The Kramer sampling theorem revisited

  title={The Kramer sampling theorem revisited},
  author={A. Gonz{\'a}lez Garcı́a and Miguel Angel Hern{\'a}ndez-Medina and Maria Jos{\'e} Mu{\~n}oz-Bouzo},
The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. Besides, it has been the cornerstone for a significant mathematical literature on the topic of sampling theorems associated with differential and difference problems. In this work we provide, in an unified way, new and old generalizations of this result corresponding to various different settings; all these generalizations are illustrated with examples. All the different situations along the… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 56 references

Integral Transforms

  • S. Saitoh
  • Reproducing Kernels and Their Applications…
  • 1997
Highly Influential
4 Excerpts

Nevanlinna extremal measures for some orthogonal polynomials related birth and death processes

  • C. Berg, G. Valent
  • J. Comput. Appl. Math., 57:29–43
  • 1995
Highly Influential
4 Excerpts

Hilbert spaces of distributions having an orthogonal basis of exponentials

  • J. P. Gabardo
  • J. Fourier Anal. Appl., 6(3):277–298
  • 2000
Highly Influential
3 Excerpts

q-Hermite polynomials

  • M.E.H. Ismail, D. R. Masson
  • biorthogonal rational functions, and q-beta…
  • 1994
Highly Influential
3 Excerpts

Analytic Kramer kernels

  • A. G. Garćıa, M. A. Hernández-Medina, F. H. Szafraniec
  • Lagrange-type interpolation series and de Branges…
  • 2013
1 Excerpt

Analytic Kramer kernels , Lagrangetype interpolation series and de Branges spaces

  • A.
  • Complex Var . Elliptic Equ .
  • 2013

Portal . Sampling in reproducing kernel Banach spaces

  • J. R. Giles.
  • Mediterr . J . Math .
  • 2013

The theory of reproducing kernels–60 years since N

  • S. Saitoh, Y. Sawano
  • Aronszajn. Preliminary version
  • 2013
1 Excerpt

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