q-Extension of Mehta's eigenvectors of the finite Fourier transform for q, a root of unity
Por:
Atakishiyeva M.K., Atakishiyev N.M., Koornwinder T.H.
Publicada:
13 nov 2009
Resumen:
It is shown that the continuous q-Hermite polynomials for q, a root of unity, have simple transformation properties with respect to the classical Fourier transform. This result is then used to construct q-extended eigenvectors of the finite Fourier transform in terms of these polynomials.
Filiaciones:
Atakishiyeva M.K.:
Facultad de Ciencias, Universidad Autónoma Del Estado de Morelos, CP 62250 Cuernavaca, Morelos, Mexico
Atakishiyev N.M.:
Univ Nacl Autonoma Mexico, Inst Matemat, Unidad Cuernavaca, Cuernavaca 62251, Morelos, Mexico
Koornwinder T.H.:
Korteweg-de Vries Institute, University of Amsterdam, PO Box 94248, 1090 GE Amsterdam, Netherlands
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