A calculation with a bi-orthogonal wavelet transformation

Physics – Mathematical Physics

Scientific paper

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LaTeX, 19 pages, no figures

Scientific paper

We explore the use of bi-orthogonal basis for continuous wavelet
transformations, thus relaxing the so-called admissibility condition on the
analyzing wavelet. As an application, we determine the eigenvalues and
corresponding radial eigenfunctions of the Hamiltonian of relativistic
Hydrogen-like atoms.

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