Change search
ReferencesLink to record
Permanent link

Direct link
A pure smoothness condition for rads theorem for alpha-analytic functions
Linköping University, Department of Clinical and Experimental Medicine, Division of Neuro and Inflammation Science. Linköping University, Faculty of Medicine and Health Sciences. Linköping University, Center for Medical Image Science and Visualization (CMIV).
Lund University, Sweden.
2016 (English)In: Czechoslovak Mathematical Journal, ISSN 0011-4642, E-ISSN 1572-9141, Vol. 66, no 1, 57-62 p.Article in journal (Refereed) PublishedText
Abstract [en]

Let be a bounded, simply connected a",-convex domain. Let alpha a a"currency sign (+) (n) and let f be a function on Omega which is separately -smooth with respect to z (j) (by which we mean jointly -smooth with respect to Rez (j) , Imz (j) ). If f is alpha-analytic on Omega\f (-1)(0), then f is alpha-analytic on Omega. The result is well-known for the case alpha (i) = 1, 1 a (c) 1/2 i a (c) 1/2 n, even when f a priori is only known to be continuous.

Place, publisher, year, edition, pages
SPRINGER HEIDELBERG , 2016. Vol. 66, no 1, 57-62 p.
Keyword [en]
alpha-analytic function; polyanalytic function; zero set; Rados theorem
National Category
Mathematical Analysis
URN: urn:nbn:se:liu:diva-127575DOI: 10.1007/s10587-016-0238-1ISI: 000373671300006OAI: diva2:926013
Available from: 2016-05-03 Created: 2016-05-03 Last updated: 2016-05-24

Open Access in DiVA

fulltext(192 kB)34 downloads
File information
File name FULLTEXT01.pdfFile size 192 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Daghighi, Abtin
By organisation
Division of Neuro and Inflammation ScienceFaculty of Medicine and Health SciencesCenter for Medical Image Science and Visualization (CMIV)
In the same journal
Czechoslovak Mathematical Journal
Mathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar
Total: 34 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 111 hits
ReferencesLink to record
Permanent link

Direct link