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Wavelet frames for $L^2({\mathbb R})$ can be characterized by means ofspectral techniques. This work uses spectral formulas to determine all thetight wavelet frames for $L^2({\mathbb R})$ with a fixed finite number ofgenerators of minimal support. The method associates wavelet frames of thistype with certain inner operator-valued functions in Hardy spaces. The caseswith one and two generators are completely solved.

Univariate tight wavelet frames of minimal support