Paley-Wiener theorem for singular support of K-finite distributions on symmetric spaces

Generalized Spectral Projections on Symm

Generalized Spectral Projections on Symmetric Spaces of Noncompact Type: Paley–Wiener Theorems

✍ William O. Bray 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 734 KB

On a symmetric space X=GÂK of noncompact type, we consider the formulas where 8 \* is the spherical function on X. Taken together they represent, the synthesis and decomposition formulas for appropriate functions f on X in terms of joint eigenfunctions of the invariant differential operators on X.