Harmonic analysis on the quantized Riemann sphere

Harmonic analysis on the quantized Riemann sphere

We extend the spectral analysis of differential forms on the disk (viewed as the non-Euclidean plane) in recent work by J. Peetre L. Peng G. Zhang to the dual situation of the Riemann sphere S2. In particular, we determine a concrete orthogonal base in the relevant Hilbert space Lν,2(S2), where −ν2-...

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Bibliographic Details
Main Authors: Jaak Peetre, Genkai Zhang
Format: Article
Language:English
Published: Hindawi Limited 1993-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
riemann sphere
quantization
reproducing kernel
invariant Cauchy-Riemann operator
invariant Laplacean
Morse operator
Hankel operator
hypergeomettic function
orthogonal polynomial.
Online Access:http://dx.doi.org/10.1155/S0161171293000274

Internet

http://dx.doi.org/10.1155/S0161171293000274

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