Projective representations of spaces of quasianalytic functionals

• Autorzy: José Bonet , Reinhold Meise , Sergeĭ N. Melikhov
• Języki publikacji: EN

Abstrakty

EN

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 $ℝ^{N}$ 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.

Kategorie tematyczne

• 46A13: Spaces defined by inductive or projective limits (LB, LF, etc.)
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions
• 46F05: Topological linear spaces of test functions, distributions and ultradistributions
• 46F15: Hyperfunctions, analytic functionals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 164
• Numer: 1
• Strony: 91-102

Daty

wydano

2004

Twórcy

autor

José Bonet

• Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, E-46071 Valencia, Spain

autor

Reinhold Meise

• Mathematisches Institut, Heinrich-Heine-Universität, Universitätsstraße 1, D-40225 Düsseldorf, Germany

autor

Sergeĭ N. Melikhov

• Department of Mechanics and Mathematics, Rostov State University, Zorge St. 5, 344090 Rostov on Don, Russia

Identyfikatory

DOI

10.4064/sm164-1-6