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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 3, Pages 485–500 (Mi smj871)  
This article is cited in 21 scientific papers (total in 21 papers)

Analytic implementation of the duals of some spaces of infinitely differentiable functions

A. V. Abanin, I. A. Filip'ev

Rostov State University
Full-text PDF (286 kB) Citations (21)
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Abstract: Using the Fourier–Laplace transform for functionals, we describe the duals of some spaces of the infinitely differentiable functions given on convex compact sets or convex domains in $\mathbb R^N$ and such that the growth of their derivatives is determined by weight sequences of a general form.
Keywords: infinitely differentiable function, dual space, Fourier–Laplace transform.
Received: 16.04.2005
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 3, Pages 397–409
DOI: https://doi.org/10.1007/s11202-006-0052-3
Bibliographic databases:
UDC: 517.982.3
Language: Russian
Citation: A. V. Abanin, I. A. Filip'ev, “Analytic implementation of the duals of some spaces of infinitely differentiable functions”, Sibirsk. Mat. Zh., 47:3 (2006), 485–500; Siberian Math. J., 47:3 (2006), 397–409
Citation in format AMSBIB
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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