Some Properties of the Perturbed Haar Wavelets
UNIVERSIDAD NACIONAL DE MAR DEL PLATA (ARGENTINA) INST OF SCIENCE AND MATERIALS TECHNOLOGY RESEARCH
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One of the authors has studied the properties of a family of Riesz bases obtained by perturbing the Haar function using B-splines. Although these bases cannot be obtained by multiresolution analyses, they have other interesting properties. The present paper discusses how a discrete signal can be studied by considering a suitable function so that the existing theory for functions defined over a continuous domain can be applied.
- Numerical Mathematics
- Theoretical Mathematics