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Funktsional'nyi Analiz i ego Prilozheniya, 2002, Volume 36, Issue 2, Pages 62–68
DOI: https://doi.org/10.4213/faa191 (Mi faa191) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A Remark on the Fourier Pairing and the Binomial Formula for the Macdonald Polynomials

A. Yu. Okounkov

University of California, Berkeley
Full-text PDF (116 kB) Citations (5)
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DOI: https://doi.org/10.4213/faa191
Abstract: We concisely and directly prove that the interpolation Macdonald polynomials are orthogonal with respect to the Fourier pairing and briefly discuss immediate applications of this fact, in particular, to the symmetry of the Fourier pairing and to the binomial formula.
Keywords: Macdonald polynomials, Fourier pairing, binomial formula.
Received: 25.10.2001
English version:
Functional Analysis and Its Applications, 2002, Volume 36, Issue 2, Pages 134–139
DOI: https://doi.org/10.1023/A:1015670523770
Bibliographic databases:
Document Type: Article
UDC: 519.1
Language: Russian
Citation: A. Yu. Okounkov, “A Remark on the Fourier Pairing and the Binomial Formula for the Macdonald Polynomials”, Funktsional. Anal. i Prilozhen., 36:2 (2002), 62–68; Funct. Anal. Appl., 36:2 (2002), 134–139
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/faa191
  • https://doi.org/10.4213/faa191
  • https://www.mathnet.ru/eng/faa/v36/i2/p62
    • This publication is cited in the following 5 articles:
    1. Olshanski G., “Interpolation Macdonald Polynomials and Cauchy-Type Identities”, J. Comb. Theory Ser. A, 162 (2019), 65–117  crossref  mathscinet  zmath  isi  scopus
    2. Cuenca C., “Interpolation Macdonald Operators At Infinity”, Adv. Appl. Math., 101 (2018), 15–59  crossref  mathscinet  zmath  isi  scopus
    3. G. I. Olshanskii, “An analogue of the big q-Jacobi polynomials in the algebra of symmetric functions”, Funct. Anal. Appl., 51:3 (2017), 204–220  mathnet  crossref  crossref  isi  elib
    4. Erik Carlsson, Nikita Nekrasov, Andrei Okounkov, “Five dimensional gauge theories and vertex operators”, Mosc. Math. J., 14:1 (2014), 39–61  mathnet  crossref  mathscinet
    5. Kasatani M., Miwa T., Sergeev A.N., Veselov A.P., “Coincident root loci and Jack and Macdonald polynomials for special values of the parameters”, Jack, Hall-Littlewood and Macdonald Polynomials, Contemporary Mathematics Series, 417, 2006, 207–225  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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