Higher dimensional wavelets are constructed in the framework of Clifford analysis by taking the Clifford-monogenic extension of specific functions. Clifford-monogenic functions are direct higher dimensional generalizations of holomorphic functions in the complex plane. In this way also new generalized polynomials, the so-called Clifford-Laguerre polynomials, are obtained.
"The Clifford-Laguerre Continuous Wavelet Transform." Bull. Belg. Math. Soc. Simon Stevin 11 (2) 201 - 215, June 2004. https://doi.org/10.36045/bbms/1086969312