On the Spectral Theory of Generalized Toeplitz Kernels
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We give a criterion for the denseness of the Fourier transform in the space L2 associated with spectral representation of positive-definite Toeplitz kernels.
KeywordsSpectral Representation Toeplitz Kernel Generalize Toeplitz Kernel
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- 1.Yu. M. Berezansky and O. B. Chernobai, “On the theory of generalized Toeplitz kernels,” Ukr. Mat. Zh., 52, No. 11, 1458-1472 (2000).Google Scholar
- 2.M. Cotlar and C. Sadosky, “On the Helson - Szegö theorem and related class of modified Toeplitz kernels,” in: Proceedings of the Sym. on Pure Mathematics, 35, Pt. 1, Providence, R. I., Amer. Math. Soc. (1979) pp. 383-407.Google Scholar
- 3.R. Bruzual, “Local semigroups of contractions and some applications to Fourier representations theorems,” Integr. Equat. Operat. Theor., 10, 780-801 (1987).Google Scholar
- 4.Yu. M. Berezansky, Expansions in Eigenfunctions of Selfadjoint Operators, Amer. Math. Soc., Providence R.I. (1968).Google Scholar
- 5.N. I. Akhiezer and I. M. Glazman, Theory of Linear Operators in a Hilbert Space [in Russian], Nauka, Moscow (1966).Google Scholar
- 6.Yu. M. Berezanskii, G. F. Us, and Z. G. Sheftel', Functional Analysis [in Russian], Vyshcha Shkola, Kiev (1990).Google Scholar
- 7.M. B. Bekker, “On the problem of extension from a half axis of a continuous positive definite generalized Toeplitz kernel,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 4, 3-6 (1989).Google Scholar
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