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Heat kernel for reflected diffusion and extension property on uniform domains
We study reflected diffusion on uniform domains where the underlying space admits a symmetric diffusion that satisfies sub-Gaussian heat kernel...
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Continuous Extension of Holomorphic Map**s
In this chapter introduce the Kobayashi-Royden and other invariant metrics, and prove continuous extension to the boundary of proper holomorphic maps...
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Discrete-to-Continuous Extensions: Lovász Extension and Morse Theory
This is the first of a series of papers that develop a systematic bridge between constructions in discrete mathematics and the corresponding...
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The Continuous Representation Property in Utility Theory
A topological space \((X,\tau )\) satisfies the Continuous...
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Universal approximation property of a continuous neural network based on a nonlinear diffusion equation
Recently, differential equation-based neural networks have been actively studied. This paper discusses the universal approximation property of a...
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L2 Extension and Effectiveness of Strong Openness Property
In this note, we present an L 2 extension approach to the effectiveness result of strong openness property of multiplier ideal sheaves.
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Weyl’s type theorems for linear relations satisfying the single valued extension property
The classes of bounded operators on Banach spaces which satisfy a-Weyl’s theorem, Weyl’s theorem and the property (w) were studied by many authors....
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L2 Extension and Effectiveness of Lp Strong Openness Property
In this note, we present an L 2 extension approach to the effectiveness result of L p strong openness property of multiplier ideal sheaves.
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Abstract Boundaries and Continuous Extension of Biholomorphisms
We present different constructions of abstract boundaries for bounded complete (Kobayashi) hyperbolic domains in ℂ d , d ≥ 1. These constructions...
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On Extension of Multilinear Operators and Homogeneous Polynomials in Vector Lattices
We establish the existence of a simultaneous extension from a majorizing sublattice in the classes of regular multilinear operators and...
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Existence, construction and extension of continuous solutions of an iterative equation with multiplication
The iterative equation is an equality with an unknown function and its iterates, most of which found from references are a linear combination of...
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On Extension of Positive Multilinear Operators
Using the linearization of positive multilinear operators by means of the Fremlin tensor product of vector lattices makes it possible to show that...
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Unbounded continuous operators and unbounded Banach–Saks property in Banach lattices
Motivated by the equivalent definition of a continuous operator between Banach spaces in terms of weakly null nets, we introduce unbounded continuous...
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Identifiability, the KL Property in Metric Spaces, and Subgradient Curves
Identifiability, and the closely related idea of partial smoothness, unify classical active set methods and more general notions of solution...
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Relation Between the Eventual Continuity and the E-property for Markov-Feller Semigroups
We investigate some relations between two kinds of semigroup regularities, namely the e-property and the eventual continuity, both of which...
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Continuous deformation of the Bowen-Series map associated to a cocompact triangle group
In 1979, for each signature for Fuchsian groups of the first kind, Bowen and Series constructed an explicit fundamental domain for one group of the...
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Convex duality for partial hedging of American options: continuous price processes
Partial hedging of American options is an interesting minimax problem and in this paper we establish its dual problem that concerns only...