Applications of Krein's theory of regular symmetric operators to sampling theory
نویسندگان
چکیده
منابع مشابه
Fe b 20 07 Applications of M . G . Krein ’ s Theory of Regular Symmetric Operators to Sampling Theory
The classical Kramer sampling theorem establishes general conditions that allow the reconstruction of functions by mean of orthogonal sampling formulae. One major task in sampling theory is to find concrete, non trivial realizations of this theorem. In this paper we provide a new approach to this subject on the basis of the M. G. Krein’s theory of representation of simple regular symmetric oper...
متن کامل. SP ] 2 5 Ja n 20 07 Applications of M . G . Krein ’ s Theory of Regular Symmetric Operators to Sampling Theory ∗ †
The classical Kramer sampling theorem establishes general conditions that allow the reconstruction of functions by mean of orthogonal sampling formulae. One major task in sampling theory is to find concrete, non trivial realizations of this theorem. In this paper we provide a new approach to this subject on the basis of the M. G. Krein’s theory of representation of simple regular symmetric oper...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2007
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/40/31/017