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Volumn 97, Issue 1-2, 2002, Pages 55-95

Ingham-Beurling type theorems with weakened gap conditions

Author keywords

Fourier transform; Nonharmonic analysis; Observability; Riesz basis; Wave equation

Indexed keywords


EID: 0036811995     PISSN: 02365294     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020806811956     Document Type: Article
Times cited : (56)

References (35)
  • 2
    • 0001774726 scopus 로고    scopus 로고
    • Ingham type theorems and applications to control theory
    • Febbraio
    • C. Baiocchi, V. Komornik and P. Loreti, Ingham type theorems and applications to control theory, Boll. Un. Mat. Ital. B (8), II-B, n. 1, Febbraio 1999, 33-63.
    • (1999) Boll. Un. Mat. Ital. B (8) , vol.II-B , Issue.1 , pp. 33-63
    • Baiocchi, C.1    Komornik, V.2    Loreti, P.3
  • 3
    • 0034651353 scopus 로고    scopus 로고
    • Généralisation d'un théorème de Beurling et application à la théorie du contrôle
    • C. Baioechi, V. Komornik and P. Loreti, Généralisation d'un théorème de Beurling et application à la théorie du contrôle, C.R. Acad. Sci. Paris Sér. I Math., 330 (2000), 281-286.
    • (2000) C.R. Acad. Sci. Paris Sér. I Math. , vol.330 , pp. 281-286
    • Baioechi, C.1    Komornik, V.2    Loreti, P.3
  • 5
    • 0000362749 scopus 로고    scopus 로고
    • Une remarque sur les séries de Fourier non-harmoniques et son application à la contrôlabilité des cordes avec densité singulière
    • Castro and E. Zuazua, Une remarque sur les séries de Fourier non-harmoniques et son application à la contrôlabilité des cordes avec densité singulière, C.R. Acad. Sci. Paris Sér. I, 322 (1996), 365-370.
    • (1996) C.R. Acad. Sci. Paris Sér. I , vol.322 , pp. 365-370
    • Castro1    Zuazua, E.2
  • 7
    • 0016431548 scopus 로고
    • Boundary value control of the wave equation in a spherical region
    • K.D. Graham and D.L. Russell, Boundary value control of the wave equation in a spherical region, SIAM J. Control, 13 (1975), 174-196.
    • (1975) SIAM J. Control , vol.13 , pp. 174-196
    • Graham, K.D.1    Russell, D.L.2
  • 8
    • 0000089068 scopus 로고
    • Séries lacunaires et contrôle semi-interne des vibrations d'une plaque rectangulaire
    • A. Haraux, Séries lacunaires et contrôle semi-interne des vibrations d'une plaque rectangulaire, J. Math. Pures Appl., 68 (1989), 457-465.
    • (1989) J. Math. Pures Appl. , vol.68 , pp. 457-465
    • Haraux, A.1
  • 9
    • 0000526079 scopus 로고
    • Some trigonometrical inequalities with applications in the theory of series
    • A.E. Ingham, Some trigonometrical inequalities with applications in the theory of series, Math. Z., 41 (1936), 367-379.
    • (1936) Math. Z. , vol.41 , pp. 367-379
    • Ingham, A.E.1
  • 12
    • 0000417698 scopus 로고    scopus 로고
    • Singular internal stabilization of the wave equation
    • S. Jaffard, M. Tucsnak et E. Zuazua, Singular internal stabilization of the wave equation, J. Differential Equations, 145 (1998), 1, 184-215.
    • (1998) J. Differential Equations , vol.145 , Issue.1 , pp. 184-215
    • Jaffard, S.1    Tucsnak, M.2    Zuazua, E.3
  • 13
    • 0002212105 scopus 로고
    • Pseudo-périodicité et séries de Fourier lacunaires
    • J.-P. Kahane, Pseudo-périodicité et séries de Fourier lacunaires, Ann. Sci. de l'E.N.S., 79 (1962), 93-150.
    • (1962) Ann. Sci. de l'E.N.S. , vol.79 , pp. 93-150
    • Kahane, J.-P.1
  • 15
    • 0032201671 scopus 로고    scopus 로고
    • Ingham type theorems for vector-valued functions and observability of coupled linear systems
    • V. Komornik and P. Loreti, Ingham type theorems for vector-valued functions and observability of coupled linear systems, SIAM J. Control Optim., 37 (1998), 461-485.
