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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 5, Pages 54–60 (Mi ivm9237)  
This article is cited in 3 scientific papers (total in 3 papers)

Complex spherical semi-designs

N. O. Kotelina, A. B. Pevnyi

P. Sorokin Syktyvkar State University, 55 Oktyabr'skii Ave., Syktyvkar, 167001 Russia
Full-text PDF (176 kB) Citations (3)
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Abstract: We prove a complex analog of Sidelnikov's integral inequality. In discrete case an inequality turns into equality on the complex spherical semi-designs and only on them.
Keywords: Sidelnikov's inequality, complex spherical semi-designs.
Received: 10.11.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 5, Pages 46–51
DOI: https://doi.org/10.3103/S1066369X17050061
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: Russian
Citation: N. O. Kotelina, A. B. Pevnyi, “Complex spherical semi-designs”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 5, 54–60; Russian Math. (Iz. VUZ), 61:5 (2017), 46–51
Citation in format AMSBIB
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\pages 54--60
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\issue 5
\pages 46--51
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Linking options:
  • https://www.mathnet.ru/eng/ivm9237
  • https://www.mathnet.ru/eng/ivm/y2017/i5/p54
    • This publication is cited in the following 3 articles:
    1. Simon Foucart, Applied and Numerical Harmonic Analysis, Explorations in the Mathematics of Data Science, 2024, 65  crossref
    2. Clare Wickman, Kasso A. Okoudjou, “Gradient Flows for Probabilistic Frame Potentials in the Wasserstein Space”, SIAM J. Math. Anal., 55:3 (2023), 2324  crossref
    3. D. Hughes, Sh. Waldron, “Spherical (T, t)-designs with a small number of vectors”, Linear Alg. Appl., 608 (2021), 84–106  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:184
    Full-text PDF :52
    References:49
    First page:7
     
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