Wavelet transform of Beurling-Björck type ultradistributions (Q2360067)

The authors develop a theory of wavelet transforms in the setting of Beurling-Björck ultradistributions. The main tool is the existence of wavelets with infraexponential decay and compact support, which was obtained in [\textit{R. S. Pathak} and \textit{S. K. Singh}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 78, No. 2, 155--162 (2008; Zbl 1173.42329)], extending previous work by \textit{J. Dziubański} and \textit{E. Hernández} [Can. Math. Bull. 41, No. 4, 398--403 (1998; Zbl 0955.42021)].