Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2008, Volume 83, Issue 1, Pages 32–38
DOI: https://doi.org/10.4213/mzm3768 (Mi mzm3768) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On the Dependence of Uniform Polyanalytic Polynomial Approximations on the Order of Polyanalyticity

J. J. Carmonaa, K. Yu. Fedorovskiyb

a Universitat Autònoma de Barcelona
b Institute of Information Systems in Management at the State University of Management
Full-text PDF (483 kB) Citations (10)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm3768
Abstract: In this paper, we construct, for each $n\in\mathbb N$, a compact set $X\subset\mathbb C$ (depending on $n$) such that the set of all polyanalytic polynomials of order $n$ is not dense in $\mathrm C(X)$, but the set of all polyanalytic polynomials of order $2n$ is already dense in $\mathrm C(X)$.
Keywords: polyanalytic function, polyanalytic polynomial, uniform approximation, holomorphic function, Schwartz function, Borel measure, Vandermonde matrix.
Received: 26.02.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 1, Pages 31–36
DOI: https://doi.org/10.1134/S0001434608010045
Bibliographic databases:
UDC: 517.583.5+517.956.2
Language: Russian
Citation: J. J. Carmona, K. Yu. Fedorovskiy, “On the Dependence of Uniform Polyanalytic Polynomial Approximations on the Order of Polyanalyticity”, Mat. Zametki, 83:1 (2008), 32–38; Math. Notes, 83:1 (2008), 31–36
Citation in format AMSBIB
\Bibitem{CarFed08}
\by J.~J.~Carmona, K.~Yu.~Fedorovskiy
\paper On the Dependence of Uniform Polyanalytic Polynomial Approximations on the Order of Polyanalyticity
\jour Mat. Zametki
\yr 2008
\vol 83
\issue 1
\pages 32--38
\mathnet{http://mi.mathnet.ru/mzm3768}
\crossref{https://doi.org/10.4213/mzm3768}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2399995}
\zmath{https://zbmath.org/?q=an:1175.30004}
\elib{https://elibrary.ru/item.asp?id=13579402}
\transl
\jour Math. Notes
\yr 2008
\vol 83
\issue 1
\pages 31--36
\crossref{https://doi.org/10.1134/S0001434608010045}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000254056300004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-48849084173}
Linking options:
  • https://www.mathnet.ru/eng/mzm3768
  • https://doi.org/10.4213/mzm3768
  • https://www.mathnet.ru/eng/mzm/v83/i1/p32
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024