Biorthogonal bases of multiwavelets


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Abstract

A method for the construction of biorthogonal bases of multiwavelets from known bases of multiscaling functions is given. It is similar to the method presented in the author’s 2014 paper joint with N.I. Chernykh and is based on the same principle: the construction of multiwavelets based on k multiscaling functions employs an analog of the vector product of vectors in a 2k-dimensional space.

About the authors

E. A. Pleshcheva

Krasovskii Institute of Mathematics and Mechanics

Author for correspondence.
Email: eplescheva@gmail.com
Russian Federation, Yekaterinburg, 620990

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