ISSN:
1572-9206
Schlagwort(e):
Kramer's sampling theorem
;
symmetric and self-adjoint operators
;
compact resolvents
;
Hilbert–Schmidt operators
;
Lagrange-type interpolatory series
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract In this paper we prove a general sampling theorem associated with differential operators with compact resolvent. Thus, we are able to recover, through a Lagrange-type interpolatory series, functions defined by means of a linear integral transform. The kernel of this transform is related with the resolvent of the differential operator. Most of the well-known sampling theorems associated with differential operators are shown to be nothing but limit cases of this result.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1023/A:1022625625116
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