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Funktsional'nyi Analiz i ego Prilozheniya, 2001, Volume 35, Issue 2, Pages 53–63
DOI: https://doi.org/10.4213/faa245 (Mi faa245) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Fourier Integrals, Special Functions, and the Semicontinuity Phenomenon

V. P. Palamodov

Tel Aviv University
Full-text PDF (177 kB) Citations (1)
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DOI: https://doi.org/10.4213/faa245
Abstract: For a real weighted homogeneous hypersurface germ, we consider elliptic deformations and related special functions. Singularities of these special functions are characterized by some rational numbers called energy exponents. We apply the residue mapping to the corresponding Fourier integrals and give a geometric interpretation of the energy exponents in the terms of the volume of the associated Lagrangian manifold. The energy exponents are calculated for a series of examples. Two conjectures concerning the energy exponents are discussed.
Received: 24.12.1999
English version:
Functional Analysis and Its Applications, 2001, Volume 35, Issue 2, Pages 124–132
DOI: https://doi.org/10.1023/A:1017579232328
Bibliographic databases:
Document Type: Article
UDC: 515.17+517.5
Language: Russian
Citation: V. P. Palamodov, “Fourier Integrals, Special Functions, and the Semicontinuity Phenomenon”, Funktsional. Anal. i Prilozhen., 35:2 (2001), 53–63; Funct. Anal. Appl., 35:2 (2001), 124–132
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    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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