Pseudospherical functions on a hyperboloid of one sheet

The pseudospherical functions on one-sheet, two-dimensional hyperboloid are discussed. The simplest method of construction of these functions is introduced using the Fock space structure of the representation space of the su (1, 1) algebra. The pseudospherical functions with half-integer order are i...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2011-02, Vol.44 (8), p.085302-19
Main Authors: Kowalski, K, Rembieliński, J, Szcześniak, A
Format: Article
Language:English
Subjects:
Algebra
Construction
Exact sciences and technology
Functions (mathematics)
Mathematical analysis
Physics
Representations
Space environment
Spacecraft
Two dimensional
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Summary:The pseudospherical functions on one-sheet, two-dimensional hyperboloid are discussed. The simplest method of construction of these functions is introduced using the Fock space structure of the representation space of the su (1, 1) algebra. The pseudospherical functions with half-integer order are investigated. The counterparts of the Legendre functions for the hyperboloid are introduced and a new class of pseudospherical functions is found.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/44/8/085302