메뉴 건너뛰기




Volumn 22, Issue 1, 2005, Pages 47-65

The spectral theory of toeplitz operators applied to approximation problems in hilbert spaces

Author keywords

Constrained approximation; Extremal problems; Hardy spaces; Paley Wiener spaces; Segal Bargmann spaces; Toeplitz operators

Indexed keywords


EID: 17444393604     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00365-004-0591-4     Document Type: Article
Times cited : (8)

References (30)
  • 1
    • 0011008847 scopus 로고
    • Toeplitz operators in multiply connected regions
    • M. B. ABRAHAMSE (1974): Toeplitz operators in multiply connected regions. Amer. J. Math., 96(2):261-297.
    • (1974) Amer. J. Math. , vol.96 , Issue.2 , pp. 261-297
    • Abrahamse, M.B.1
  • 2
    • 0003032922 scopus 로고
    • Some extremal problems linked with identification from partial frequency data
    • The 10th Conference on Analysis and Optimization of Systems, Sophia-Antipolis 1992 (J. L. Lions, R. F. Curtain, A. Bensoussan, eds.). Berlin: Springer-Verlag
    • D. ALPAY, L. BARATCHART, J. LEBLOND (1993): Some extremal problems linked with identification from partial frequency data. In: The 10th Conference on Analysis and Optimization of Systems, Sophia-Antipolis 1992 (J. L. Lions, R. F. Curtain, A. Bensoussan, eds.). Lecture Notes in Control and Information Science, Vol. 185, pp. 563-573. Berlin: Springer-Verlag.
    • (1993) Lecture Notes in Control and Information Science , vol.185 , pp. 563-573
    • Alpay, D.1    Baratchart, L.2    Leblond, J.3
  • 4
    • 0002068643 scopus 로고    scopus 로고
    • p functions on subsets of the circle with 1 ≤ p < ∞
    • p functions on subsets of the circle with 1 ≤ p < ∞. Constr. Approx., 14:42-56.
    • (1998) Constr. Approx. , vol.14 , pp. 42-56
    • Baratchart, L.1    Leblond, J.2
  • 5
    • 0001862962 scopus 로고    scopus 로고
    • How can mewmorphic approximation help to solve some 2D inverse problems for the Laplacian?
    • L. BARATCHART, J. LEBLOND, F. MANDRÉA, E. B. SAFE (1999): How can mewmorphic approximation help to solve some 2D inverse problems for the Laplacian? Inverse Problems, 15:79-90.
    • (1999) Inverse Problems , vol.15 , pp. 79-90
    • Baratchart, L.1    Leblond, J.2    Mandréa, F.3    Safe, E.B.4
  • 7
    • 0034343543 scopus 로고    scopus 로고
    • Problems of Adamjan-Arov-Krein type on subsets of the circle and minimal norm extensions
    • L. BARATCHART, J. LEBLOND, J. R. PARTINGTON (2000): Problems of Adamjan-Arov-Krein type on subsets of the circle and minimal norm extensions. Constr. Approx., 16:333-357.
    • (2000) Constr. Approx. , vol.16 , pp. 333-357
    • Baratchart, L.1    Leblond, J.2    Partington, J.R.3
  • 8
    • 84980077803 scopus 로고
    • On a Hilbert space of analytic functions and an associated integral transform, Part I
    • V. BARGMANN (1961): On a Hilbert space of analytic functions and an associated integral transform, Part I. Comm. Pure Appl. Math., 14:187-214.
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 187-214
    • Bargmann, V.1
  • 9
    • 0036683946 scopus 로고    scopus 로고
    • Line segment crack recovery from incomplete boundary data
    • A. BEN ABDA, M. KALLEL, J. LEBLOND, J.-P. MARMORAT (2002): Line segment crack recovery from incomplete boundary data. Inverse Problems, 18(4):1057-1077.
    • (2002) Inverse Problems , vol.18 , Issue.4 , pp. 1057-1077
    • Ben Abda, A.1    Kallel, M.2    Leblond, J.3    Marmorat, J.-P.4
