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A spectral theory of linear operators on rigged Hilbert spaces under certain analyticity conditions
generalized eigenvalue resonance pole rigged Hilbert space Gelfand triplet generalized function
2011/9/22
Abstract: A spectral theory of linear operators on rigged Hilbert spaces (Gelfand triplets) is developed under the assumptions that a linear operator $T$ on a Hilbert space $\mathcal{H}$ is a perturba...
Refined Scattering and Hermitian Spectral Theory for Linear Higher-Order Schrodinger Equations
Higher-order Schrodinger operators rescaled blow-up variables discrete real spectrum asymptotic behaviour nodal sets of solutions
2011/9/9
Abstract: A classification of large-time and finite-time blow-up asymptotics of solutions of the Cauchy problem for higher-order Schr\"odinger equations is performed.
Equivariant inverse spectral theory and toric orbifolds
Laplacian symplectic orbifold toric moment polytope equivariant spectrum constant scalar curvature
2011/8/25
Abstract: Let O be a symplectic toric 2n-dimensional orbifold with a fixed T^n-action and with a toric Kahler metric g. We previously explored whether, when O is a manifold, the equivariant spectrum o...
On the spectral theory of Rickart Ordered *-algebras
spectral theory Rickart Ordered *-algebras
2011/2/25
RO-algebras are defined and studied. For RO-algebra T , using properties of partial order, it is established that the set of bounded elements can be endowed with C-norm. The structure of commutativ...
Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory
Intrinsic metrics non-local symmetric Dirichlet applications spectral theory
2011/2/25
We present a study of what may be called an intrinsic metric for a general regular Dirichlet form. For such forms we then prove a Rademacher type theorem.
A Spectral Theory of Nonlinear Barotropic Motion above Irregular Topography
Nonlinear Barotropic Motion Irregular Topography
2009/2/23
If a field of randomly distributed barotropic eddies interacts with underlying topographic features in a rotating reference frame, the flow is observed to develop, after a time the order of an eddy tu...