Title

Global regularity on 3-Dimensional solvmanifolds

Document Type

Article

Publication Date

1-1-1992

Abstract

Let M be any 3-dimensional (nonabelian) compact solvmanifold.We apply the methods of representation theory to study the convergence of Fourier series of smooth global solutions to first order invariant partial differential equations Df = g in C∞(M). We show that smooth infinite-dimensional irreducible solutions, when they exist, satisfy estimates strong enough to guarantee uniform convergence of the irreducible (or primary) Fourier series to a smooth global solution. © 1992 American Mathematical Society.

Publication Source (Journal or Book title)

Transactions of the American Mathematical Society

First Page

473

Last Page

488

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