메뉴 건너뛰기




Volumn 12, Issue 3, 2002, Pages 469-491

A unified characterization of reproducing systems generated by a finite family

Author keywords

affine systems; Gabor systems; shift invariant spaces; wavelets

Indexed keywords


EID: 0141637267     PISSN: 10506926     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02922050     Document Type: Article
Times cited : (43)

References (30)
  • 1
    • 0010562839 scopus 로고
    • Band-limited wavelets
    • 1248085
    • A. Bonami F. Soria G. Weiss 1993 Band-limited wavelets J. Geom. Anal. 3 6 544 578 1248085
    • (1993) J. Geom. Anal. , vol.3 , Issue.6 , pp. 544-578
    • Bonami, A.1    Soria, F.2    Weiss, G.3
  • 2
    • 0000571056 scopus 로고    scopus 로고
    • n)
    • 10.1006/acha.2000.0284 1743536 0961.42018
    • n) Appl. Comput. Harmon. Anal. 8 2 203 221 10.1006/acha.2000.0284 1743536 0961.42018
    • (2000) Appl. Comput. Harmon. Anal. , vol.8 , Issue.2 , pp. 203-221
    • Bownik, M.1
  • 3
    • 0000862578 scopus 로고    scopus 로고
    • n)
    • 10.1006/jfan.2000.3635 1795633 0986.46018
    • n) J. Funct. Anal 177 2 282 309 10.1006/jfan.2000.3635 1795633 0986.46018
    • (2000) J. Funct. Anal , vol.177 , Issue.2 , pp. 282-309
    • Bownik, M.1
  • 4
    • 0010597898 scopus 로고    scopus 로고
    • n)
    • 10.1090/S0002-9939-01-05942-1 1845001 0979.42021
    • n) Proc. Am. Math. Soc. 129 3265 3274 10.1090/S0002-9939-01-05942-1 1845001 0979.42021
    • (2001) Proc. Am. Math. Soc. , vol.129 , pp. 3265-3274
    • Bownik, M.1
  • 5
    • 0013245195 scopus 로고    scopus 로고
    • A Characterization of wavelets on general lattices
    • 1817777 1057.42025
    • A. Calogero 2000 A Characterization of wavelets on general lattices J. Geom. Anal. 10 4 597 622 1817777 1057.42025
    • (2000) J. Geom. Anal. , vol.10 , Issue.4 , pp. 597-622
    • Calogero, A.1
  • 6
    • 0005596698 scopus 로고    scopus 로고
    • Classifying Tight Weyl-Heisenberg Frames, the functional and harmonic analysis of wavelets and frames, (San Antonio, TX, 1999)
    • 1738088
    • P. Casazza O. Christensen A.J.E.M. Janssen 1999 Classifying Tight Weyl-Heisenberg Frames, The functional and harmonic analysis of wavelets and frames, (San Antonio, TX, 1999) Contemp. Math. 247 131 148 1738088
    • (1999) Contemp. Math. , vol.247 , pp. 131-148
    • Casazza, P.1    Christensen, O.2    Janssen, A.J.E.M.3
  • 7
    • 84867987531 scopus 로고    scopus 로고
    • Characterization of general tight wavelets frames with matriz dilations and tightness preserving oversampling
    • to appear
    • Chui, C.; Czaja, W.; Maggioni, M.; and Weiss, G. Characterization of general tight wavelets frames with matriz dilations and tightness preserving oversampling,J. Fourier Anal Appl.; to appear, (2001).
    • (2001) J. Fourier Anal Appl.
    • Chui, C.1    Czaja, W.2    Maggioni, M.3    Weiss, G.4
  • 8
    • 0032342650 scopus 로고    scopus 로고
    • Affine frames, quasi-affine frames and their duals
    • 10.1023/A:1018975725857 0892.42019
    • C. Chui X. Shi J. Stöckler 1998 Affine frames, quasi-affine frames and their duals Adv. Comp. Math. 8 1 17 10.1023/A:1018975725857 0892.42019
