On a space of entire functions rapidly decreasing on Rn and its Fourier transform

• Autorzy: Il’dar Kh. Musin
• Języki publikacji: EN

Abstrakty

EN

A space of entire functions of several complex variables rapidly decreasing on Rn and such that their growth along iRn is majorized with the help of a family of weight functions is considered in this paper. For such space an equivalent description in terms of estimates on all of its partial derivatives as functions on Rn and a Paley-Wiener type theorem are obtained.

Słowa kluczowe

EN

Gelfand-Shilov spaces; Fourier transform; entire functions; convex functions

• Wydawca: De Gruyter Open
• Czasopismo: Concrete Operators
• Rocznik: 2015
• Tom: 2
• Numer: 1

Daty

otrzymano

2015-07-15

zaakceptowano

2015-08-10

online

2015-11-06

Twórcy

autor

Il’dar Kh. Musin

• Institute of Mathematics with Computer Centre of RAS, Chernyshevsky str., 112,
  Ufa, 450077, Russia

Bibliografia

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Identyfikatory

DOI

10.1515/conop-2015-0007