Weighted (\textit{PLB})-spaces of ultradifferentiable functions and multiplier spaces
DOI10.1007/s00605-021-01664-zzbMath1500.46020arXiv2010.02606OpenAlexW3092342832MaRDI QIDQ2143269
Lenny Neyt, Andreas Debrouwere
Publication date: 31 May 2022
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.02606
multiplier spacesGabor framesGelfand-Shilov spacesshort-time Fourier transformultrabornologicallocally convexultrabornological (PLB)-spacesultradifferential
Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Barrelled spaces, bornological spaces (46A08) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Characterization of L. Schwartz' convolutor and multiplier spaces \(\mathcal O'_C\) and \(\mathcal O_M\) by the short-time Fourier transform
- On the space of ultradistributions vanishing at infinity
- Projective limits of weighted (LB)-spaces of continuous functions
- A representation of the space \(O_ M\).
- Signal analytic proofs of two basic results on lattice expansions
- Foundations of time-frequency analysis
- On the non-triviality of certain spaces of analytic functions. Hyperfunctions and ultrahyperfunctions of fast growth
- Ultradifferentiable functions and Fourier analysis
- Derived functors in functional analysis
- Gabor frames, unimodularity, and window decay
- The nuclearity of Gelfand-Shilov spaces and kernel theorems
- Inclusion theorems for the Moyal multiplier algebras of generalized Gelfand-Shilov spaces
- A new proof for the bornologicity of the space of slowly increasing functions
- A comparison of two different ways to define classes of ultradifferentiable functions
- Pairs of dual Gabor frame generators with compact support and desired frequency localization
- Convolution and multiplication operators in Fourier hyperfunctions
- A support theorem for quasianalytic functionals
- A Projective Description of Weighted Inductive Limits
- On the functors Ext¹(E,F) for Fréchet spaces
- Topological properties of convolutor spaces via the short-time Fourier transform
- The short-time Fourier transform of distributions of exponential type and tauberian theorems for shift-asymptotics
- On weighted inductive limits of spaces of ultradifferentiable functions and their duals
- Produits tensoriels topologiques et espaces nucléaires
This page was built for publication: Weighted (\textit{PLB})-spaces of ultradifferentiable functions and multiplier spaces
