• Media type: E-Article
  • Title: Necessary Conditions for Integrability of the Fourier Transform
  • Contributor: Liflyand, Elijah
  • imprint: Walter de Gruyter GmbH, 2009
  • Published in: gmj
  • Language: English
  • DOI: 10.1515/gmj.2009.553
  • ISSN: 1572-9176; 1072-947X
  • Keywords: General Mathematics
  • Origination:
  • Footnote:
  • Description: <jats:title>Abstract</jats:title> <jats:p>We prove the necessary conditions for the integrability of the Fourier transform. The result is a generalization, on one hand, of the well known necessary condition for absolutely convergent Fourier series and, on the other hand, of an earlier multidimensional result of Trigub.</jats:p>