Lipschitz continuity of refinable functions on the Heisenberg group |
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| Authors: | Yu Liu Mei Yu |
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| Affiliation: | a Department of Mathematics and Mechanics, University of Science and Technology, Beijing 100083, PR China
b Department of Automation, North China Electric Power University, Beijing 102206, PR China |
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| Abstract: | In this paper, the Lipschitz continuity of refinable functions related to the general acceptable dilations on the Heisenberg group will be investigated in terms of the uniform joint spectral radius. We also give an investigation of the refinable functions in the generalized Lipschitz spaces related to a kind of special acceptable dilations. |
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| Keywords: | Heisenberg group Wavelets Refinable functions Lipschitz spaces Joint spectral radii |
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