16 citations · 60 across the 19 of their papers we have counts for
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"Bottom of the well" semi-classical trace invariants
V. Guillemin, T. Paul, A. Uribe
Let be an h-admissible pseudodifferential operator whose principal symbol, , has a unique non-degenerate global minimum. We give a simple proof that the semi-classical…
Riemann sums over polytopes
Victor Guillemin, Shlomo Sternberg
We show that the Euler-MacLaurin formula for Riemann sums has an n-dimensional analogue in which intervals on the line get replaced by convex polytopes.
The Ehrhart Function for Symbols
Victor W. Guillemin, Shlomo Sternberg, Jonathan Weitsman
We derive an Ehrhart function for symbols from the Euler-MacLaurin formula with remainder.
Determinants of zeroth order operators
Leonid Friedlander, Victor Guillemin
We show that the Szego regularized determinant of a zeroth order operator differs from the zeta regularized determinant of the same operator by a local term. In addition, we comput…