Bessel, Frame and Riesz Multipliers
نویسنده
چکیده
Abstract. This paper introduces the concept of Bessel and frame multipliers. These operators are defined by a fixed pattern, called the symbol, which is used after analysis, before synthesis. This concept is a generalization of Gabor multipliers. It allows specialization to any analysis/synthesis systems, that form Bessel sequences, like e.g. wavelet frames. Basic properties of this general class of operators are investigated in this paper. In particular the connection of the class of the symbol to the class of the operators is specified. The question, how the operator depends on a perturbation of the frames or the symbol, is also treated. As a special case the multipliers for Riesz bases are examined.
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