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1991 | 100 | 1 | 51-74
Tytu艂 artyku艂u

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

Tre艣膰 / Zawarto艣膰
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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 蠁-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.
S艂owa kluczowe
  • Courant Institute of Mathematical Sciences, New York University, 251 Mercer St., New York, New York 10012, U.S.A.
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