    • (1998) SIAM J. Control Optim. , vol.37 , pp. 461-485
    • Komornik, V.1    Loreti, P.2
  • 16
    • 0034346741 scopus 로고    scopus 로고
    • Partial observability of coupled linear systems
    • V. Komornik and P. Loreti, Partial observability of coupled linear systems, Acta Math. Hungar., 86 (2000), 49-74.
    • (2000) Acta Math. Hungar. , vol.86 , pp. 49-74
    • Komornik, V.1    Loreti, P.2
  • 17
    • 0034652889 scopus 로고    scopus 로고
    • Observability of compactly perturbed systems
    • V. Komornik and P. Loreti, Observability of compactly perturbed systems, J. Math. Anal. Appl., 243 (2000), 409-428.
    • (2000) J. Math. Anal. Appl. , vol.243 , pp. 409-428
    • Komornik, V.1    Loreti, P.2
  • 18
    • 0003221008 scopus 로고
    • On moment theory and controllability of one-dimensional vibrating systems and heating processes
    • Springer-Verlag (Berlin)
    • W. Krabs, On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes, Lecture Notes Control Information Sciences, vol. 173, Springer-Verlag (Berlin, 1992).
    • (1992) Lecture Notes Control Information Sciences , vol.173
    • Krabs, W.1
  • 19
    • 0001040417 scopus 로고
    • Uniform stabilization of a nonlinear beam by nonlinear boundary feedback
    • J.L. Lagnese and G. Leugering, Uniform stabilization of a nonlinear beam by nonlinear boundary feedback, J. Diff. Equations, 91 (1991), 355-388.
    • (1991) J. Diff. Equations , vol.91 , pp. 355-388
    • Lagnese, J.L.1    Leugering, G.2
  • 20
    • 0002884848 scopus 로고
    • Necessary density conditions for sampling and interpolation of certain entire functions
    • H.J. Landau, 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
  • 23
    • 0023966723 scopus 로고
    • Exact controllability, stabilizability, and perturbations for distributed systems
    • J.-L. Lions, Exact controllability, stabilizability, and perturbations for distributed systems, Siam Rev., 30 (1988), 1-68.
    • (1988) Siam Rev. , vol.30 , pp. 1-68
    • Lions, J.-L.1
  • 25
    • 0031094290 scopus 로고    scopus 로고
    • Partial exact controllability for spherical membranes
    • P. Loreti and V. Valente, Partial exact controllability for spherical membranes, SIAM J. Control Optim., 35 (1997), 641-653.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 641-653
    • Loreti, P.1    Valente, V.2
  • 28
    • 0003309315 scopus 로고
    • Fourier transforms in the complex domain
    • Amer. Math. Soc. (New York)
    • R.E.A.C. Paley and N. Wiener, Fourier Transforms in the Complex Domain, Amer. Math. Soc. Colloq. Publ., Vol. 19, Amer. Math. Soc. (New York, 1934).
    • (1934) Amer. Math. Soc. Colloq. Publ. , vol.19
    • Paley, R.E.A.C.1    Wiener, N.2
  • 30
    • 0000820706 scopus 로고
    • Controllability and stabilizability theory for linear partial differential equations. Recent progress and open questions
    • D.L. Russell, Controllability and stabilizability theory for linear partial differential equations. Recent progress and open questions, SIAM Rev., 20 (1978), 639-739.
    • (1978) SIAM Rev. , vol.20 , pp. 639-739
    • Russell, D.L.1
  • 31
    • 0001454791 scopus 로고
    • On the connection between exponential bases and certain related sequences in 12(-π, π)
    • K. Seip, On the connection between exponential bases and certain related sequences in 12(-π, π), J. Funct. Anal., 130 (1995), 131-160.
    • (1995) J. Funct. Anal. , vol.130 , pp. 131-160
    • Seip, K.1
  • 33
    • 84966260633 scopus 로고
    • Divided differences and systems of nonharmonic Fourier series
    • D. Ullrich, Divided differences and systems of nonharmonic Fourier series, Proc. Amer. Math. Soc., 80 (1980), 47-57.
    • (1980) Proc. Amer. Math. Soc. , vol.80 , pp. 47-57
    • Ullrich, D.1


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