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Volumn 212, Issue 2, 1997, Pages 571-582

A q2-analogue operator for q2-analogue Fourier analysis

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; FOURIER TRANSFORMS; FUNCTIONS; NUMERICAL ANALYSIS;

EID: 0031571570     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5547     Document Type: Article
Times cited : (50)

References (12)
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    • 3. M. Fichtmuller and W. Weich, The limit transition q → 1 of the q-Fourier transform J. Math. Phys. 37 (1996), 4683-4689.
    • (1996) J. Math. Phys. , vol.37 , pp. 4683-4689
    • Fichtmuller, M.1    Weich, W.2
  • 4
    • 0003344023 scopus 로고
    • Basic hypergeometric series
    • Cambridge Univ. Press, Cambridge
    • 4. G. Gasper and M. Rahman, "Basic Hypergeometric Series," Encyclopedia Math. Appl, Vol. 35, Cambridge Univ. Press, Cambridge, 1990.
    • (1990) Encyclopedia Math. Appl , vol.35
    • Gasper, G.1    Rahman, M.2
  • 5
    • 0000491228 scopus 로고
    • Die mechanishce deutung einer geometrischen differenzengleichung
    • 5. W. Hahn, Die mechanishce Deutung einer geometrischen Differenzengleichung, Z. Angew. Math. Mech. 33. (1953), 270-272.
    • (1953) Z. Angew. Math. Mech. , vol.33 , pp. 270-272
    • Hahn, W.1
  • 6
    • 0345842525 scopus 로고
    • Models of q-algebra representations: The group of plane motions
    • 6. E. G. Kalnins, W. Miller and S. Mukherjee, Models of q-algebra representations: The group of plane motions, SIAM J. Math. Anal. 25 (1994), 513-527.
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 513-527
    • Kalnins, E.G.1    Miller, W.2    Mukherjee, S.3
  • 7
    • 84974005210 scopus 로고
    • The quantum group of plane motions and the Hahn-Exton q-Bessel function
    • 7. H. T. Koelink, The quantum group of plane motions and the Hahn-Exton q-Bessel function, Duke Math. J. 76, (1994), 483-508.
    • (1994) Duke Math. J. , vol.76 , pp. 483-508
    • Koelink, H.T.1
  • 8
    • 0000017952 scopus 로고
    • On the zeroes of the Hahn-Exton q-Bessel function and associated q-Lommel polynomials
    • 8. H. T. Koelink and R. F. Swarttouw, On the zeroes of the Hahn-Exton q-Bessel function and associated q-Lommel Polynomials, J. Math. Anal. Appl. 186 (1994), 690-710.
    • (1994) J. Math. Anal. Appl. , vol.186 , pp. 690-710
    • Koelink, H.T.1    Swarttouw, R.F.2
  • 9
    • 0000207745 scopus 로고
    • Jacobi functions as limit cases of q-ultraspherical polynomials
    • 9. T. H. Koornwinder, Jacobi functions as limit cases of q-ultraspherical polynomials, J. Math. Anal. Appl. 148 (1990), 44-54.
    • (1990) J. Math. Anal. Appl. , vol.148 , pp. 44-54
    • Koornwinder, T.H.1
  • 10
    • 84968509653 scopus 로고
    • On q-analogues of the Fourier and Hankel transforms
    • 10. T. H. Koornwinder and R. F. Swarttouw, On q-analogues of the Fourier and Hankel transforms, Trans. Amer. Math. Soc. 333 (1992), 445-461.
    • (1992) Trans. Amer. Math. Soc. , vol.333 , pp. 445-461
    • Koornwinder, T.H.1    Swarttouw, R.F.2
  • 11
    • 84966221110 scopus 로고
    • A q-analogue of the Wronskian and a second solution of the Hahn-Exton q-Bessel difference equation
    • 11. R. F. Swarttouw and H. G. Meijer, A q-analogue of the Wronskian and a second solution of the Hahn-Exton q-Bessel difference equation, Proc. Amer. Math. Soc. 120 (1994), 855-864.
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 855-864
    • Swarttouw, R.F.1    Meijer, H.G.2
  • 12
    • 0000734381 scopus 로고
    • An algebra of bounded functions on the quantum group of the motions of the plane, and q-analogues of Bessel functions
    • 12. L. L. Vaksman and L. I. Korogodskii, An algebra of bounded functions on the quantum group of the motions of the plane, and q-analogues of Bessel functions, Soviet Math. Dokl. 39 (1989), 173-177.
    • (1989) Soviet Math. Dokl. , vol.39 , pp. 173-177
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.