A maximal theorem for holomorphic semigroups. [PDF]
Let X be a closed linear subspace of the Lebesgue space L^p(Omega ; mu); let -A be an invertible linear operator that is the generator of abounded holomorphic semigroup T_t on X.
Doust, Ian, Blower, Gordon
core +4 more sources
Schrödinger operators with δ and δ′-potentials supported on hypersurfaces [PDF]
Self-adjoint Schrödinger operators with δ and δ′-potentials supported on a smooth compact hypersurface are defined explicitly via boundary conditions.
Lotoreichik, Vladimir +2 more
core +4 more sources
New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces [PDF]
Some new inequalities of the Kantorovich type are established. They hold for larger classes of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical results in the case when the ...
Dragomir, Sever S
core +6 more sources
Fractional calculus of periodic distributions [PDF]
Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson +2 more
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Functional calculus for a class of unbounded linear operators on some non-archimedean Banach spaces [PDF]
summary:This paper is mainly concerned with extensions of the so-called Vishik functional calculus for analytic bounded linear operators to a class of unbounded linear operators on $c_0$.
Attimu, Dodzi +3 more
core +1 more source
Norm and Numerical Radius Inequalities for Two Linear Operators in Hilbert Spaces [PDF]
Some inequalities for the norm and numerical radius of two bounded linear operators in Hilbert spaces are ...
Dragomir, Sever S
core +5 more sources
Reduction in a linear lambda-calculus with applications to operational semantics [PDF]
We study beta-reduction in a linear lambda-calculus derived from Abramsky's linear combinatory algebras. Reductions are classified depending on whether the redex is in the computationally active part of a term ("surface" reductions) or whether it is ...
Simpson, Alexander, Alex Simpson
core +1 more source
Discrete Exterior Calculus [PDF]
This thesis presents the beginnings of a theory of discrete exterior calculus (DEC). Our approach is to develop DEC using only discrete combinatorial and geometric operations on a simplicial complex and its geometric dual.
Hirani, Anil Nirmal
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Microlocal Analysis of Some Isospectral Deformations [PDF]
We study the microlocal structure of the examples of isospectral deformations of Riemannian manifolds given by D. DeTurck and C. Gordon in [DeT-G1]. The Schwartz kernel of the intertwining operators considered by them may be written as an oscillatory ...
Marhuenda, Francisco
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Norm and Numerical Radius Inequalities for a Product of Two Linear Operators in Hilbert Spaces [PDF]
The main aim of the present paper is to establish some norm and numerical radius inequalities for the composite operator BA under suitable assumptions for the transform Cα ,β (T) := (T∗ −α I)(β I−T) , where α ,β ∈ C and T ∈ B(H), of the operators ...
S. S. Dragomir +2 more
core +2 more sources

