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We consider global hypoellipticity of constant coefficient differential operators on the 2-torus, and prove that it is equivalent to an algebraic growth condition on the symbol. This is applied to… (More)
We study differential operators D which commute with a fixed normal elliptic operator E on a compact manifold M. We use eigenfunction expansions relative to E to obtain simple conditions giving… (More)
We prove a weak Schwarz lemma in Banach space and use it to show that in Hubert space a Siegel domain of type II is not necessarily biholomorphic to a bounded domain. We use a strong Schwarz lemma of… (More)
PCT No. PCT/EP96/00860 Sec. 371 Date Sep. 8, 1997 Sec. 102(e) Date Sep. 8, 1997 PCT Filed Mar. 1, 1996 PCT Pub. No. WO96/27765 PCT Pub. Date Sep. 12, 1996In order to cool the hot surface of the heat… (More)
We consider global analytic hypoellipticity of constant coefficient differential operators on the 2-torus, and prove that it is equivalent to a growth condition on the symbol. An example of a… (More)