On a problem of Berenstein--Gay and its generalizations

V. V. Volchkov ; Vit. V. Volchkov

Izvestiya. Mathematics , Tome 74 (2010) no. 4, pp. 691-721.

Résumé

We obtain a solution of the Berenstein–Gay problem on the local analogue of spectral analysis on Riemannian symmetric spaces $X$ of rank 1. The proof is based on constructing transmutation maps connected with eigenfunction expansions of the Laplace–Beltrami operator on $X$.

Détail

Keywords: spectral analysis, functions periodic on average, symmetric spaces.

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