Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions

DOI10.1063/1.3282850zbMath1309.33003arXiv0911.4209OpenAlexW3105678002MaRDI QIDQ5246566

Jiří Hrivnák, Jirí Patera

Publication date: 21 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.4209

Mathematics Subject Classification ID

Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63) Exponential and trigonometric functions (33B10)

Related Items (4)

Generalized discrete orbit function transforms of affine Weyl groups ⋮ Dominant weight multiplicities in hybrid characters of \(B_n\), \(C_n\), \(F_4\), \(G_2\) ⋮ Weight-lattice discretization of Weyl-orbit functions ⋮ Two-dimensional symmetric and antisymmetric generalizations of sine functions

Cites Work

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• The Discrete Cosine Transform
• Two-dimensional symmetric and antisymmetric generalizations of sine functions
• Alternating multivariate trigonometric functions and corresponding Fourier transforms
• Gibbs Phenomenon for Functions of Two Variables

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