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- W2093175900 abstract "We apply the methods of representation theory of nilpotent Lie groups to study the convergence of Fourier series of smooth global solutions to first order invariant partial differential equations Df = g in C? of a two-step compact nilmanifold. We show that, under algebraically well-defined conditions on D in the complexified Lie algebra, 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. Such strong estimates are not possible on multidimensional tori." @default.
- W2093175900 created "2016-06-24" @default.
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- W2093175900 date "1983-02-01" @default.
- W2093175900 modified "2023-09-27" @default.
- W2093175900 title "Global solvability on two-step compact nilmanifolds" @default.
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- W2093175900 doi "https://doi.org/10.1090/s0002-9947-1983-0709567-1" @default.
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