Geodesic
Asymptotics of the $n$-Widths of a Wiener Spiral in Complex Hilbert Space
Matematičeskie zametki, Tome 89 (2011) no. 5, pp. 686-693

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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. 
@article{MZM_2011_89_5_a4,
     author = {R. S. Ismagilov and K. V. Uskov},
     title = {Asymptotics of the $n${-Widths} of a {Wiener} {Spiral} in {Complex} {Hilbert} {Space}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {686--693},
     publisher = {mathdoc},
     volume = {89},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_5_a4/}
}
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R. S. Ismagilov; K. V. Uskov. Asymptotics of the $n$-Widths of a Wiener Spiral in Complex Hilbert Space. Matematičeskie zametki, Tome 89 (2011) no. 5, pp. 686-693. http://geodesic.mathdoc.fr/item/MZM_2011_89_5_a4/