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On the smoothness of orthonormal wavelets arising from HDAFs |
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| Authors: | Lixin Shen Jiansheng Yang M. Papadakis I. Kakadiaris D. J. Kouri D. K. Hoffman |
| Affiliation: | a Department of Mathematics, West Virginia University, Morgantown, WV 26506, USA;b School of Mathematics Science, Peking University, Beijing, 100871, PR China;c Department of Mathematics, University of Houston, Houston, TX 77204, USA;d Department of Computer Science, University of Houston, Houston, TX 77204, USA;e Department of Physics, University of Houston, Houston, TX 77204, USA;f Department of Chemistry and Ames Laboratory, Iowa State University, Ames, IS 50011, USA |
| Abstract: | In this paper, we give an estimation for the smoothness of a new family of symmetric orthonormal wavelets arising from Hermite Distributed Approximating Functionals (HDAFs). Their corresponding associated low pass filters are symmetric with respect to the origin. |
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