Hill-Type Formula and Krein-Type Trace Formula for Hamiltonian Systems

steiner formula and holditch-type theorems for homothetic lorentzian motions

the present paper is concerned with the generalization of the holditch theorem under oneparameterhomothetic motion on lorentzian planes. in this paper, for the homothetic lorentzian motion, weexpressed the steiner formula. furthermore, we present the holditch-type theorems.

Institute for Mathematical Physics Inverse Problem and the Trace Formula for the Hill Operator, Ii Inverse Problem and the Trace Formula for the Hill Operator, Ii

Consider the Hill operator T = ?d 2 =dx 2 + q(x) on L 2 (R); where q 2 L 2 (0; 1) is a 1-periodic real potential and R 1 0 q(x)dx = 0: The spectrum of T is absolutely continuous and consists of intervals separated by gaps n = (a ? n ; a

Landauer-Büttiker-type current formula for hybrid mesoscopic systems

A general Landauer-Büttiker-type current formula is derived, which can be applied to the ferromagnet (F)/Normal metal (N)/superconductor (S), F/N/N, N/N/S and N/N/N systems in the presence of various kinds of interactions in the central region.

A Rademacher-Type Formula for pod(n)

The Topological Trace Formula

The topological trace formula is a computation of the Lefschetz number of a Hecke correspondence C acting on the weighted cohomology groups, defined in [GHM], of a locally symmetric space X . It expresses this Lefschetz number as a sum of contributions from fixed point components of C on the reductive Borel Serre compactification of X . The proof uses the Lefschetz fixed point formula of [GM2]....