Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/16036
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Carmichael R. | en |
dc.contributor.author | Pilipović, Stevan | en |
dc.date.accessioned | 2020-03-03T15:02:21Z | - |
dc.date.available | 2020-03-03T15:02:21Z | - |
dc.date.issued | 1998-01-01 | en |
dc.identifier.issn | 10652469 | en |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/16036 | - |
dc.description.abstract | Let C be a regular cone in ℝn. The Cauchy and Poisson kernel functions, denoted K(z - t), z ∈ ℝn + iC, t ∈ ℝn, and Q(z; t), z ∈ ℝn + iC, t ∈ ℝn, respectively, are defined and are shown to be elements in the ultradifferential spaces D(*, Ls) for 1 < s ≤ ∞ and 1 ≤ s ≤ ∞, respectively, as functions of t ∈ ℝn for z ∈ ℝn+iC arbitrary but fixed. Cauchy and Poisson integrals of ultradistributions in D′(*, Ls) for the corresponding values of s are defined and properties of them are indicated. D(*, Ls) and D′(*, Ls) are defined through the use of special sequences {Mp} of positive real numbers, and the spaces D′(*, Ls) generalize the Schwartz spaces D′Ls. | en |
dc.relation.ispartof | Integral Transforms and Special Functions | en |
dc.title | Cauchy and Poisson kernels for tubes | en |
dc.type | Journal/Magazine Article | en |
dc.identifier.doi | 10.1080/10652469808819146 | en |
dc.identifier.scopus | 2-s2.0-0032250385 | en |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/0032250385 | en |
dc.relation.lastpage | 14 | en |
dc.relation.firstpage | 9 | en |
dc.relation.issue | 1-4 | en |
dc.relation.volume | 6 | en |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.dept | Prirodno-matematički fakultet, Departman za matematiku i informatiku | - |
crisitem.author.orcid | 0000-0002-5443-4467 | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
Appears in Collections: | PMF Publikacije/Publications |
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