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Volumn 59, Issue 1, 2008, Pages 15-28

Metaplectic operators on ℂn

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EID: 43649099219     PISSN: 00335606     EISSN: 14643847     Source Type: Journal    
DOI: 10.1093/qmath/ham023     Document Type: Article
Times cited : (31)

References (27)
  • 1
    • 18844456537 scopus 로고    scopus 로고
    • Symmetric informationally complete-positive operator valued measures and the extended Clifford group
    • D. M. Appleby, Symmetric informationally complete-positive operator valued measures and the extended Clifford group, J. Math. Phys. 46 (2005), 052107, 29.
    • (2005) J. Math. Phys , vol.46 , pp. 29
    • Appleby, D.M.1
  • 3
    • 0000217441 scopus 로고
    • Multiplier representations of abelian groups
    • L. Baggett and A. Kleppner, Multiplier representations of abelian groups, J. Funct. Anal. 14 (1973), 299-324.
    • (1973) J. Funct. Anal , vol.14 , pp. 299-324
    • Baggett, L.1    Kleppner, A.2
  • 5
    • 43649104814 scopus 로고    scopus 로고
    • P. G. Casazza and M. Fickus, Chirps on finite cyclic groups, Wavelets XI by M. Papadakis, A. F. Laine, and M. A. Unser, Proc. SPIE, 5914, 2005, pp. 175-180.
    • P. G. Casazza and M. Fickus, Chirps on finite cyclic groups, "Wavelets XI" by M. Papadakis, A. F. Laine, and M. A. Unser, Proc. SPIE, 5914, 2005, pp. 175-180.
  • 6
    • 33645735896 scopus 로고    scopus 로고
    • P. G. Casazza and M. Fickus, Fourier transforms of finite chirps, Frames and Overcomplete Representations in Signal Processing, Communications, and Information Theory by R.V.Balan, Y. C. Eldar and T. Strohmer, Hindawi, New York, 2006, 7 pp.
    • P. G. Casazza and M. Fickus, Fourier transforms of finite chirps, "Frames and Overcomplete Representations in Signal Processing, Communications, and Information Theory" by R.V.Balan, Y. C. Eldar and T. Strohmer, Hindawi, New York, 2006, 7 pp.
  • 8
    • 0034288575 scopus 로고    scopus 로고
    • Weil representations of symplectic groups over rings
    • G. Cliff, D. McNeilly and F. Szechtman, Weil representations of symplectic groups over rings, J. London Math. Soc. 62 (2000), 423-436.
    • (2000) J. London Math. Soc , vol.62 , pp. 423-436
    • Cliff, G.1    McNeilly, D.2    Szechtman, F.3
  • 10
    • 43649102376 scopus 로고    scopus 로고
    • H. G. Feichtinger and K. Gröchenig, Gabor wavelets and the Heisenberg group: Gabor expansions and short time Fourier transform from the group theoretical point of view, Wavelets: a Tutorial in Theory and Applications by C. K. Chui, Academic Press, Boston, 1992, 359-397.
    • H. G. Feichtinger and K. Gröchenig, Gabor wavelets and the Heisenberg group: Gabor expansions and short time Fourier transform from the group theoretical point of view, "Wavelets: a Tutorial in Theory and Applications" by C. K. Chui, Academic Press, Boston, 1992, 359-397.
  • 12
    • 0842295113 scopus 로고    scopus 로고
    • A note on representations of the finite Heisenberg group and sums of greatest common divisors
    • J. Grassberger and G. Hörmann, A note on representations of the finite Heisenberg group and sums of greatest common divisors, Discrete Math. Theor. Comput. Sci. 4 (2001), 91-100.
    • (2001) Discrete Math. Theor. Comput. Sci , vol.4 , pp. 91-100
    • Grassberger, J.1    Hörmann, G.2
  • 14
    • 43649103468 scopus 로고    scopus 로고
    • The geometric Weil representation, 18
