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The main goal of this monograph is to develop a theory of pseudodifferential operators adaptable to problems in noncommutative harmonic analysis. The author's point of view is to try to make the analogy with the case of pseudodifferential operators on [double-struck capital]R[su…
Introduction Singular integrals on Lipschitz submanifolds of codimension one Estimates on fundamental solutions General second-order strongly elliptic systems The Dirichlet problem for the Hodge Laplacian and related operators Natural boundary problems for the Hodge Laplacian in…