4 papers
The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface
Louis Boutet De Monvel, Yves Colin De Verdière
We consider a smooth hyper-surface Z of a closed Riemannian manifold X. Let P be the Poisson operator associating to a smooth function on Z its harmonic extension on X\Z. If A is a…
Asymptotic equivariant index of Toeplitz operators and relative index of CR structures
Louis Boutet de Monvel, Eric Leichtnam, Xiang Tang +1
Using equivariant Toeplitz operator calculus, we give a new proof of the Atiyah-Weinstein conjecture on the index of Fourier integral operators and the relative index of CR structu…
Vanishing of the logarithmic trace of generalized Szegö projectors
Louis Boutet de Monvel
We show that the logarithmic trace of generalized Szegö projectors on compact contact manifolds vanishes identically.
Logarithmic Trace of Toeplitz Projectors
Louis Boutet de Monvel
We prove that the trace of the logarithmic term of the Toeplitz kernel on a contact manifold is a contact invariant, generalizing K. Hirachi's invariant for the Szego kernel on a C…