    • (1998) Adv. Comp. Math. , vol.8 , pp. 1-17
    • Chui, C.1    Shi, X.2    Stöckler, J.3
  • 9
    • 40449137132 scopus 로고    scopus 로고
    • Characterizations of Gabor systems via the Fourier transform
    • 1776832 0966.42021
    • W. Czaja 2000 Characterizations of Gabor systems via the Fourier transform Collect. Math. 51 2 205 224 1776832 0966.42021
    • (2000) Collect. Math. , vol.51 , Issue.2 , pp. 205-224
    • Czaja, W.1
  • 10
    • 0003833285 scopus 로고
    • SIAM Philadelphia 0776.42018
    • Daubechies, I.Ten Lectures on Wavelets, CBMS-NSF Regional Conference Series in Applied mathematics, Vol. 61, SIAM, Philadelphia, (1992).
    • (1992) Ten Lectures on Wavelets
    • Daubechies, I.1
  • 11
    • 0001196089 scopus 로고
    • A simple Wilson ortonormal basis with exponential decay
    • 10.1137/0522035 1084973 0754.46016
    • I. Daubechies S. Jaffard J. Journès 1991 A simple Wilson ortonormal basis with exponential decay SIAM J. Math. Anal 22 554 572 10.1137/0522035 1084973 0754.46016
    • (1991) SIAM J. Math. Anal , vol.22 , pp. 554-572
    • Daubechies, I.1    Jaffard, S.2    Journès, J.3
  • 12
    • 84951609541 scopus 로고
    • Gabor time-frequency lattices and the Wexler-Raz identity
    • 10.1007/s00041-001-4018-3 1350701 0888.47018
    • I. Daubechies H. Landau Z. Landau 1995 Gabor time-frequency lattices and the Wexler-Raz identity J. Fourier Anal. Appl. 1 437 478 10.1007/s00041-001- 4018-3 1350701 0888.47018
    • (1995) J. Fourier Anal. Appl. , vol.1 , pp. 437-478
    • Daubechies, I.1    Landau, H.2    Landau, Z.3
  • 14
    • 84968468760 scopus 로고
    • A class of nonharmonic Fourier series
    • 10.2307/1990760 47179 0049.32401
    • R.J. Duffin A.C. Schaeffer 1952 A class of nonharmonic Fourier series Trans. Am. Math. Soc. 72 341 366 10.2307/1990760 47179 0049.32401
    • (1952) Trans. Am. Math. Soc. , vol.72 , pp. 341-366
    • Duffin, R.J.1    Schaeffer, A.C.2
  • 15
    • 1842729667 scopus 로고    scopus 로고
    • A characterization of functions that generate wavelets and related expansions
    • 10.1007/BF02656493 1600215 0896.42022
    • M. Frazier G. Garrigós K. Wang G. Weiss 1997 A characterization of functions that generate wavelets and related expansions J. Fourier Anal. Appl. 3 883 906 10.1007/BF02656493 1600215 0896.42022
    • (1997) J. Fourier Anal. Appl. , vol.3 , pp. 883-906
    • Frazier, M.1    Garrigós, G.2    Wang, K.3    Weiss, G.4
  • 16
    • 1542713116 scopus 로고    scopus 로고
    • Affine, quasi-affine and co-affine and wavelets
    • Stöckler, J. and Welland, G.V.; Eds.; Academic Press
    • Gressman, P.; Labate, D.; Weiss, G.; and Wilson, E.N. Affine, quasi-affine and co-affine and wavelets, inBeyond Wavelets, Stöckler, J. and Welland, G.V.; Eds.; Academic Press, (2001)
    • (2001) Beyond Wavelets
    • Gressman, P.1    Labate, D.2    Weiss, G.3    Wilson E., .N.4
  • 17
    • 0001715467 scopus 로고
    • Self-similar lattice tilings
    • 10.1007/s00041-001-4007-6
    • K. Gröchenig A. Haas 1994 Self-similar lattice tilings J. Fourier Anal. Appl. 2 131 170 10.1007/s00041-001-4007-6
    • (1994) J. Fourier Anal. Appl. , vol.2 , pp. 131-170
