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Volumn 37, Issue 12, 1996, Pages 6353-6366

Wavelet frames and admissibility in higher dimensions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030376210     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531752     Document Type: Article
Times cited : (41)

References (19)
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  • 2
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    • M. Duflo and C. C. Moore, "On the Regular Representation of a Nonunimodular Locally Compact Group," J. Funct. Anal. 21, 209-243 (1976).
    • (1976) J. Funct. Anal. , vol.21 , pp. 209-243
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  • 3
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    • Square-integrable representations of non-unimodular groups
    • A. L. Carey, Square-integrable Representations of Non-unimodular Groups, Bull. Austral. Math. Soc. 15, 1-12 (1976).
    • (1976) Bull. Austral. Math. Soc. , vol.15 , pp. 1-12
    • Carey, A.L.1
  • 5
    • 0030526326 scopus 로고    scopus 로고
    • Wavelets from square-integrable representations
    • D. Bernier and K. Taylor, "Wavelets from Square-Integrable Representations," SIAM J. Math. Anal. 27(2), 594-608 (1996).
    • (1996) SIAM J. Math. Anal. , vol.27 , Issue.2 , pp. 594-608
    • Bernier, D.1    Taylor, K.2
  • 6
    • 0025482241 scopus 로고
    • The wavelet transform, time-frequency localization and signal analysis
    • I. Daubechies, "The Wavelet Transform, Time-Frequency Localization and Signal Analysis," IEEE Trans. Inform. Theory 34(4), 961-1005 (1988).
    • (1988) IEEE Trans. Inform. Theory , vol.34 , Issue.4 , pp. 961-1005
    • Daubechies, I.1
  • 7
    • 0002566774 scopus 로고
    • A unified approach to atomic decompositions through integrable group representations
    • Function Spaces and Applications, edited by M. Cwikel et al., Springer, Berlin
    • H. G. Feichtinger and K.-H. Groechenig, "A Unified Approach to Atomic Decompositions through Integrable Group Representations," in Function Spaces and Applications, edited by M. Cwikel et al. (Lecture Notes in Mathematics 1302, Springer, Berlin, 1988), pp. 52-73.
    • (1988) Lecture Notes in Mathematics , vol.1302 , pp. 52-73
    • Feichtinger, H.G.1    Groechenig, K.-H.2
  • 8
    • 0024903928 scopus 로고
    • Continuous and discrete wavelet transforms
    • C. E. Heil and D. F. Walnut, "Continuous and Discrete Wavelet Transforms," SIAM Rev. 31(4), 628-666 (1989).
    • (1989) SIAM Rev. , vol.31 , Issue.4 , pp. 628-666
    • Heil, C.E.1    Walnut, D.F.2
  • 9
    • 0004116414 scopus 로고
    • McGraw-Hill, New York, 3rd ed.
    • See, for instance, 9.16 of W. Rudin, Real and Complex Analysis (McGraw-Hill, New York, 1987), 3rd ed.
    • (1987) Real and Complex Analysis
    • Rudin, W.1
  • 10
    • 84972544333 scopus 로고
    • Point realizations of transformation groups
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    • Mackey, G.W.1
  • 12
    • 0001101388 scopus 로고
    • Locally compact transformation groups
    • J. G. Glimm, "Locally Compact Transformation Groups," Trans. Am. Math. Soc. 101, 124-138 (1961).
    • (1961) Trans. Am. Math. Soc. , vol.101 , pp. 124-138
    • Glimm, J.G.1
  • 17
    • 0000670833 scopus 로고
    • Induced representations of locally compact groups, I
    • The existence of C is due to Lemma 1.1 of G. W. Mackey, "Induced Representations of Locally Compact Groups, I" Ann. Math. 55, 101-139 (1952).
    • (1952) Ann. Math. , vol.55 , pp. 101-139
    • Mackey, G.W.1
  • 18
    • 0001505484 scopus 로고
    • Square integrability of group representations on homogeneous spaces. I. Reproducing triples and frames
    • S. T. Ali, J.-P. Antoine, and J.-P. Gazeau, "Square Integrability of Group Representations on Homogeneous Spaces. I. Reproducing Triples and Frames," Ann. Inst. Henri Poincaré 55, 829-855 (1991).
    • (1991) Ann. Inst. Henri Poincaré , vol.55 , pp. 829-855
    • Ali, S.T.1    Antoine, J.-P.2    Gazeau, J.-P.3
  • 19
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    • Square integrability of group representations on homogeneous spaces. II. Coherent and quasi-coherent states. The case of the Poincaré Group
    • S. T. Ali, J.-P. Antoine, and J.-P. Gazeau, "Square Integrability of Group Representations on Homogeneous Spaces. II. Coherent and Quasi-coherent States. The Case of the Poincaré Group," Ann. Inst. Henri Poincaré 55, 857-890 (1991).
    • (1991) Ann. Inst. Henri Poincaré , vol.55 , pp. 857-890
    • Ali, S.T.1    Antoine, J.-P.2    Gazeau, J.-P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.