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In this paper we introduce and study several new Hilbert-type operators acting between the weighted Fock spaces. We provide some sufficient and necessary conditions for the boundedness and compactness of certain Hilbert-type operators from…

Functional Analysis · Mathematics 2022-10-04 Jianjun Jin , Shuan Tang , Xiaogao Feng

We study a system of partial differential equations defined by commuting family of differential operators with regular singularities. We construct ideally analytic solutions depending on a holomorphic parameter. We give some explicit…

Analysis of PDEs · Mathematics 2007-05-23 Toshio Oshima

We obtain criteria for the boundedness and compactness of weighted composition operators between different Fock spaces in $\mathbb{C}^n$. We also give estimates for essential norm of these operators.

Complex Variables · Mathematics 2018-01-26 Pham Trong Tien , Le Hai Khoi

In this paper we introduce a very general setting dealing with the superposition of operators of any positive order and provide a systematic study of them. We also provide examples and counterexamples, as well as characterizing properties…

Analysis of PDEs · Mathematics 2025-10-10 Serena Dipierro , Sven Jarohs , Enrico Valdinoci

We investigate the satisfiability and finite satisfiability problem for probabilistic computation-tree logic (PCTL) where operators are not restricted by any step bounds. We establish decidability for several fragments containing…

Logic in Computer Science · Computer Science 2018-07-02 Jan Křetínský , Alexej Rotar

This paper continues the investigation of the logic of competing theories, be they scientific, social, political etc. We introduce a many-valued, multi-type modal language which we endow with relational semantics based on enriched reflexive…

Modular and reconfigurable robotic systems have been designed to provide a customized solution for the non-repetitive tasks to be performed in a constrained environment. Customized solutions are normally extracted from task-based…

Robotics · Computer Science 2021-11-02 Anubhav Dogra , Sakshay Mahna , Srikant Sekhar Padhee , Ekta Singla

Operator splitting methods allow to split the operator describing a complex dynamical system into a sequence of simpler subsystems and treat each part independently. In the modeling of dynamical problems, systems of (possibly coupled)…

Dynamical Systems · Mathematics 2023-09-01 Andreas Bartel , Malak Diab , Andreas Frommer , Michael Günther

We review recent progress in potential theory of second-order elliptic operators and on the metastable behavior of Markov processes.

Probability · Mathematics 2017-12-12 C. Landim

This paper examines the structure of poset matrices by formulating a set of new construction rules for this purpose. In this direction, the technique of partial composition operation will be introduced as the basis for the construction of…

Combinatorics · Mathematics 2024-01-09 Arnauld Mesinga Mwafise

We describe a natural generalization of irreducibility in order lattices with arbitrary metrics. We analyse the special cases of valuation metrics and more general metrics for lattices. This article is mainly based on a part of the author's…

Metric Geometry · Mathematics 2010-05-28 Andreas Lochmann

We analyze a class of modal logics rendered insensitive to reflexivity by way of a modification to the semantic definition of the modal operator. We explore the extent to which these logics can be characterized, and prove a general…

Logic · Mathematics 2019-02-20 David Gilbert , Giorgio Venturi

Representations are essential to mathematically model phenomena, but there are many options available. While each of those options provides useful properties with which to solve problems related to the phenomena in study, comparing results…

Logic in Computer Science · Computer Science 2025-10-01 Luke Bayzid , Alexandre Madeira , Manuel A. Martins

Some new characterizations of nonnegative Hamiltonian operator matrices are given. Several necessary and sufficient conditions for an unbounded nonnegative Hamiltonian operators to be invertible are obtained; so that the main results in the…

Functional Analysis · Mathematics 2013-09-17 Guohai Jin , Guolin Hou , Alatancang Chen , Deyu Wu

It is known that every relatively pseudocomplemented lattice is residuated and, moreover, it is distributive. Unfortunately, non-distributive lattices with a unary operation satisfying properties similar to relative pseudocomplementation…

Logic · Mathematics 2019-01-23 Ivan Chajda , Helmut Länger

Recent advances in the theory of complex symmetric operators are presented and related to current studies in non-hermitian quantum mechanics. The main themes of the survey are: the structure of complex symmetric operators, $C$-selfadjoint…

Functional Analysis · Mathematics 2014-09-17 Stephan Ramon Garcia , Emil Prodan , Mihai Putinar

In this article we discuss the solvability of some class of fully nonlinear equations, and equations with p-Laplacian in more general conditions by using a new approach given in [1] for studying the nonlinear continuous operator. Moreover…

Analysis of PDEs · Mathematics 2012-08-14 Kamal N. Soltanov

Using an alternate description of support varieties of pairs of modules over a complete intersection, we give several new applications of such varieties, including results for support varieties of intermediate complete intersections.…

Commutative Algebra · Mathematics 2015-09-28 Petter Andreas Bergh , David A. Jorgensen

We consider weighted graphs, we equip them with a metric structure given by a weighted distance, and we discuss essential self-adjointness for weighted graph Laplacians and Schr\"odinger operators in the metrically non complete case.

Spectral Theory · Mathematics 2013-03-05 Yves Colin De Verdière , Nabila Torki-Hamza , Francoise Truc

We prove a topological completeness theorem for the modal logic GLP containing operators $\langle\lambda\rangle$ for $\lambda \in$ Ord intended to capture progressively stronger notions of consistency in mathematical theories. We show that,…

Logic · Mathematics 2019-05-07 Juan P. Aguilera
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