A+ CATEGORY SCIENTIFIC UNIT

Projective representations of spaces of quasianalytic functionals

Volume 164 / 2004

José Bonet, Reinhold Meise, Sergeĭ N. Melikhov Studia Mathematica 164 (2004), 91-102 MSC: Primary 46E10; Secondary 46A13, 46F05, 46F15. DOI: 10.4064/sm164-1-6

Abstract

The weighted inductive limit of Fréchet spaces of entire functions in $N$ variables which is obtained as the Fourier–Laplace transform of the space of analytic functionals on an open convex subset of ${\mathbb R}^N$ can be described algebraically as the intersection of a family of weighted Banach spaces of entire functions. The corresponding result for the spaces of quasianalytic functionals is also derived.

Authors

  • José BonetDepartamento de Matemática Aplicada
    Universidad Politécnica de Valencia
    E-46071 Valencia, Spain
    e-mail
  • Reinhold MeiseMathematisches Institut
    Heinrich-Heine-Universität
    Universitätsstraße 1
    D-40225 Düsseldorf, Germany
    e-mail
  • Sergeĭ N. MelikhovDepartment of Mechanics and Mathematics
    Rostov State University
    Zorge St. 5
    344090 Rostov on Don, Russia
    e-mail

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