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A note on sampling expansion for a transform with parabolic cylinder kernel. (English) Zbl 0506.94009

94A15General topics of information theory
94A24Coding theorems (Shannon theory)
Full Text: DOI
[1] Campbell, L. L.: A comparison of the sampling theorems of kramer and Whittaker. J. SIAM 12, 117-130 (1964) · Zbl 0154.44404
[2] Erdelyi, A.: Higher transcendental functions. (1953)
[3] Jerri, A. J.: On the application of some interpolating functions in physics. J. res. Nat. bur. Standards sect. B 80(B), No. 3, 241-245 (Sept. 1969) · Zbl 0181.06402
[4] Jerri, A. J.: Sampling expansion for Laguerre-$L{\gamma}{\alpha}$ transforms. J. res. Nat. bur. Standards. sect. B 80(B), No. 3, 415-418 (July--Sept. 1976) · Zbl 0349.44001
[5] Jerri, A. J.: The Shannon sampling theorem--its various extensions and applications: A tutorial review. Proc. IEEE 65, 1565-1596 (1977) · Zbl 0442.94002
[6] Kramer, H. P.: A generalized sampling theorem. J. math. Phys. 38, 68-72 (1959) · Zbl 0196.31702
[7] Mehta, F. C.: A general sampling expansion. Information sci. 16, 41-46 (1978) · Zbl 0443.94006
[8] Shannon, C. E.: Communications in the presence of noise. Proc. IRE 37, 10-21 (1949)
[9] Whittaker, E. T.; Watson, G. N.: A course of modern analysis. (1962) · Zbl 0105.26901