Analytic Properties of a Special q-Exponential Function
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概要
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[numerical formula] yields for q ∈ (0, 1) the so-called symmetric q-difference operator on C ＼{0}. Holomorphic solutions to the fixed point problem of this q-difference operator and of Δ_q^2 are elaborated. The analytic properties of the corresponding holomorphic functions are investigated. A link between the eigenfunctions and the q-Fourier transform by Koornwinder and Swarttouw on a q-linear grid is established. The relevance of the fixed point problem to discrete Schrodinger theory is briefly mentioned.
- 理論物理学刊行会の論文
- 2003-09-30
著者
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Simon Moritz
Munich University Of Technology Dept. Of Mathematics
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RUFFING Andreas
Munich University of Technology, Dept. of Mathematics
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Ruffing Andreas
Munich University Of Technology Dept. Of Mathematics
関連論文
- Analytic Properties of a Special q-Exponential Function
- Basic Analogs of Schrodinger's Equation
- Analytic Properties of a Special q-Exponential Function
- Basic Analogs of Schrodinger's Equation