Harmonic Analysis, Differential Equations, Calculus of Variations with Application to Stability of Complex Geometric Structures.

摘要

The report summarizes the research results obtained under the referenced Grant during the period 1 July 68 through 30 June 71, lists the manuscripts and reprints which report these results, and lists the individuals (partially) supported under the Grant. Briefly stated, these results concern the convergence of Poisson integrals, the analogues of singular integral operators and certain pseudo-differential operators, the Littlewood-Paley theory, Markov chains, the Neumann problem, the boundary behavior of positive harmonic functions, integral transforms and singular integrals. (Author)