Spherical harmonics and applications associated with the Weinstein operator

Calderón’s reproducing formulas for the Weinstein L2-multiplier operators

“…In this section, we shall collect some results and definitions from the theory of the harmonic analysis associated with the Weinstein operator ∆ d W,α . Main references are [7,8,9].…”

Paley–Wiener theorem for the Weinstein transform and applications

“…In order to set up basic and standard notation we briefly overview the Weinstein operator and related harmonic analysis. Main references are [1,2].…”

Heat Equations Associated with Weinstein Operator and Applications

“…In order to confirm the basic and standard notations, we briefly overview the Weinstein operator and the related harmonic analysis. Main references are [1,2]. Operator. In this subsection, we collect some notations and results on the Weinstein kernel, the Weinstein intertwining operator and its dual, the Weinstein transform, and the Weinstein convolution.…”

“…(cf. [1,2]). The Weinstein operator Δ has several applications in pure and applied mathematics especially in the fluid mechanics (cf.…”