Characterization of L. Schwartz' convolutor and multiplier spaces \(\mathcal O'_C\) and \(\mathcal O_M\) by the short-time Fourier transform

DOI10.1007/s13398-013-0144-4zbMath1297.42016OpenAlexW2053928309MaRDI QIDQ740729

Christian Bargetz, Norbert Ortner and Peter Wagner

Publication date: 9 September 2014

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-013-0144-4

zbMATH Keywords

multipliersshort-time Fourier transformrapidly decreasing functionstemperate distributions

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15)

Related Items (8)

Weighted (\textit{PLB})-spaces of ultradifferentiable functions and multiplier spaces ⋮ Sequence space representations for spaces of smooth functions and distributions via Wilson bases ⋮ Topologies in the Set of Rapidly Decreasing Distributions ⋮ Topological properties of convolutor spaces via the short-time Fourier transform ⋮ Convolutors of translation-modulation invariant Banach spaces of ultradistributions ⋮ Convolutors on \(\mathcal{S}_{\omega}(\mathbb{R}^N)\) ⋮ On the space of ultradistributions vanishing at infinity ⋮ Gelfand Triples for the Kohn–Nirenberg Quantization on Homogeneous Lie Groups

Cites Work

• Espaces de fonctions différentiables à valeurs vectorielles
• Erratum to: Topological tensor products and nuclear spaces.
• Théorie des distributions à valeurs vectorielles
• Théorie des distributions à valeurs vectorielles. II
• Spaces of test functions via the STFT
• Hardy's Theorem and the Short-Time Fourier Transform of Schwartz Functions
• Harmonic Analysis in Phase Space. (AM-122)
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