메뉴 건너뛰기




Volumn 22, Issue 3, 2005, Pages 395-415

Intrinsic localization of frames

Author keywords

Banach frame; Banach algebras; Frame; Gram matrix; Localization principle; Nonuniform Gabor frame; Pseudoinverse; Spectral invariance

Indexed keywords


EID: 23944464123     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00365-004-0592-3     Document Type: Article
Times cited : (94)

References (33)
  • 6
    • 0035606214 scopus 로고    scopus 로고
    • Adaptive wavelet method for elliptic operator equation - Convergence rates
    • A. COHEN, W. DAHMEN, R. DEVORE (2001): Adaptive wavelet method for elliptic operator equation - Convergence rates. Math. Comp., 70:27-75.
    • (2001) Math. Comp. , vol.70 , pp. 27-75
    • Cohen, A.1    Dahmen, W.2    Devore, R.3
  • 7
    • 0347937165 scopus 로고    scopus 로고
    • Adaptive wavelet methods II - Beyond the elliptic case
    • A. COHEN, W. DAHMEN, R. DEVORE (2002): Adaptive wavelet methods II - Beyond the elliptic case. Found. Comput. Math., 2(3):203-245.
    • (2002) Found. Comput. Math. , vol.2 , Issue.3 , pp. 203-245
    • Cohen, A.1    Dahmen, W.2    Devore, R.3
  • 8
    • 0004252602 scopus 로고
    • A Course in Functional Analysis, 2nd ed
    • New York: Springer-Verlag
    • J. B. CONWAY (1990): A Course in Functional Analysis, 2nd ed. Graduate Texts in Mathematics, Vol. 96. New York: Springer-Verlag.
    • (1990) Graduate Texts in Mathematics , vol.96
    • Conway, J.B.1
  • 11
    • 36549090598 scopus 로고
    • Painless nonorthogonal expansions
    • I. DAUBECHIES, A. GROSSMANN, Y. MEYER (1986): Painless nonorthogonal expansions. J. Math. Phys., 27(5):1271-1283.
    • (1986) J. Math. Phys. , vol.27 , Issue.5 , pp. 1271-1283
    • Daubechies, I.1    Grossmann, A.2    Meyer, Y.3
  • 12
    • 0347544077 scopus 로고    scopus 로고
    • Reconstruction of bandlimited function from very coarsely quantized data: A family of stable sigma-delta modulators of arbitrary order
    • R. DEVORE, I. DAUBECHIES (2003): Reconstruction of bandlimited function from very coarsely quantized data: A family of stable sigma-delta modulators of arbitrary order. Ann. of Math., 158(2):679-710
    • (2003) Ann. of Math. , vol.158 , Issue.2 , pp. 679-710
    • Devore, R.1    Daubechies, I.2
  • 13
    • 0039439070 scopus 로고    scopus 로고
    • Some remarks on greedy algorithms
    • R. A. DEVORE, V. N. TEMLYAKOV (1996): Some remarks on greedy algorithms. Adv. Comput. Math., 5(2-3):173-187.
    • (1996) Adv. Comput. Math. , vol.5 , Issue.2-3 , pp. 173-187
    • Devore, R.A.1    Temlyakov, V.N.2
  • 17
    • 0001242228 scopus 로고
    • Banach spaces related to integrable group representations and their atomic decompositions
    • H. G. FEICHTINGER, K. GRÖCHENIG (1989): Banach spaces related to integrable group representations and their atomic decompositions. I. J. Funct. Anal., 86(2):307-340.
    • (1989) I. J. Funct. Anal. , vol.86 , Issue.2 , pp. 307-340
    • Feichtinger, H.G.1    Gröchenig, K.2
  • 18
    • 0031161747 scopus 로고    scopus 로고
    • Gabor frames and time-frequency analysis of distributions
    • H. G. FEICHTINGER, K. GRÖCHENIG (1997): Gabor frames and time-frequency analysis of distributions. J. Funct. Anal., 146(2):464-495.
    • (1997) J. Funct. Anal. , vol.146 , Issue.2 , pp. 464-495
    • Feichtinger, H.G.1    Gröchenig, K.2
  • 21
    • 23944503741 scopus 로고    scopus 로고
