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

• Autorzy: Rodolfo H. Torres
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 42B15: Multipliers
• 43A15: L p -spaces and other function spaces on groups, semigroups, etc.
• 46A45: Sequence spaces (including K\"othe sequence spaces)
• 26A16: Lipschitz (H\"older) classes
• 30D10: Representations of entire functions by series and integrals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1991
• Tom: 100
• Numer: 1
• Strony: 51-74

Daty

wydano

1991

otrzymano

1990-08-16

poprawiono

1990-12-20

Twórcy

autor

Rodolfo H. Torres

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

Bibliografia

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