Sampling associated with resolvent-type kernels and Lagrange-type interpolation series Articles uri icon

publication date

  • December 2013

start page

  • 1333

end page

  • 1347

issue

  • 4

volume

  • 39

International Standard Serial Number (ISSN)

  • 0362-1588

Electronic International Standard Serial Number (EISSN)

  • 0362-1588

abstract

  • URL (vol. 39 issue 4): http://math.uh.edu/~hjm/Vol39-4.html ----------- Abstract: In this paper a new class of Kramer kernels is introduced, motivated by the resolvent of a symmetric operator with compact resolvent. The article gives a necessary and sufficient condition to ensure that the associated sampling formula can be expressed as a Lagrange-type interpolation series. Finally, an illustrative example, taken from the Hamburger moment problem theory, is included.