Results 11 to 20 of about 7,097,033 (76)

On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]

open access: yes, 2011
Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Blower, Gordon
core   +5 more sources

Unbounded B-Fredholm operators on Hilbert spaces [PDF]

open access: yes, 2008
This paper is concerned with the study of a class of closed linear operators densely defined on a Hilbert space H and called B-Fredholm operators.
Berkani, M.   +3 more
core   +1 more source

Constraints on chiral operators in N=2 SCFTs [PDF]

open access: yes, 2014
: We study certain higher-spin chiral operators in (formula presented)(formula presented) superconformal field theories (SCFTs). In Lagrangian theories, or in theories related to Lagrangian theories by generalized Argyres-Seiberg-Gaiotto duality (“type A”
Matthew Buican   +5 more
core   +1 more source

Discrete Tracy--Widom operators. [PDF]

open access: yes, 2009
Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distribution of large self-adjoint random matrices from the generalized unitary ensembles.
McCafferty, Andrew, Blower, Gordon
core   +4 more sources

Cyclic behaviour of Volterra composition operators [PDF]

open access: yes, 2011
We determine the cyclic behaviour of Volterra composition operators, which are defined as $(V_\phif)(x) =\int_0^{\phi(x)}f(t) dt$, $f ? L^p[0, 1]$, 1\leq p <\infty$,where $?$ is a measurable self-map of [0, 1].
Stanislav Shkarin   +5 more
core   +1 more source

Hankel operators that commute with second order differential operators. [PDF]

open access: yes, 2008
Suppose that $\Gamma$ is a continuous and self-adjoint Hankel operator on $L^2(0, \infty )$ with kernel $\phi (x+y)$ and that $Lf=-(d/dx)(a(x)df/dx)+b(x)f(x) with $a(0)=0$.
Blower, Gordon
core   +5 more sources

Perturbation theory of p-adic Fredholm and semi-Fredholm operators [PDF]

open access: yes, 2004
The main goal of this paper is to prove that Fredholm and semi-Fredholm operators between p-adic (or non-archimedean) Banach spaces, as well as the index of those that are Fredholm, are preserved when they are perturbed by a small operator.
C Perez-Garcia   +3 more
core   +1 more source

Integrable operators and squares of Hankel operators. [PDF]

open access: yes, 2008
Integrable operators arise in random matrix teory, where they describe the asymptotic distributions of large self-adjoint random matrices from the generalized unitary ensembles.
Blower, Gordon
core   +5 more sources

Closed Fredholm and semi-Fredholm operators, essential spectra and perturbations [PDF]

open access: yes, 1975
In these notes we provide rather extensive characterizations of closed densely defined Fredholm and semi-Fredholm operators on a Banach space, and their perturbation classes.
Williams, Vernon
core   +1 more source

Samuel multiplicity and the structure of semi-Fredholm operators [PDF]

open access: yes, 2004
Two numerical invariants refining the Fredholm index are introduced for any semi-Fredholm operator in such a way that their difference calculates the Fredholm index. These two invariants are inspired by Samuel multiplicity in commutative algebra, and can
Fang, Xiang
core   +1 more source

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