  • 10
    • 0001171350 scopus 로고
    • Toeplitz operators and quantum mechanics
    • C. A. BERGER, L. A. COBURN (1986): Toeplitz operators and quantum mechanics. J. Funct. Anal., 68:273-299.
    • (1986) J. Funct. Anal. , vol.68 , pp. 273-299
    • Berger, C.A.1    Coburn, L.A.2
  • 11
    • 0000446701 scopus 로고    scopus 로고
    • Approximation problems and representations of Hardy spaces in circular domains
    • I. CHALENDAR, J. R. PARTINGTON (1999): Approximation problems and representations of Hardy spaces in circular domains. Studia Math., 136:255-269.
    • (1999) Studia Math. , vol.136 , pp. 255-269
    • Chalendar, I.1    Partington, J.R.2
  • 12
    • 0038629604 scopus 로고    scopus 로고
    • Approximation problems in some holomorphic spaces, with applications
    • Systems, Approximation Singular Integral Operators, and Related Topics, (A. A. Borichev, N. K. Nikolskii, eds.), Boston, MA: Birkhäuser
    • I. CHALENDAR, J. LEBLOND, J. R. PARTINGTON (2001): Approximation problems in some holomorphic spaces, with applications. In: Systems, Approximation Singular Integral Operators, and Related Topics, Proceedings of IWOTA 2000 (A. A. Borichev, N. K. Nikolskii, eds.), pp. 143-168. Boston, MA: Birkhäuser.
    • (2001) Proceedings of IWOTA 2000 , pp. 143-168
    • Chalendar, I.1    Leblond, J.2    Partington, J.R.3
  • 18
    • 0013010890 scopus 로고    scopus 로고
    • Constrained approximation and interpolation in Hilbert function spaces
    • J. LEBLOND, J. R. PARTINGTON (1999): Constrained approximation and interpolation in Hilbert function spaces. J. Math. Anal. Appl., 234:500-513.
    • (1999) J. Math. Anal. Appl. , vol.234 , pp. 500-513
    • Leblond, J.1    Partington, J.R.2
  • 20
    • 0036776385 scopus 로고    scopus 로고
    • Weighted Paley-Wiener spaces
    • (electronic)
    • Y. I. LYUBARSKII, K. SEIP (2002): Weighted Paley-Wiener spaces, J. Amer. Math. Soc., 15:979-1006 (electronic).
    • (2002) J. Amer. Math. Soc. , vol.15 , pp. 979-1006
    • Lyubarskii, Y.I.1    Seip, K.2
  • 24
    • 0007433110 scopus 로고
    • Toeplitz and Hankel operators on the Paley-Wiener space
    • R. ROCHBERG (1987): Toeplitz and Hankel operators on the Paley-Wiener space. Integral Equations Operator Theory, 10:187-235.
    • (1987) Integral Equations Operator Theory , vol.10 , pp. 187-235
    • Rochberg, R.1
  • 27
    • 84939751170 scopus 로고
    • Prolate spheroidal wave functions, Fourier analysis and uncertainty -I
    • D. SLEPIAN, H. O. POLLAK. (1961): Prolate spheroidal wave functions, Fourier analysis and uncertainty -I. Bell Syst. Tech. J., 40(1):43-63.
    • (1961) Bell Syst. Tech. J. , vol.40 , Issue.1 , pp. 43-63
    • Slepian, D.1    Pollak, H.O.2
  • 28
    • 0038309269 scopus 로고    scopus 로고
    • Constrained approximation in Danach spaces
    • M. P. SMITH (2003): Constrained approximation in Danach spaces. Constr. Approx., 19:465-476.
    • (2003) Constr. Approx. , vol.19 , pp. 465-476
    • Smith, M.P.1
  • 29
    • 2442600547 scopus 로고    scopus 로고
    • The reproducing kernel thesis for Toeplitz operators on the Paley-Wiener space
    • M. P. SMITH (2004): The reproducing kernel thesis for Toeplitz operators on the Paley-Wiener space. Integral Equations Operator Theory, 49:111-122.
    • (2004) Integral Equations Operator Theory , vol.49 , pp. 111-122
    • Smith, M.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.