A note on holomorphic functions and the Fourier-Laplace transform

• Marcus Carlsson ^[1] ; Jens Wittsten
  1. [1] Lund University-SWEDEN
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 120, Nº 2, 2017, págs. 225-248
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We revisit the classical problem of when a given function, which is analytic in the upper half plane C+, can be written as the Fourier transform of a function or distribution with support on a half axis (−∞,b], b∈R. We derive slight improvements of the classical Paley-Wiener-Schwartz Theorem, as well as softer conditions for verifying membership in classical function spaces such as Hp(C+).