论文信息 - Random perturbations of exponential Riesz bases in $L^2(-\pi,\pi)$

Random perturbations of exponential Riesz bases in $L^2(-\pi,\pi)$

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G. Chistyakov | Gennadii Chistyakov | Yura Lyubarskii | Yu. Lyubarskii

[1] J. R. Higgins,et al. Five short stories about the cardinal series , 1985 .

[2] L. Carleson,et al. The Collected Works of Arne Beurling , 1989 .

[3] J. Kahane. Some Random Series of Functions , 1985 .

[4] Yurii Lyubarskii. Frames in the Bargmann space of entire functions , 1992 .

[5] K. Seip. Density theorems for sampling and interpolation in the Bargmann-Fock space I. , 1992, math/9204238.

[6] R. A. Hunt,et al. Weighted norm inequalities for the conjugate function and Hilbert transform , 1973 .

[7] R. Young,et al. An introduction to nonharmonic Fourier series , 1980 .

[8] J. Benedetto. Irregular sampling and frames , 1993 .

[9] J. Cooper. SINGULAR INTEGRALS AND DIFFERENTIABILITY PROPERTIES OF FUNCTIONS , 1973 .

[10] B. S. Pavlov,et al. Unconditional bases of exponentials and of reproducing kernels , 1981 .

[11] Yurii Lyubarskii,et al. Sampling and interpolation of entire functions and exponential systems in convex domains , 1994 .

[12] A. J. Jerri. Correction to "The Shannon sampling theorem—Its various extensions and applications: A tutorial review" , 1979 .

[13] Gabor Szegö,et al. A problem in prediction theory , 1960 .

[14] N. Levinson. Gap and Density Theorems , 1940 .