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      On a q-extension of Mehta's eigenvectors of the finite Fourier transform for q a root of unity

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          Abstract

          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.

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          Journal
          25 November 2008
          2009-05-21
          Article
          10.1088/1751-8113/42/45/454004
          0811.4100
          e46e9e89-cadb-4d8d-a86d-9fbd55fd0ef6

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          33D45; 42A38
          J. Phys. A 42 (2009) 454004
          12 pages, thoroughly rewritten, the q-extended eigenvectors now N-periodic with q an M-th root of 1
          math.CA

          Mathematics
          Mathematics

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