Characterization of L. Schwartz’ convolutor and multiplier spaces $$\mathcal O _{C}'$$ O C ′ and $$\mathcal O _{M}$$ O M by the short-time Fourier transform-Reference-Cited by-同舟云学术

Characterization of L. Schwartz’ convolutor and multiplier spaces $$\mathcal O _{C}'$$ O C ′ and $$\mathcal O _{M}$$ O M by the short-time Fourier transform

Published:2013-09-13 Issue:2 Volume:108 Page:833-847
ISSN:1578-7303
Container-title:Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
language:en
Short-container-title:RACSAM

Author:

Bargetz Christian,Ortner Norbert

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s13398-013-0144-4.pdf

Reference17 articles.

1. Alexander, G.: Produits tensoriels topologiques et espaces nucléaires. Mem. Amer. Math. Soc. 1955(16):Chap I, 196, Chap II, 140 (1955)

2. Bierstedt, K.D.: An introduction to locally convex inductive limits. In: Functional Analysis and Its Applications (Nice, 1986), ICPAM Lecture Notes, pp. 35–133. World Sci. Publishing, Singapore (1988)

3. Christian, B.: Topological Tensor Products and the Convolution of Vector-Valued Distributions. PhD thesis, Universität Innsbruck (2012)

4. Folland, G.B.: Harmonic analysis in phase space, volume 122 of annals of mathematics studies. Princeton University Press, Princeton (1989)

5. Gröchenig, K., Zimmermann, G.: Hardy’s theorem and the short-time Fourier transform of Schwartz functions. J. London Math. Soc. (2) 63(1), 205–214 (2001)

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