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Spectral Analysis of the Differential Operator in Wavelet Bases |
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| Authors: | Wald n Johan |
| Affiliation: | Waldén Johan |
| Abstract: | We analyze the spectral properties of the differential operator in wavelet bases. The problem is studied on a periodic domain, with periodized wavelets. An algorithm for finding the eigenvalue function of the differential operator is presented, and general conditions that ensure a "nicely behaving" eigenvalue function are derived. |
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