Calderón type formula in quantum calculus (Q391057)

Historically, Calderon's reproducing formula is usually connected with the paper of \textit{A. P. Calderón} [Stud. Math. 24, 113--190 (1964; Zbl 0204.13703)], but its basic idea was known before. It is widely used in the theory of continuous wavelet transforms [\textit{Y. Meyer}, Wavelets and operators. Translated by D. H. Salinger. Cambridge: Cambridge University Press (1992; Zbl 0776.42019)]. In the paper, the authors replace the classical convolution product `\(*\)' by a \(q\)-convolution \(*_q\) and establish results about a \(q\)-Calderon reproducing formula for finite measures.