Riesz basis of Coifman and Meyer's local sine and cosine type |
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Authors: | Min Chung |
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Institution: | Department of Mathematics, Indiana University, Bloomington, IN 47405, USA |
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Abstract: | A Riesz basis is the image of an orthonormal basis under an invertible continuous linear mapping. In many interesting applications, perturbing an orthonormal basis in a controlled manner yields a Riesz basis. In this paper we find Riesz basis for of the form {bIk(x)sinλkx}, with bIk(x) bell functions, by perturbing the local sine and cosine orthonormal bases of Coifman and Meyer. |
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