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Volumn 182, Issue 2, 2001, Pages 390-426

Sampling in Weighted Lp Spaces of Entire Functions in C n and Estimates of the Bergman Kernel

Author keywords

Bargmann space; Bergman kernel; Concentration operator; Fock space; Interpolation; Sampling; Toeplitz operator

Indexed keywords


EID: 0012898244     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.2000.3733     Document Type: Article
Times cited : (102)

References (18)
  • 1
    • 0040515339 scopus 로고    scopus 로고
    • Uniform estimates weights for the ∂-equation
    • Berndtsson B. Uniform estimates weights for the ∂-equation. J. Geom. Anal. 7:1997;195-215.
    • (1997) J. Geom. Anal. , vol.7 , pp. 195-215
    • Berndtsson, B.1
  • 2
    • 0011052991 scopus 로고
    • On interpolation and sampling in Hilbert spaces of analytic functions
    • Berndtsson B., Ortega-Cerdà J. On interpolation and sampling in Hilbert spaces of analytic functions. J. Reine Angew. Math. 464:1995;109-128.
    • (1995) J. Reine Angew. Math. , vol.464 , pp. 109-128
    • Berndtsson, B.1    Ortega-Cerdà, J.2
  • 3
    • 0039330027 scopus 로고
    • Convergence de la métrique de Fubini-Study d'un fibré linéaire positif
    • Bouche T. Convergence de la métrique de Fubini-Study d'un fibré linéaire positif. Ann. Inst. Fourier (Grenoble). 40:1990;117-130.
    • (1990) Ann. Inst. Fourier (Grenoble) , vol.40 , pp. 117-130
    • Bouche, T.1
  • 5
    • 84990557172 scopus 로고
    • Frames in the Bargmann space of entire functions
    • Daubechies I., Grossmann A. Frames in the Bargmann space of entire functions. Comm. Pure Appl. Math. 41:1988;151-164.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 151-164
    • Daubechies, I.1    Grossmann, A.2
  • 6
  • 8
    • 33846788313 scopus 로고
    • Theory of Functions on Complex Manifolds
    • Basel: Birkhäuser
    • Henkin G. M., Leiterer J. Theory of Functions on Complex Manifolds. Monographs in Mathematics. 79:1984;Birkhäuser, Basel.
    • (1984) Monographs in Mathematics , vol.79
    • Henkin, G.M.1    Leiterer, J.2
  • 11
    • 0002884848 scopus 로고
    • Necessary density conditions for sampling and interpolation of certain entire functions
    • Landau H. J. Necessary density conditions for sampling and interpolation of certain entire functions. Acta Math. 117:1967;37-52.
    • (1967) Acta Math. , vol.117 , pp. 37-52
    • Landau, H.J.1
  • 12
    • 84932847861 scopus 로고
    • Sampling, data transmission, and the Nyquist rate
    • Landau H. J. Sampling, data transmission, and the Nyquist rate. Proc. IEEE. 55:1967;1701-1706.
    • (1967) Proc. IEEE , vol.55 , pp. 1701-1706
    • Landau, H.J.1
  • 15
    • 0002321484 scopus 로고
    • Reproducing formulas and double orthogonality in Bargmann and Bergman spaces
    • Seip K. Reproducing formulas and double orthogonality in Bargmann and Bergman spaces. SIAM J. Math. Anal. 22:1991;856-876.
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 856-876
    • Seip, K.1
  • 16
    • 0001994272 scopus 로고
    • Density theorems for sampling and interpolation in the Bargmann-Fock space. I
    • Seip K. Density theorems for sampling and interpolation in the Bargmann-Fock space. I. J. Reine Angew. Math. 429:1992;91-106.
    • (1992) J. Reine Angew. Math. , vol.429 , pp. 91-106
    • Seip, K.1
  • 17
    • 0001994272 scopus 로고
    • Density theorems for sampling and interpolation in the Bargmann-Fock space, II
    • Seip K., Wallstén R. Density theorems for sampling and interpolation in the Bargmann-Fock space, II. J. Reine Angew. Math. 429:1992;107-113.
    • (1992) J. Reine Angew. Math. , vol.429 , pp. 107-113
    • Seip, K.1    Wallstén, R.2
  • 18
    • 0003151792 scopus 로고
    • On a set of polarized Kähler metrics on algebraic manifolds
    • Tian G. On a set of polarized Kähler metrics on algebraic manifolds. J. Differential Geom. 32:1990;99-130.
    • (1990) J. Differential Geom. , vol.32 , pp. 99-130
    • Tian, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.