Proceedings of the Indian Academy of Sciences
Mathematical Sciences


VOL. 112, NO. 2, FEBRUARY 2002


Special Issue: Spectral and Inverse Spectral Theory
Proceedings of a Workshop, Goa, India (14–20 December 2000)


Contents

 

Foreword
Full Text: [ PDF (7kB)]
pp.1
The universal eigenvalue bounds of Payne–Polya–Weinberger, Hile–Protter, and H C Yang
Mark S Ashbaugh
Abstract   Full Text: [ PDF  (416kB)]
pp.3-30
The Wegner estimate and the integrated density of states for some random operators
J M Combes, P D Hislop, Frédéric Klopp and Shu Nakamura
Abstract   Full Text: [ PDF (491kB)]
pp.31-53
Energy transfer in scattering by rotating potentials
Volker Enss, Vadim Kostrykin and Robert Schrader
Abstract   Full Text: [ PDF (311kB)]
pp.55-70
Magnetic bottles for the Neumann problem: The case of dimension 3
Bernard Helffer and Abderemane Morame
Abstract   Full Text: [ PDF (184kB)]
pp.71-84
The extraordinary spectral properties of radially periodic Schrödinger operators
Andreas M Hinz
Abstract   Full Text: [ PDF (404kB)]
pp.85-98
On the norm convergence of the self-adjoint Trotter–Kato product formula with error bound
Takashi Ichinose and Hideo Tamura
Abstract   Full Text: [ PDF (140kB)]
pp.99-106
On perturbation of eigenvalues embedded at thresholds in a two channel model
Arne Jensen
Abstract   Full Text: [ PDF (186kB)] 
pp.107-116
On spectral properties of periodic polyharmonic matrix operators
Yu E Karpeshina
Abstract   Full Text: [ PDF (324kB)] 
pp.117-130
Wegner estimate for sparse and other generalized alloy type potentials
Werner Kirsch and Ivan Veselic
Abstract   Full Text: [ PDF (316kB)]
pp.131-146
Lifshitz tails for random perturbations of periodic Schrödinger operators
Frédéric Klopp
Abstract   Full Text: [ PDF (244kB)]
pp.147-162
Smoothness of density of states for random decaying interaction
M Krishna
Abstract   Full Text: [ PDF (387kB)]
pp.163-181
A remark on the Lifshitz tail for Schrödinger operator with random magnetic field
Shu Nakamura
Abstract   Full Text: [ PDF (78kB)]
pp.183-187
Truncation method for operators with disconnected essential spectrum
M N N Namboodiri
Abstract   Full Text: [ PDF (124kB)]
pp.189-193
Homogenization of a parabolic equation in perforated domain with Neumann boundary condition
A K Nandakumaran and M Rajesh
Abstract   Full Text: [ PDF (290kB)]
pp.195-207
Asymptotic absolute continuity for perturbed time-dependent quadratic Hamiltonians
Erik Skibsted
Abstract   Full Text: [ PDF (347kB)]
pp.209-228
Strategies in localization proofs for one-dimensional random Schrödinger operators
Günter Stolz
Abstract   Full Text: [ PDF (209kB)]
pp.229-243
High energy asymptotics of the scattering amplitude for the Schrödinger equation
D Yafaev
Abstract   Full Text: [ PDF (329kB)]
pp.245-255