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Title

Spaces of sequences, sampling theorem, and functions of exponential type

Authors 1

Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, 251 Mercer St., New York, New York 10012, U.S.A.

Abstract

We introduce certain spaces of sequences which can be used to characterize spaces of functions of exponential type. We present a generalized version of the sampling theorem and a "nonorthogonal wavelet decomposition" for the elements of these spaces of sequences. In particular, we obtain a discrete version of the so-called φ-transform studied in [6] [8]. We also show how these new spaces and the corresponding decompositions can be used to study multiplier operators on Besov spaces.

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Studia Mathematica
1991/100/1
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Pages:
51-74
Main language of publication
English
Received
1990-08-16
Accepted
1990-12-20
Published
1991
Exact and natural sciences