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Restrictions to Invariant Subspaces of Composition Operators on the Hardy Space of the Disk
composition operator hardy semigroup
2015/1/19
Invariant subspaces are a natural topic in linear algebra and operator theory. In some rare cases, the restrictions of operators to different invariant subspaces are unitarily equivalent, such as cert...
Geodesic restrictions of eigenfunctions on arithmetic surfaces
Geodesic restrictions of eigenfunctions arithmetic surfaces Number Theory
2012/4/23
Let X be an arithmetic hyperbolic surface, {\psi} a Hecke-Maass form, and {\gamma} a geodesic segment on X. We obtain a power saving over the local bound of Burq-G\'erard-Tzvetkov for the L^2 norm of ...
Quantum ergodicity for restrictions to hypersurfaces
Quantum ergodicity restrictions hypersurfaces Analysis of PDEs
2012/4/17
Quantum ergodicity theorem states that for quantum systems with ergodic classical flows, eigenstates are, in average, uniformly distributed on energy surfaces. We show that if N is a hypersurface in t...
$L^q$ bounds on restrictions of spectral clusters to submanifolds for low regularity metrics
$L^q$ restrictions spectral clusters submanifolds low regularity metrics
2012/3/1
We prove $L^q$ bounds on the restriction of spectral clusters to submanifolds in Riemannian manifolds equipped with metrics of $C^{1,\alpha}$ regularity for $0 \leq \alpha \leq 1$. Our results allow f...
We prove a certain unexpected regularity of geodesic restrictions for the (hyperbolic) Casimir operator. We prove a nontrivial bound on L2-norm of a geodesic restriction for eigenfunctions
of the Cas...
Inductions and restrictions for stable equivalences of Morita type
Admissible sets derived equivalences self-injective algebras stable equivalences
2011/1/20
In this paper, we present two methods, induction and restriction procedures, to construct new stable equivalences of Morita type.
A Consistency Proof for Some Restrictions of Tait's Reflection Principles
Consistency Proof Restrictions Tait's Reflection Principles
2010/12/9
In [4] Tait identifies a set of reflection principles which he calls (2)n -reflection
principles which Peter Koellner has shown to be consistent relative to an Erd¨os cardinal
(!) in [1].
Restrictions on the geometry of the periodic vorticity equation
Non-metric Euler equation geodesic flow diffeomor-phism group of the circle
2010/11/30
We prove that several evolution equations arising as mathematical models for fluid motion cannot be realized as metric Euler equations on the Lie group Diff1(S1) of all smooth and orientation-preservi...
The extended data envelopment analysis/discriminant analysis approach of models with undetermined restrictions
Extended data envelopment analysis (DEA)-discriminant analysis probability, linear programming
2010/9/13
To represent an optimization problem as a linear programming (LP), there are several assumptions needed. Among them, there is the ”Deterministic” assumption that requires all the coefficients of the L...
Groups with Rank Restrictions on Non-Subnormal Subgroups
Subnormal subgroups locally soluble-by-finite groups finite Mal'cev rank
2010/2/26
Let G be a group in which every non-subnormal subgroup has finite rank. This paper considers the question as to which extra conditions on such a group G ensure that G has all subgroups subnormal. For ...