Results 11 to 20 of about 67,137 (101)

On the index of pseudo-differential operators on compact Lie groups [PDF]

open access: yes, 2019
In this note we study the analytical index of pseudo-differential operators by using the notion of (infinite dimensional) operator-valued symbols (in the sense of Ruzhansky and Turunen).
Cardona Sanchez, Duvan
core   +1 more source

On measuring unboundedness of the $H^\infty$-calculus for generators of analytic semigroups [PDF]

open access: yes, 2016
We investigate the boundedness of the $H^\infty$-calculus by estimating the bound $b(\varepsilon)$ of the mapping $H^{\infty}\rightarrow \mathcal{B}(X)$: $f\mapsto f(A)T(\varepsilon)$ for $\varepsilon$ near zero.
Schwenninger, Felix
core   +3 more sources

A Spectral Analysis of Linear Operator Pencils on Banach Spaces with Application to Quotient of Bounded Operators

open access: yesInternational Journal of Analysis and Applications, 2015
Let X and Y two complex Banach spaces and (A,B) a pair of bounded linear operators acting on X with value on Y. This paper is concerned with spectral analysis ofthe pair (A;B): We establish some properties concerning the   spectrum of the linear operator
Bekkai Messirdi   +2 more
doaj   +2 more sources

Spectral Simplicity of Apparent Complexity, Part I: The Nondiagonalizable Metadynamics of Prediction

open access: yes, 2017
Virtually all questions that one can ask about the behavioral and structural complexity of a stochastic process reduce to a linear algebraic framing of a time evolution governed by an appropriate hidden-Markov process generator.
Ash R. B.   +21 more
core   +1 more source

Continuous Functional Calculus for Quaternionic Bounded Normal Operators

open access: yes, 2017
In this article we give an approach to define continuous functional calculus for bounded quaternionic normal operators defined on a right quaternionic Hilbert space.Comment: Submitted to a journal. There was a gap in the previous version.
Kumar, P. Santhosh, Ramesh, G.
core   +1 more source

Solutions for Initial Boundary Value Problems for Some Degenerate Equations Systems of Fractional Order with Respect to the Time

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2015
Solvability theorem for the Cauchy problem to a degenerate linear evolution equation of fractional order in a Banach space is used for deriving of necessary and sufficient conditions of solvability for some arising in hydrodynamics equations systems of ...
D.M. Gordievskikh, V.E. Fedorov
doaj  

Strong Szego asymptotics and zeros of the zeta function [PDF]

open access: yes, 2015
Assuming the Riemann hypothesis, we prove the weak convergence of linear statistics of the zeros of L-functions towards a Gaussian field, with covariance structure corresponding to the $\HH^{1/2}$-norm of the test functions.
Bourgade, Paul, Kuan, Jeffrey
core  

Cauchy integrals for the p-Laplace equation in planar Lipschitz domains

open access: yes, 2014
We construct solutions to p-Laplace type equations in unbounded Lipschitz domains in the plane with prescribed boundary data in appropriate fractional Sobolev spaces.
Nyström, Kaj, Rosén, Andreas
core   +1 more source

Exponential type distributions and a generalized functional calculus for generators of $C_0$-groups

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2011
The properties of a dual space to a space of entire functionsof expo-nen-tial type of many complex variables, that on thereal subspace belongs to $L_p(mathbb R^n)$ $(1le ...
V. Ya. Lozynska
doaj  

Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics

open access: yes, 2019
We show for a certain class of operators $A$ and holomorphic functions $f$ that the functional calculus $A\mapsto f(A)$ is holomorphic. Using this result we are able to prove that fractional Laplacians $(1+\Delta^g)^p$ depend real analytically on the ...
Bauer, Martin   +3 more
core   +1 more source

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