Results 11 to 20 of about 1,287,488 (289)
A New Resolvent Equation for the $$S$$ S -Functional Calculus [PDF]
The Journal of Geometric Analysis, 2014 The S-functional calculus is a functional calculus for $(n+1)$-tuples of non necessarily commuting operators that can be considered a higher dimensional version of the classical Riesz-Dunford functional calculus for a single operator. In this last calculus, the resolvent equation plays an important role in the proof of several results.
Alpay, Daniel +3 more
openaire +6 more sources
GENERALIZED RESOLVENTS OF OPERATORS GENERATED BY INTEGRAL EQUATIONS
Проблемы анализа, 2018 We define a minimal operator L0 generated by an integral equation with an operator measure and give a description of the adjoint operator L∗0. We prove that every generalized resolvent of L0 is an integral operator and give a description of boundary ...
V. M. Bruk
doaj +2 more sources
Invariant Imbedding as a Generalization of the Resolvent Equation
Journal of Mathematical Physics, 1967 Invariant imbedding equations for the Green's function of a general linear operator are shown to derive from a generalization of the resolvent equation of the theory of operators. Two applications are given: the neutron, or photon, transport in an arbitrary finite body, and the quantum-mechanical theory of collision.
André Mockel, Mockel, André
openaire +3 more sources
(a,k)-Regularized C-Resolvent Families: Regularity and Local Properties [PDF]
Abstract and Applied Analysis, 2009 We introduce the class of (local) (a,k)-regularized C-resolvent families and discuss its basic structural properties. In particular, our analysis covers subjects like regularity, perturbations, duality, spectral properties and subordination principles ...
Marko Kostic
doaj +2 more sources
A Volterra equation with nonintegrable resolvent [PDF]
Proceedings of the American Mathematical Society, 1979 A counterexample, which shows that the resolvent associated with a nonnegative, nonincreasing function need not be integrable, is constructed.
Gustaf Gripenberg
openaire +3 more sources
Uniform resolvent estimates for a non-dissipative Helmholtz equation [PDF]
, 2014 We study the high frequency limit for a non-dissipative Helmholtz equation. We first prove the absence of eigenvalue on the upper half-plane and close to an energy which satisfies a weak damping assumption on trapped trajectories.
Royer, Julien
core +8 more sources
Resolvent estimates for 2-dimensional perturbations of plane Couette flow [PDF]
Electronic Journal of Differential Equations, 2002 We present results concerning resolvent estimates for the linear operator associated with the system of differential equations governing 2 dimensional perturbations of plane Couette flow.
Pablo Braz e Silva
doaj +1 more source
Browder S-resolvent equation in quaternionic setting [PDF]
, 2023 This paper is devoted to the study of the S-eigenvalue of finite type of a bounded right quaternionic linear operator acting in a right quaternionic Hilbert space. The study is based on the different properties of the Riesz projection associated with the
Baloudi, H., Zmouli, H., Jeribi, A.
core +1 more source
Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators [PDF]
, 2013 In this note self-adjoint realizations of second order elliptic differential expressions with non-local Robin boundary conditions on a domain Ω⊂Rn with smooth compact boundary are studied. A Schatten--von Neumann type estimate for the singular values of
Lotoreichik, Vladimir +2 more
core +2 more sources
On the Pseudo-Resolvent to the Kernel of an Integral Equations [PDF]
Transactions of the American Mathematical Society, 1912 The method developed by FredholmI for the solution of a non-homogeneous linear integral equation is comparatively simple in case the corresponding homogeneous equation admits no solutions not identically zero; in terms of the determinant and the first minor for the kernel of the given equation a resolvent function is defined, by means of which the ...
openaire +1 more source