Multiresolution analyses originated from nonstationary subdivision schemes |
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Authors: | Laura Gori Francesca Pitolli |
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Institution: | Dip. Me. Mo. Mat., Università di Roma “La Sapienza”, Via A. Scarpa 10, 00161 Roma, Italy |
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Abstract: | We analyze the properties of a new class of totally positive refinable functions obtained from nonstationary subdivision schemes. We show that the corresponding system of the integer translates is linearly independent, satisfies a Whitney–Schoenberg condition, reproduces polynomials up to a certain degree and generates a multiresolution analysis. Finally, pre-wavelets and bases on the interval are constructed. |
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Keywords: | Total positivity Subdivision schemes Multiresolution analysis |
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