Results 51 to 60 of about 956,253 (229)
Spectral Geometry and Causality
, 1996 For a physical interpretation of a theory of quantum gravity, it is necessary to recover classical spacetime, at least approximately. However, quantum gravity may eventually provide classical spacetimes by giving spectral data similar to those appearing ...
Kopf, Tomas
core +2 more sources
Characterizing degenerate Sturm-Liouville problems
Electronic Journal of Differential Equations, 2004 Consider the Dirichlet eigenvalue problem associated with the real two-term weighted Sturm-Liouville equation $$-(p(x)y')' = lambda r(x)y$$ on the finite interval [a,b].
Angelo B. Mingarelli
doaj
Frontiers in Applied Mathematics and StatisticsThe purpose of this note is to review certain recent results concerning the pseudospectra and the eigenvalues asymptotics of non-selfadjoint semiclassical pseudo-differential operators subject to small random perturbations.
Martin Vogel
doaj +1 more source
Spectral theory for non-unitary twists
, 2018 Let $G$ be a Lie-group and $\Ga\subset G$ a cocompact lattice. For a finite-dimensional, not necessarily unitary representation $\om$ of $\Ga$ we show that the $G$-representation on $L^2(\Ga\bs G,\om)$ admits a complete filtration with irreducible ...
Deitmar, Anton
core +1 more source
Spectral Theory and Hardy Spaces for Bessel Operators in Non-Standard Geometries
MathematicsThis paper develops novel results in the harmonic analysis of Bessel operators, extending their theory to higher-dimensional and non-Euclidean spaces. We present a refined framework for Hardy spaces associated with Bessel operators, emphasizing atomic ...
Saeed Hashemi Sababe
doaj +1 more source
Karpatsʹkì Matematičnì Publìkacìï, 2018 The theoretical bases of this paper are the theory of spectral analysis and the theory of singular and regular perturbations. We obtain an approximate price of Ornstein-Uhlenbeck double barrier options with multidimensional stochastic diffusion as ...
I.V. Burtnyak, H.P. Malytska
doaj +1 more source
Electronic Journal of Differential Equations, 2017 This article is devoted to the study of the parameter's set where the Green's function related to a general linear nth-order operator, depending on a real parameter, T_n[M], coupled with many different two point boundary value conditions, is of ...
Alberto Cabada, Lorena Saavedra
doaj
The Density of States and the Spectral Shift Density of Random Schroedinger Operators
, 2000 In this article we continue our analysis of Schroedinger operators with a random potential using scattering theory. In particular the theory of Krein's spectral shift function leads to an alternative construction of the density of states in arbitrary ...
Barbaroux J. M. +11 more
core +1 more source
Functional Determinants for Radially Separable Partial Differential Operators
Acta Polytechnica, 2007 Functional determinants of differential operators play a prominent role in many fields of theoretical and mathematical physics, ranging from condensed matter physics, to atomic, molecular and particle physics.
G. V. Dunne
doaj
Spectral properties and conformal type of surfaces
Anais da Academia Brasileira de Ciências, 2002 In this short note, we announce a result relating the geometry of a riemannian surface to the positivity of some operators on this surface (the operators considered here are of the form surface Laplacian plus a scalar multiple of the curvature function).
PHILIPPE CASTILLON
doaj +1 more source