메뉴 건너뛰기




Volumn 124, Issue 9, 1996, Pages 2787-2795

Linear independence of time-frequency translates

Author keywords

Affine group; Frames; Gabor analysis; Heisenberg group; Linear independence; Phase space; Refinement equations; Schroedinger representation; Time frequency; Wavelet analysis

Indexed keywords


EID: 21444434839     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-96-03346-1     Document Type: Article
Times cited : (67)

References (18)
  • 1
    • 84951603000 scopus 로고
    • Differentiation and the Balian-Low Theorem
    • [BHW]
    • [BHW] J. Benedetto, C. Heil, and D. Walnut, Differentiation and the Balian-Low Theorem, J. Fourier Anal. Appl. 1 (1995), 355-402.
    • (1995) J. Fourier Anal. Appl. , vol.1 , pp. 355-402
    • Benedetto, J.1    Heil, C.2    Walnut, D.3
  • 4
    • 33645901468 scopus 로고    scopus 로고
    • Perturbations of frames and atomic decompositions
    • [CH] to appear
    • [CH] O. Christensen and C. Heil, Perturbations of frames and atomic decompositions, Math. Nachr. (to appear).
    • Math. Nachr.
    • Christensen, O.1    Heil, C.2
  • 5
    • 0025482241 scopus 로고
    • The wavelet transform, time-frequency localization and signal analysis
    • [D1] MR 91e:42038
    • [D1] I. Daubechies, The wavelet transform, time-frequency localization and signal analysis, IEEE Trans. Inform. Theory 39 (1990), 961-1005. MR 91e:42038
    • (1990) IEEE Trans. Inform. Theory , vol.39 , pp. 961-1005
    • Daubechies, I.1
  • 6
    • 0003833285 scopus 로고
    • [D2] SIAM Press, Philadelphia, MR 93e:42045
    • [D2] _, Ten Lectures on Wavelets, SIAM Press, Philadelphia, 1992. MR 93e:42045
    • (1992) Ten Lectures on Wavelets
  • 7
    • 0002566774 scopus 로고
    • A unified approach to atomic decompositions through integrable group representations
    • [FG1] Function Spaces and Applications, (M. Cwikel et al., eds.), Springer-Verlag, New York, MR 89h:46035
    • [FG1] H. G. Feichtinger and K. Gröchenig, A unified approach to atomic decompositions through integrable group representations. Function Spaces and Applications, Lecture Notes in Math. (M. Cwikel et al., eds.), vol. 1302, Springer-Verlag, New York, 1988, pp. 52-73. MR 89h:46035
    • (1988) Lecture Notes in Math. , vol.1302 , pp. 52-73
    • Feichtinger, H.G.1    Gröchenig, K.2
  • 8
    • 0001242228 scopus 로고
    • Banach spaces related to integrable group representations and their atomic decompositions, I
    • [FG2] _
    • [FG2] _, Banach spaces related to integrable group representations and their atomic decompositions, I, J. Funct. Anal. 86 (1989), 307-340;
    • (1989) J. Funct. Anal. , vol.86 , pp. 307-340
  • 9
    • 0001736922 scopus 로고
    • Banach spaces related to integrable group representations and their atomic decompositions, II
    • MR 91g:43012
    • Banach spaces related to integrable group representations and their atomic decompositions, II, Monatshefte für Mathematik 108 (1989), 129-148. MR 91g:43012
    • (1989) Monatshefte Für Mathematik , vol.108 , pp. 129-148
  • 10
    • 0003813189 scopus 로고
    • [F] Princeton University Press, Princeton, NJ, MR 92k:22017
    • [F] G. B. Folland, Harmonic Analysis in Phase Space, Princeton University Press, Princeton, NJ, 1989. MR 92k:22017
    • (1989) Harmonic Analysis in Phase Space
    • Folland, G.B.1
  • 11
    • 0024903928 scopus 로고
    • Continuous and discrete wavelet transforms
    • [HW] MR 91c:42032
    • [HW] C. Heil and D. Walnut, Continuous and discrete wavelet transforms, SIAM Review 31 (1989), 628-666. MR 91c:42032
    • (1989) SIAM Review , vol.31 , pp. 628-666
    • Heil, C.1    Walnut, D.2
  • 12
    • 0023851205 scopus 로고
    • The Zak transform: A signal transform for sampled time-continuous signals
    • [J] MR 89g:94005
    • [J] A. J. E. M. Janssen, The Zak transform: a signal transform for sampled time-continuous signals, Philips J. Res. 43 (1988), 23-69. MR 89g:94005
    • (1988) Philips J. Res. , vol.43 , pp. 23-69
    • Janssen, A.J.E.M.1
  • 13
    • 21344488294 scopus 로고
    • Deformations of Gabor frames
    • [K] MR 95a:42047
    • [K] G. Kaiser, Deformations of Gabor frames, J. Math. Phys. 35 (1994), 1372-1376. MR 95a:42047
    • (1994) J. Math. Phys. , vol.35 , pp. 1372-1376
    • Kaiser, G.1
  • 14
    • 84966250643 scopus 로고
    • A sparse regular sequence of exponentials closed on large sets
    • [L] MR 34:6433
    • [L] H. J. Landau, A sparse regular sequence of exponentials closed on large sets, Bull. Amer. Math. Soc. 70 (1964), 566-569. MR 34:6433
    • (1964) Bull. Amer. Math. Soc. , vol.70 , pp. 566-569
    • Landau, H.J.1
  • 15
    • 33645935606 scopus 로고    scopus 로고
    • The chirplet transform: Mathematical considerations, and some of its applications
    • [MBHJ] to appear
    • [MBHJ] S. Mann, R. G. Baraniuk, S. Haykin, and D. J. Jones, The chirplet transform: mathematical considerations, and some of its applications, IEEE Trans. Signal Proc. (to appear).
    • IEEE Trans. Signal Proc.
    • Mann, S.1    Baraniuk, R.G.2    Haykin, S.3    Jones, D.J.4
  • 16
    • 0029289970 scopus 로고
    • Incompleteness of sparse coherent states
    • [RS]
    • [RS] J. Ramanathan and T. Steger, Incompleteness of sparse coherent states, Appl. Comp. Harm. Anal. 2 (1995), 148-153.
    • (1995) Appl. Comp. Harm. Anal. , vol.2 , pp. 148-153
    • Ramanathan, J.1    Steger, T.2
  • 17
    • 0000295649 scopus 로고
    • Von Neumann algebras associated with pairs of lattices in Lie groups
    • [R] MR 84f:22010
    • [R] M. Rieffel, Von Neumann algebras associated with pairs of lattices in Lie groups, Math. Ann. 257 (1981), 403-418. MR 84f:22010
    • (1981) Math. Ann. , vol.257 , pp. 403-418
    • Rieffel, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.