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In this paper we prove a subelliptic resolvent estimate for a class of semiclassical non-self-adjoint Schr\"odinger operators with purely imaginary potentials when the spectral parameter is in a parabolic neighborhood of the imaginary axis.

Analysis of PDEs · Mathematics 2016-10-04 Ben Bellis

This paper explores a version of the classical Ces`aro integral operator for the Lebesgue space L2(0, 1) where we discuss its norm, adjoint, spectral properties, and invariant subspaces. An important tool will be semigroups of weighted…

Functional Analysis · Mathematics 2026-04-24 Anil Belli , Ugur Gul , William T. Ross , Aristomenis G. Siskakis

This paper is dedicated to study weighted $L^p$ inequalities for pseudo-differential operators with amplitudes and their commutators by using the new class of weights $A_p^\vc$ and the new BMO function space BMO$_\vc$ which are larger than…

Classical Analysis and ODEs · Mathematics 2012-02-29 The Anh Bui

We define a class of discrete operators acting on infinite, finite or periodic sequences mimicking the standard properties of pseudo-differential operators. In particular we can define the notion of order and regularity, and we recover the…

Analysis of PDEs · Mathematics 2021-10-01 Erwan Faou , Benoît Grébert

Quasiperiodic Jacobi operators arise as mathematical models of quasicrystals and in more general studies of structures exhibiting aperiodic order. The spectra of these self-adjoint operators can be quite exotic, such as Cantor sets, and…

Spectral Theory · Mathematics 2014-12-30 Charles Puelz , Mark Embree , Jake Fillman

We consider pseudodifferential operators on functions on $\R^{n+1}$ which commute with the Euler operator, and can thus be restricted to spaces of functions homogeneous of some given degree. Their symbols can be regarded as functions on a…

Representation Theory · Mathematics 2007-05-23 Michael Pevzner , André Unterberger

We provide a characterisations of nuclear weighted conditional expectation operators on $L^p(\mu)$-spaces, for $1\leq p<\infty$. As a consequence, when the underlying measure space is non-atomic, the only nuclear weighted conditional…

Functional Analysis · Mathematics 2026-02-24 M. S. Al Ghafri , S. Shamsigamchi , Y. Estaremi

Pseudo-differential operator equations with parameter are studied. Uniform separability properties and resolvent estimates are obtained in terms of fractional derivatives. Moreover, maximal regularity properties of the pseudo-differential…

Analysis of PDEs · Mathematics 2017-06-06 Veli Shakhmurov

Quasinormal modes describe the ringdown of compact objects deformed by small perturbations. In generic theories of gravity that extend General Relativity, the linearized dynamics of these perturbations is described by a system of coupled…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Lam Hui , Alessandro Podo , Luca Santoni , Enrico Trincherini

We introduce a point process regression model that is applicable to price models and limit order book models. Hawkes type autoregression in the intensity process is generalized to a stochastic regression to covariate processes. We establish…

Statistics Theory · Mathematics 2015-12-08 Teppei Ogihara , Nakahiro Yoshida

We prove, by use of inductive techniques, that assorted unbounded composition operators in $L^2$-spaces with matrical symbols are cosubnormal.

Functional Analysis · Mathematics 2018-09-06 Piotr Budzynski , Piotr Dymek , Artur Planeta

A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. The associated special functions are eigenfunctions of some shape invariant operators. These operators can…

Mathematical Physics · Physics 2007-05-23 Nicolae Cotfas

The properties of gauge-invariant composite operators and their correlation functions in N=4 SYM are discussed in the analytic superspace formalism. A complete classification of the different types of operators in the theory is given.…

High Energy Physics - Theory · Physics 2009-11-10 P. J. Heslop , P. S. Howe

In this paper, we investigate the convergence of products of conditional expectation operators. We show that if $(\Omega,\cal{F},P)$ is a probability space that is not purely atomic, then divergent sequences of products of conditional…

Probability · Mathematics 2019-07-08 Guolie Lan , Ze-Chun Hu , Wei Sun

The present article contains the descriptive study of light strange baryons $\Lambda$, $\Sigma$, $\Xi$, and $\Omega$. The Regge phenomenology with quasi-linear Regge trajectories has been employed and the relations between Regge slopes,…

High Energy Physics - Phenomenology · Physics 2023-05-24 Juhi Oudichhya , Keval Gandhi , Ajay Kumar Rai

We study the typical behavior of bounded linear operators on infinite dimensional complex separable Hilbert spaces in the norm, strong-star, strong, weak polynomial and weak topologies. In particular, we investigate typical spectral…

Functional Analysis · Mathematics 2014-05-01 Tanja Eisner , Tamas Matrai

We study weighted composition operators on Hilbert spaces of analytic functions on the unit ball with kernels of the form $(1-<z,w>)^{-\gamma}$ for $\gamma>0$. We find necessary and sufficient conditions for the adjoint of a weighted…

Functional Analysis · Mathematics 2012-07-26 Trieu Le

In this paper, we study the local spectral properties for both unilateral and bilateral weighted shift operators.

Functional Analysis · Mathematics 2007-05-23 A. Bourhim

We consider several differential operators on compact almost-complex, almost-Hermitian and almost-K\"ahler manifolds. We discuss Hodge Theory for these operators and a possible cohomological interpretation. We compare the associated spaces…

Differential Geometry · Mathematics 2020-03-09 Nicoletta Tardini , Adriano Tomassini

We consider translates of functions in $L^2(\RRd)$ along an irregular set of points. Introducing a notion of pseudo-Gramian function for the irregular case, we obtain conditions for a family of irregular translates to be a Bessel sequence…

Classical Analysis and ODEs · Mathematics 2014-07-17 Peter Balazs , Sigrid Heineken