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Multiresolution analysis for Markov Interval Maps
multiwavelets, multiresolution analysis, Markov interval maps
2011/8/23
Abstract: We set up a multiresolution analysis on fractal sets derived from limit sets of Markov Interval Maps. For this we consider the $\mathbb{Z}$-convolution of a non-atomic measure supported on t...
Eigenvalues of the fractional Laplace operator in the interval
Eigenvalues fractional Laplace operator interval
2011/1/18
Two-term Weyl-type asymptotic law for the eigenvalues of one-dimensional fractional Laplace operator (−) /2 ( ∈ (0, 2)) in the interval (−1, 1) is given: the n-th eigenvalue is equal to ...