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Matematicheskie Zametki, 2011, Volume 89, Issue 5, Pages 686–693
DOI: https://doi.org/10.4213/mzm9120 (Mi mzm9120) 		 
Asymptotics of the $n$-Widths of a Wiener Spiral in Complex Hilbert Space

R. S. Ismagilova, K. V. Uskovb

a N. E. Bauman Moscow State Technical University
b OAO "Gasprombank"
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DOI: https://doi.org/10.4213/mzm9120
Abstract: We describe isometric embeddings of the Wiener spiral in complex Hilbert space and obtain the asymptotics of the Kolmogorov $n$-widths of specific embeddings. We note the difference with the asymptotics of the $n$-widths of the Wiener spiral in real Hilbert space.
Keywords: Wiener spiral, Kolmogorov $n$-width, complex Hilbert space, real Hilbert space, isometric embedding, correlation function of a mapping, Hermitian kernel.
Received: 18.11.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 5, Pages 645–651
DOI: https://doi.org/10.1134/S0001434611050051
Bibliographic databases:
Document Type: Article
UDC: 517.518.224
Language: Russian
Citation: R. S. Ismagilov, K. V. Uskov, “Asymptotics of the $n$-Widths of a Wiener Spiral in Complex Hilbert Space”, Mat. Zametki, 89:5 (2011), 686–693; Math. Notes, 89:5 (2011), 645–651
Citation in format AMSBIB
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