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Matematicheskie Zametki, 2009, Volume 85, Issue 5, Pages 652–660
DOI: https://doi.org/10.4213/mzm6908 (Mi mzm6908) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Generalized D'Alembert Operator on Compactified Pseudo-Euclidean Space

A. S. Blagoveshchenskii

Saint-Petersburg State University
Full-text PDF (445 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm6908
Abstract: It is proved that the D'Alembert operator in $\mathbb R^n$ with multidimensional time, bordered by operators of multiplication by some function, and subject to an acceptance condition at infinity is a self-adjoint operator with discrete spectrum. The spectrum and eigenfunctions are explicitly described.
Keywords: D'Alembert differential operator, self-adjoint operator, pseudo-Euclidean space, conformal transformation group, Kelvin transformation, Laplace operator, spherical function.
Received: 20.06.2008
Revised: 24.10.2008
English version:
Mathematical Notes, 2009, Volume 85, Issue 5, Pages 630–637
DOI: https://doi.org/10.1134/S0001434609050034
Bibliographic databases:
UDC: 517.984.5
Language: Russian
Citation: A. S. Blagoveshchenskii, “The Generalized D'Alembert Operator on Compactified Pseudo-Euclidean Space”, Mat. Zametki, 85:5 (2009), 652–660; Math. Notes, 85:5 (2009), 630–637
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
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    		Математические заметки Mathematical Notes
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