Abstract. The authors analyze the properties of wavelets based on Jacobi polynomials. In particular, orthogonality conditions for these wavelets are considered, as well as minimization of the Riesz ratio. These problems lead to the solution of systems of nonlinear equations by the method proposed earlier by the authors.
Keywords: wavelets, Jacobi polynomials, orthogonality conditions, rootfinding.
1 DELTA SPE Scientific and Production Enterprise, Kyiv, Ukraine,
e-mail: vasyl.delta@gmail.com.
2 Institute of Mathematics of the University of Lubeck, Lubeck, Germany,
e-mail: prestin@math.uni-luebeck.de.