    • Preprint 10/2004. Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate. Università di Roma "La Sapienza"
    • M. FORNASIER (2004): Banach frames for α-modulation spaces. Preprint 10/2004. Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate. Università di Roma "La Sapienza".
    • (2004) Banach Frames for α-Modulation Spaces
    • Fornasier, M.1
  • 22
    • 0001281362 scopus 로고
    • Decomposition of Besov spaces
    • M. FRAZIER, B. JAWERTH (1985): Decomposition of Besov spaces. Indiana Univ. Math. J., 34(4):777-799.
    • (1985) Indiana Univ. Math. J. , vol.34 , Issue.4 , pp. 777-799
    • Frazier, M.1    Jawerth, B.2
  • 26
    • 2442697562 scopus 로고    scopus 로고
    • Localization of frames, Banach frames, and the invertibility of the frame operator
    • K. GRÖCHENIG (2004): Localization of frames, Banach frames, and the invertibility of the frame operator. J. Fourier Anal. Appl., 10(2): 105-132.
    • (2004) J. Fourier Anal. Appl. , vol.10 , Issue.2 , pp. 105-132
    • Gröchenig, K.1
  • 27
    • 0346494950 scopus 로고    scopus 로고
    • Localization of frames
    • K. GRÖCHENIG (2003): Localization of frames. Adv. Comput. Math., 18:149-157.
    • (2003) Adv. Comput. Math. , vol.18 , pp. 149-157
    • Gröchenig, K.1
  • 28
    • 30844456696 scopus 로고
    • Describing functions: Atomic decompositions versus frames
    • K. GRÖCHENIG (1991): Describing functions: Atomic decompositions versus frames. Monatsh. Math., 112(1):l-42.
    • (1991) Monatsh. Math. , vol.112 , Issue.1
    • Gröchenig, K.1
  • 29
    • 23944519848 scopus 로고    scopus 로고
    • Symmetry of matrix algebras and symbolic calculus for infinite matrices
    • to appear
    • K. GRÖCHENIG, M. LEINERT (to appear): Symmetry of matrix algebras and symbolic calculus for infinite matrices. Trans. Amer. Math. Soc.
    • Trans. Amer. Math. Soc.
    • Gröchenig, K.1    Leinert, M.2
  • 30
    • 0007197031 scopus 로고
    • Propriétés des matrices "bien localisées" près de leur diagonale et quelques applications
    • S. JAFFARD (1990): Propriétés des matrices "bien localisées" près de leur diagonale et quelques applications. Ann. Inst. H. Poincaré Anal. Non Linéaire, 7(5):461-476.
    • (1990) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.7 , Issue.5 , pp. 461-476
    • Jaffard, S.1
  • 31
    • 0348014993 scopus 로고
    • On the spectrum of convolution operators on groups with polynomial growth
    • A. HULANICKI (1972): On the spectrum of convolution operators on groups with polynomial growth. Invent. Math., 17:135-142.
    • (1972) Invent. Math. , vol.17 , pp. 135-142
    • Hulanicki, A.1
  • 32
    • 33744770563 scopus 로고
    • Centre de Mathematiques, Ecole Polytechnique. Palaiseau France, Séminaire 1994-1995, Décembre 1994
    • J. SJÖSTRAND (1994): Wiener-Type Algebras of Pseudodifferential Operators. Centre de Mathematiques, Ecole Polytechnique. Palaiseau France, Séminaire 1994-1995, Décembre 1994.
    • (1994) Wiener-type Algebras of Pseudodifferential Operators
    • Sjöstrand, J.1
  • 33
    • 3142699133 scopus 로고    scopus 로고
    • Adaptive solution of operator equations using wavelet frames
    • R. STEVENSON (2003): Adaptive solution of operator equations using wavelet frames. SIAM J. Numer. Anal., 41(3):1074-1100.
    • (2003) SIAM J. Numer. Anal. , vol.41 , Issue.3 , pp. 1074-1100
    • Stevenson, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.