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Mathematics of the USSR-Sbornik, 1991, Volume 70, Issue 1, Pages 263–296
DOI: https://doi.org/10.1070/SM1991v070n01ABEH001382
(Mi sm1147)
 

This article is cited in 10 scientific papers (total in 10 papers)

Harmonic analysis in a multiply-connected domain. I

S. I. Fedorov

Leningrad Institute for Informatics and Automation of USSR AS
References:
Abstract: The purpose of this article is to construct harmonic analysis in a finitely-connected plane domain Ω+ bounded by n piecewise analytic curves Γ1,,Γn, nk=1Γk=Γ=Ω+.
Received: 18.10.1989
Bibliographic databases:
UDC: 517.98+517.547
MSC: Primary 32A35; Secondary 30F15, 30F30, 14K20
Language: English
Original paper language: Russian
Citation: S. I. Fedorov, “Harmonic analysis in a multiply-connected domain. I”, Math. USSR-Sb., 70:1 (1991), 263–296
Citation in format AMSBIB
\Bibitem{Fed90}
\by S.~I.~Fedorov
\paper Harmonic analysis in a~multiply-connected domain.~I
\jour Math. USSR-Sb.
\yr 1991
\vol 70
\issue 1
\pages 263--296
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\crossref{https://doi.org/10.1070/SM1991v070n01ABEH001382}
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Linking options:
  • https://www.mathnet.ru/eng/sm1147
  • https://doi.org/10.1070/SM1991v070n01ABEH001382
  • https://www.mathnet.ru/eng/sm/v181/i6/p833
    Cycle of papers
    This publication is cited in the following 10 articles:
    1. Vladimir A. Zolotarev, Lecture Notes in Mathematics, 2355, Analytic Methods of Spectral Representations of Non-Selfadjoint (Non-Unitary) Operators, 2025, 1  crossref
    2. Knese G., “Polynomials Defining Distinguished Varieties”, Trans. Am. Math. Soc., 362:11 (2010), 5635–5655  crossref  mathscinet  zmath  isi
    3. Fedorov S., Pavlov B., “A Remark on Discrete Wave Scattering”, J. Phys. A-Math. Gen., 39:11 (2006), 2657–2671  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. Zolotarev V., “A Functional Model for the Lie Algebra Sl(2, R) of Linear Non-Self-Adjoint Operators”, Operator Theory, System Theory and Related Topics: the Moshe Livsic Anniversary Volume, Operator Theory : Advances and Applications, 123, eds. Alpay D., Vinnikov V., Birkhauser Verlag Ag, 2001, 539–567  mathscinet  zmath  isi
    5. P. Kurasov, Operator Theory, System Theory and Related Topics, 2001, 413  crossref
    6. Daniel Alpay, Victor Vinnikov, “Indefinite Hardy Spaces on Finite Bordered Riemann Surfaces”, Journal of Functional Analysis, 172:1 (2000), 221  crossref  mathscinet  zmath
    7. Mikhail Sodin, Peter Yuditskii, “Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and hardy spaces of character-automorphic functions”, J Geom Anal, 7:3 (1997), 387  crossref  mathscinet  zmath
    8. A. K. Motovilov, “Representations for three-body $T$-matrix on unphysical sheets. I”, Theoret. and Math. Phys., 107:3 (1996), 784–806  mathnet  crossref  crossref  mathscinet  zmath  isi
    9. A. K. Motovilov, “Reformulation of the Lax–Phillips approach in terms of stationary scattering theory”, Theoret. and Math. Phys., 98:2 (1994), 167–180  mathnet  crossref  mathscinet  zmath  isi
    10. V. A. Zolotarev, “The Lax–Phillips scattering scheme on groups, and a functional model of a Lie algebra”, Russian Acad. Sci. Sb. Math., 76:1 (1993), 99–122  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1989–1990 Sbornik: Mathematics
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    Abstract page:533
    Russian version PDF:173
    English version PDF:33
    References:81
    First page:1
     
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