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Volumn 43, Issue 4, 2001, Pages 585-620

Nonuniform sampling and reconstruction in shift-invariant spaces

Author keywords

Amalgam spaces; Frame; Irregular sampling; Nonuniform sampling; Reconstruction; Reproducing kernel Hilbert space; Sampling; Shift invariant spaces; Wavelets; Weighted LP spaces

Indexed keywords

ALGORITHMS; DATA ACQUISITION; FOURIER TRANSFORMS; LEAST SQUARES APPROXIMATIONS; THEOREM PROVING; WAVELET TRANSFORMS;

EID: 0035570177     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036144501386986     Document Type: Review
Times cited : (640)

References (119)
  • 38
    • 0006278741 scopus 로고
    • Harmonic analysis based on certain commutative Banach algebras
    • (1956) Acta Math. , vol.96 , pp. 1-66
    • Domar, Y.1
  • 44
    • 0001267371 scopus 로고
    • New results on regular and irregular sampling based on Wiener amalgams
    • Proc. Conf. Function Spaces, K. Jarosz, ed., Springer-Verlag, New York
    • (1991) Lecture Notes in Math. , vol.136 , pp. 107-121
    • Feichtinger, H.G.1
  • 45
    • 0037490442 scopus 로고
    • Wiener amalgams over Euclidean spaces and some of their applications
    • Proc. Conf. Function Spaces, K. Jarosz, ed., Springer-Verlag, New York
    • (1991) Lecture Notes in Math. , vol.136 , pp. 123-137
    • Feichtinger, H.G.1
  • 65
    • 0017558676 scopus 로고
    • The Shannon sampling theorem - Its various extensions and applications: A tutorial review
    • (1977) Proc. IEEE , vol.65 , pp. 1565-1596
    • Jerri, A.1
  • 74
    • 0002884848 scopus 로고
    • Necessary density conditions for sampling and interpolation of certain entire functions
    • (1967) Acta Math. , vol.117 , pp. 37-52
    • Landau, H.1
  • 81
    • 0024700097 scopus 로고
    • A theory for multiresolution signal decomposition: The wavelet representation
    • (1989) IEEE Trans. PAMI , vol.11 , pp. 674-693
    • Mallat, S.1
  • 93
    • 0023425008 scopus 로고
    • An irregular sampling theorem for functions bandlimited in a generalized sense
    • (1987) SIAM J. Appl. Math. , vol.47 , pp. 1112-1116
    • Seip, K.1
  • 99
    • 0024921922 scopus 로고
    • Wavelets and dilation equations: A brief introduction
    • (1989) SIAM Rev. , vol.31 , pp. 614-627
    • Strang, G.1
  • 104
  • 117
    • 0000687222 scopus 로고
    • Applications of reproducing kernel Hilbert spaces - Bandlimited signal models
    • (1967) Inform. and Control , vol.11 , pp. 429-444
    • Yao, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.