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Resolvent kernel for the Kohn Laplacian on Heisenberg groups. (English) Zbl 1004.47002
The authors present a formula that relates the Kohn Laplacian and the magnetic Laplacian on the Heisenberg groups and find their spectral density. Also they obtain the Green kernel for fractional powers of the Kohn Laplacian.

MSC:
47A10 Spectrum, resolvent
34A05 Explicit solutions, first integrals of ordinary differential equations
35C15 Integral representations of solutions to PDEs
34B27 Green’s functions for ordinary differential equations
47A60 Functional calculus for linear operators
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