Estimates for the Heat Kernel on Differential Forms on Riemannian Symmetric Spaces and Applications

Heat kernel, Form Laplacian, Riemannian symmetric space, locally symmetric space, Plancherel formula, Paley-Wiener theorem, $L^2$- cohomology, principal series representation, isotropy representation

2010 Mathematics Subject Classification

Primary 22E46, 43A85, 53C35, 58J35, 58J50. Secondary 22E40, 57T15.

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Published 1 January 2010