    • arXiv:math.RT/0610818
    • S. Gurevich and R. Hadani, The geometric Weil representation, 18 pp., arXiv:math.RT/0610818.
    • Gurevich, S.1    Hadani, R.2
  • 17
    • 13844281131 scopus 로고    scopus 로고
    • Approximation of the Fourier transform and the dual Gabor window
    • N. Kaiblinger, Approximation of the Fourier transform and the dual Gabor window, J. Fourier Anal. Appl. 11 (2005), 25-42.
    • (2005) J. Fourier Anal. Appl , vol.11 , pp. 25-42
    • Kaiblinger, N.1
  • 18
    • 33646592538 scopus 로고    scopus 로고
    • Wilson bases for general time-frequency lattices
    • G. Kutyniok and T. Strohmer, Wilson bases for general time-frequency lattices, SIAM J. Math. Anal. 37 (2005), 685-711.
    • (2005) SIAM J. Math. Anal , vol.37 , pp. 685-711
    • Kutyniok, G.1    Strohmer, T.2
  • 19
    • 0036431446 scopus 로고    scopus 로고
    • On the integral representations for metaplectic operators
    • H. ter Morsche and P. J. Oonincx, On the integral representations for metaplectic operators, J. Fourier Anal. Appl. 8 (2002), 245-257.
    • (2002) J. Fourier Anal. Appl , vol.8 , pp. 245-257
    • ter Morsche, H.1    Oonincx, P.J.2
  • 21
    • 0036064734 scopus 로고    scopus 로고
    • An explicit construction of the metaplectic representation over a finite field
    • M. Neuhauser, An explicit construction of the metaplectic representation over a finite field, J. Lie Theory 12 (2002), 15-30.
    • (2002) J. Lie Theory , vol.12 , pp. 15-30
    • Neuhauser, M.1
  • 22
    • 84967594482 scopus 로고
    • On some explicit formulas in the theory of Weil representation
    • R. Ranga Rao, On some explicit formulas in the theory of Weil representation, Pacific J. Math. 157 (1993), 335-371.
    • (1993) Pacific J. Math , vol.157 , pp. 335-371
    • Ranga Rao, R.1
  • 23
    • 67349143819 scopus 로고
    • Metaplectic Groups and Segal Algebras
    • Springer, Berlin
    • H. Reiter, Metaplectic Groups and Segal Algebras, Lecture Notes in Mathematics 1382, Springer, Berlin, 1989.
    • (1989) Lecture Notes in Mathematics , vol.1382
    • Reiter, H.1
  • 24
    • 0041064594 scopus 로고    scopus 로고
    • Numerical algorithms for discrete Gabor expansions
    • Birkhäuser, Boston
    • T. Strohmer, Numerical algorithms for discrete Gabor expansions, Gabor Analysis and Algorithms, Birkhäuser, Boston, 1998, 267-294.
    • (1998) Gabor Analysis and Algorithms , pp. 267-294
    • Strohmer, T.1
  • 25
    • 2142834013 scopus 로고
    • Construction and classification of irreducible representations of special linear group of the second order over a finite field
    • S. Tanaka, Construction and classification of irreducible representations of special linear group of the second order over a finite field, Osaka J. Math. 4 (1967), 65-84.
    • (1967) Osaka J. Math , vol.4 , pp. 65-84
    • Tanaka, S.1
  • 26
    • 2142709594 scopus 로고    scopus 로고
    • Quantum systems with finite Hilbert space
    • A. Vourdas, Quantum systems with finite Hilbert space, Rep. Prog. Phys. 67 (2004), 267-320.
    • (2004) Rep. Prog. Phys , vol.67 , pp. 267-320
    • Vourdas, A.1
  • 27
    • 34250594733 scopus 로고
    • Sur certains groupes d'opérateurs unitaires
    • A. Weil, Sur certains groupes d'opérateurs unitaires, Acta Math. 111 (1964), 143-211.
    • (1964) Acta Math , vol.111 , pp. 143-211
    • Weil, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.