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This article is cited in 3 scientific papers (total in 3 papers)
On homogeneous polynomials of several variables on the complex sphere
B. S. Kashin
Abstract:
This article gives a generalization of a theorem of Ryll and Wojtaszczyk on the existence of a sequence of homogeneous polynomials $P_N$, $N=1,2,\dots$, in $d$ variables with degree $P_N=N$ for which
$$
\|P_N\|_{L^2(S^d)}\geqslant c_d\|P_N\|_{C(S^d)}>0,
$$
where $S^d$ is the sphere in $d$-dimensional complex space.
Bibliography: 11 titles.
Received: 04.07.1984
Citation:
B. S. Kashin, “On homogeneous polynomials of several variables on the complex sphere”, Math. USSR-Sb., 54:2 (1986), 409–414
Linking options:
https://www.mathnet.ru/eng/sm1944https://doi.org/10.1070/SM1986v054n02ABEH002977 https://www.mathnet.ru/eng/sm/v168/i3/p420
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Abstract page: | 484 | Russian version PDF: | 134 | English version PDF: | 11 | References: | 53 | First page: | 2 |
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