |
Extent
p. 505-517
Is part of
Indagationes mathematicae. Amsterdam : Elsevier BV, 2013, vol. 24, no. 3.
Field of Science
Abstract (en)
We provide necessary and sufficient conditions for a tempered distribution F∈S′(R)F∈S′(R) to be positive definite. A generalized Cauchy transform View the MathML sourceF˜ of FF is used as a numerical continuation of FF to the open upper and lower half-planes in CC. In fact, our necessary and sufficient conditions for FF are determined completely by the properties of the restriction of View the MathML sourceF˜ to the imaginary axis in CC. The main result is given in terms of completely monotonic and absolutely monotonic functions.
Type of document
type::text::journal::journal article::research article
ISSN (of the container)
0019-3577
WOS
000321478000002
eLABa
3175923
Coverage Spatial
Nyderlandai / Netherlands (NL)
Language
Anglų / English (en)
Bibliographic Details
10
| Journal | IF | AIF | AIF (min) | AIF (max) | Cat | AV | Year | Quartile |
|---|---|---|---|---|---|---|---|---|
INDAGATIONES MATHEMATICAE-NEW SERIES | 0.186 | 0.729 | 0.729 | 0.729 | 1 | 0.255 | 2013 | Q4 |
| Journal | IF | AIF | AIF (min) | AIF (max) | Cat | AV | Year | Quartile |
|---|---|---|---|---|---|---|---|---|
INDAGATIONES MATHEMATICAE-NEW SERIES | 0.186 | 0.729 | 0.729 | 0.729 | 1 | 0.255 | 2013 | Q4 |
| Journal | Cite Score | SNIP | SJR | Year | Quartile |
|---|---|---|---|---|---|
Indagationes Mathematicae | 0.4 | 0.737 | 0.335 | 2013 | Q4 |