Results 11 to 20 of about 138,377 (201)

Spectral decomposition of fractional operators and a reflected stable semigroup [PDF]

open access: yes, 2016
In this paper, we provide the spectral decomposition in Hilbert space of the $\mathcal{C}_0$-semigroup $P$ and its adjoint $\hatP$ having as generator, respectively, the Caputo and the right-sided Riemann-Liouville fractional derivatives of index ...
Patie, Pierre, Zhao, Yixuan
core   +2 more sources

On the Spectral Properties of Matrices Associated with Trend Filters [PDF]

open access: yes, 2008
This paper is concerned with the spectral properties of matrices associated with linear filters for the estimation of the underlying trend of a time series.
Luati, Alessandra, Proietti, Tommaso
core   +2 more sources

Supersymmetric quantum theory and (non-commutative) differential geometry [PDF]

open access: yes, 1996
We reconsider differential geometry from the point of view of the quantum theory of non-relativistic spinning particles, which provides examples of supersymmetric quantum mechanics.
Froehlich, J.   +2 more
core   +3 more sources

Parity flow as ${\mathbb Z}_2$-valued spectral flow [PDF]

open access: yes, 2019
This note is about the topology of the path space of linear Fredholm operators on a real Hilbert space. Fitzpatrick and Pejsachowicz introduced the parity of such a path, based on the Leray-Schauder degree of a path of parametrices.
Doll, Nora   +2 more
core   +3 more sources

Resolvent Positive Linear Operators Exhibit the Reduction Phenomenon [PDF]

open access: yes, 2011
The spectral bound, s(a A + b V), of a combination of a resolvent positive linear operator A and an operator of multiplication V, was shown by Kato to be convex in b \in R.
Cantrell   +15 more
core   +3 more sources

Inverse Spectral Theory for Sturm-Liouville Operators with Distributional Potentials [PDF]

open access: yes, 2013
We discuss inverse spectral theory for singular differential operators on arbitrary intervals $(a,b) \subseteq \mathbb{R}$ associated with rather general differential expressions of the type \[\tau f = \frac{1}{r} \left(- \big(p[f' + s f]\big)' + s p[f' +
Eckhardt, Jonathan   +3 more
core   +1 more source

The p-Laplace equation in domains with multiple crack section via pencil operators [PDF]

open access: yes, 2014
The p-Laplace equation $$ \n \cdot (|\n u|^n \n u)=0 \whereA n>0, $$ in a bounded domain $\O \subset \re^2$, with inhomogeneous Dirichlet conditions on the smooth boundary $\p \O$ is considered.
Alvarez-Caudevilla, Pablo   +1 more
core   +2 more sources

Spectral properties of singular Sturm-Liouville operators with indefinite weight sgn x [PDF]

open access: yes, 2007
We consider a singular Sturm-Liouville expression with the indefinite weight sgn x. To this expression there is naturally a self-adjoint operator in some Krein space associated.
Karabash, I., Trunk, C.
core   +2 more sources

Quantitative Anderson localization of Schr\"odinger eigenstates under disorder potentials

open access: yes, 2019
This paper concerns spectral properties of linear Schr\"odinger operators under oscillatory high-amplitude potentials on bounded domains. Depending on the degree of disorder, we prove the existence of spectral gaps amongst the lowermost eigenvalues and ...
Altmann, Robert   +2 more
core   +1 more source

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