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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 255, Pages 164–176
(Mi znsl982)
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This article is cited in 2 scientific papers (total in 2 papers)
Two multidimensional analogues of the F. and M. Riesz theorem
M. M. Roginskaya Saint-Petersburg State University
Abstract:
A new collection of Riesz sets for $\mathbb R^n$ and $\mathbb Z^n$ is exhibitize. The results are new even in $1$-dimensional case. An asymptotic estimate of Fourier multipliers on finite measures in $H^{1,\infty}$ space used for the proof is interesting in itself.
Received: 28.11.1998
Citation:
M. M. Roginskaya, “Two multidimensional analogues of the F. and M. Riesz theorem”, Investigations on linear operators and function theory. Part 26, Zap. Nauchn. Sem. POMI, 255, POMI, St. Petersburg, 1998, 164–176; J. Math. Sci. (New York), 107:4 (2001), 4083–4091
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https://www.mathnet.ru/eng/znsl982 https://www.mathnet.ru/eng/znsl/v255/p164
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Abstract page: | 174 | Full-text PDF : | 79 |
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