On the diametral dimension of weighted spaces of analytic germs

DOI10.4064/sm8447-4-2016zbMath1356.46007OpenAlexW2588419197MaRDI QIDQ2809356

Michael Langenbruch

Publication date: 27 May 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm8447-4-2016

zbMATH Keywords

Fourier hyperfunctionspower series spacesdiametral dimensionanalytic germs

Mathematics Subject Classification ID

Hyperfunctions, analytic functionals (46F15) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Summability and bases in topological vector spaces (46A35) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63)

Related Items

Sequence space representations for spaces of smooth functions and distributions via Wilson bases ⋮ Sequence space representations for spaces of entire functions with rapid decay on strips

Cites Work

• On the functional dimension of solution spaces of hypoelliptic partial differential operators
• Hermite functions and weighted spaces of generalized functions
• Fundamental properties of modified Fourier hyperfunctions
• Sequence space representations for weighted solution spaces of hypoelliptic systems of partial differential operators
• Kolmogorov diameters in solution spaces of systems of partial differential equations
• Eine Charakterisierung der Potenzreihenraeume von endlichem Typ und ihre Folgerungen
• Bases in spaces of analytic germs
• Bases in solution sheaves of systems of partial differential equations.
• Composition operators on spaces of real analytic functions
• LINEAR PROBLEMS OF COMPLEX ANALYSIS
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