A Generalized Sampling Theorem with the Inverse of an Arbitrary Square Summable Sequence as Sampling Points

Journal of Fourier Analysis and Applications

Volumn 2, Issue 3, 1996, Pages 302-314

  Zayed, Ahmed I ^a  

^a UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

Cardinal series; Interpolation of entire functions; Kramer sampling theorem; Shannon sampling theorem

Indexed keywords

EID: 84951599257     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. Boas, R. (1954). Entire Functions. Academic Press, New York.
2. Erdelyi, A., Magnus, W., Oberhettinger, F., and Tricomi, F. (1953). Higher Transcendental Functions Vol. 1. McGraw- Hill, New York.
3. Kramer, H. (1957). A generalized sampling theorem. J. Math. Phys. 63, 68-72.
4. Paley, R., and Wiener, N. (1934). Fourier Transforms in the Complex Domain. Amer. Math. Soc. Colloq. Publ., 19. American Mathematical Society, Providence, RI.
5. Whittaker, E. (1915). On the functions which are represented by the expansion of the interpolation theory. Proc. Roy. Soc. Edinburgh Sect. A 35, 181-194.
6. Zayed, A. (1993). Advances in Shannon's Sampling Theory. CRC Press, Boca Raton, FL.
7. _. (1992). Existence of a boundary-value problem with prescribed eigenvalues. SIAM Rev. 34, Problem 92-1.
8. _. (1991). On Kramer's sampling theorem associated with general Sturm-Liouville problems and Lagrange interpolation. SIAM J. Appl. Math. 51, 575-604.