    • Gröchenig, K.1    Haas, A.2
  • 18
    • 0024903928 scopus 로고
    • Continuous and discrete wavelet transforms
    • 10.1137/1031129 1025485 0683.42031
    • C. Heil D. Walnut 1989 Continuous and discrete wavelet transforms SIAM Rev. 31 4 628 666 10.1137/1031129 1025485 0683.42031
    • (1989) SIAM Rev. , vol.31 , Issue.4 , pp. 628-666
    • Heil, C.1    Walnut, D.2
  • 21
    • 0028497411 scopus 로고
    • Signal analystic proofs of two basic results on lattice expansions
    • 10.1006/acha.1994.1021 0834.42019
    • A.J.E.M. Janssen 1994 Signal analystic proofs of two basic results on lattice expansions Appl. Comput. Harm. Anal. 1 350 354 10.1006/acha.1994.1021 0834.42019
    • (1994) Appl. Comput. Harm. Anal. , vol.1 , pp. 350-354
    • Janssen, A.J.E.M.1
  • 22
    • 84951608719 scopus 로고
    • Duality and biorthogonality for Weyl-Heisenberg frames
    • A.J.E.M. Janssen 1995 Duality and biorthogonality for Weyl-Heisenberg frames J. Fourier Anal. Appl. 4 403 436
    • (1995) J. Fourier Anal. Appl. , vol.4 , pp. 403-436
    • Janssen, A.J.E.M.1
  • 23
    • 0002293059 scopus 로고    scopus 로고
    • The duality condition for Weyl-Heisenberg frames
    • H.G. Feichtinger T. Ströhmer (eds). Birkhäuser Boston
    • Janssen, A.J.E.M. The duality condition for Weyl-Heisenberg frames, inGabor Analysis and Algorithms: Theory and Applications, Feichtinger, H.G.; and Ströhmer, T.; Eds.; Birkhäuser, Boston, 33-84, (1998).
    • (1998) Gabor Analysis and Algorithms: Theory and Applications , pp. 33-84
    • Janssen, A.J.E.M.1
  • 24
    • 0000295649 scopus 로고
    • Von Neumann algebras associated with pair of lattices in Lie groups
    • 10.1007/BF01465863 639575 0486.22004
    • M.A. Rieffel 1981 Von Neumann algebras associated with pair of lattices in Lie groups Math. Ann. 257 403 418 10.1007/BF01465863 639575 0486.22004
    • (1981) Math. Ann. , vol.257 , pp. 403-418
    • Rieffel, M.A.1
  • 25
  • 26
    • 0000371437 scopus 로고    scopus 로고
    • d)
    • 10.1215/S0012-7094-97-08913-4 1460623 0892.42017
    • d) Duke Math. J. 89 237 282 10.1215/S0012-7094-97- 08913-4 1460623 0892.42017
    • (1997) Duke Math. J. , vol.89 , pp. 237-282
    • Ron, A.1    Shen, Z.2
  • 27
    • 0031571549 scopus 로고    scopus 로고
    • d): The analysis of the analysis operator
    • 10.1006/jfan.1996.3079 1469348 0891.42018
    • d): The analysis of the analysis operator J. Funct. Anal. 148 408 447 10.1006/jfan.1996.3079 1469348 0891.42018
    • (1997) J. Funct. Anal. , vol.148 , pp. 408-447
    • Ron, A.1    Shen, Z.2
  • 28
    • 0242504924 scopus 로고    scopus 로고
    • Calderón's condition and wavelets
    • Rzeszotnik, Z. Calderón's condition and wavelets,Collect. Math.,52(2), (2001).
    • (2001) Collect. Math. , vol.52 , Issue.2
    • Rzeszotnik, Z.1
  • 29
    • 0025519408 scopus 로고
    • Discrete Gabor expansions
    • 10.1016/0165-1684(90)90087-F
    • J. Wexler S. Raz 1990 Discrete Gabor expansions Signal Processing 21 207 221 10.1016/0165-1684(90)90087-F
    • (1990) Signal Processing , vol.21 , pp. 207-221
    • Wexler, J.1    Raz, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.