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Details for article 71 of 164 found articles
| Title: |
Holomorphlc functions in tubes associated with ultradistributions |
| Author: |
Carmichael, Richard D. Pathak, R. S. Pilipovic, S. |
| Appeared in: |
Complex variables and elliptic equations |
| Paging: | Volume 21 (1993) nr. 1-2 pages 49-72 |
| Year: |
1993-02 |
| Contents: |
Let C be a regular cone in [image omitted] and in some instances a more general proper open connected subset of [image omitted] . We study holomorphic functions in tubes [image omitted] which satisfy a norm growth in Lr with the bound involving the associated function M*(ρ) corresponding to sequences Mpp = 0,1,2,…, which are used to define ultradistributions. We show that these holomorphic functions haveFourier-Laplace integral representations and obtain boundary values in the ultradistribution spaces of Beurling type D'((MP),Lr) which are generalizations of the Schwartz distributions D'Lr. The Lr norm growth which we study here is motivated by the norm growth proved here for the Cauchy integral of elements in D'(*,Lr), where * is either (Mp) or {Mp}, ultradistributions of Beurling type or Roumieu type, respectively. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 71 of 164 found articles
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