Bases in spaces of analytic germs

• Autorzy: Michael Langenbruch
• Języki publikacji: EN

Abstrakty

EN

We prove precise decomposition results and logarithmically convex estimates in certain weighted spaces of holomorphic germs near ℝ. These imply that the spaces have a basis and are tamely isomorphic to the dual of a power series space of finite type which can be calculated in many situations. Our results apply to the Gelfand-Shilov spaces $S¹_{α}$ and $S₁^{α}$ for α > 0 and to the spaces of Fourier hyperfunctions and of modified Fourier hyperfunctions.

Kategorie tematyczne

• 46A61: Graded Fr\'echet spaces and tame operators
• 46A35: Summability and bases
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions
• 46F15: Hyperfunctions, analytic functionals
• 46A63: Topological invariants ((DN), ( Ω ), etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 106
• Numer: 1
• Strony: 223-243

Daty

wydano

2012

Twórcy

autor

Michael Langenbruch

• Institute of Mathematics, University of Oldenburg, D-26111 Oldenburg, Germany

Identyfikatory

DOI

10.4064/ap106-0-18