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

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H. Torres R.

Studia Mathematica

1991

tom 100

nr 1

51-74

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.

Ograniczanie wyników

1 Studia Mathematica

1 H. Torres R.

1 1991

Wyniki wyszukiwania

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