Jacobi -functions and discrete Fourier transforms

Jacobi -functions and discrete Fourier transforms

Properties of the Jacobi {theta}{sub 3}-function and its derivatives under discrete Fourier transforms are investigated, and several interesting results are obtained. The role of modulo N equivalence classes in the theory of {theta}-functions is stressed. An important conjecture is studied.

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Veröffentlicht in:Journal of mathematical physics 2006-06, Vol.47 (6), p.063507.1-063507.10
1. Verfasser: RUZZI, M
Format: Artikel
Sprache:eng
Schlagworte:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Exact sciences and technology
FOURIER TRANSFORMATION
FUNCTIONAL ANALYSIS
HILBERT SPACE
JACOBIAN FUNCTION
MATHEMATICAL LOGIC
Mathematical methods in physics
Mathematics
Physics
Sciences and techniques of general use
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Beschreibung
Zusammenfassung:Properties of the Jacobi {theta}{sub 3}-function and its derivatives under discrete Fourier transforms are investigated, and several interesting results are obtained. The role of modulo N equivalence classes in the theory of {theta}-functions is stressed. An important conjecture is studied.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.2209770