Results 11 to 20 of about 577,125 (180)
Abel’s Functional Equation and Eigenvalues of Composition Operators on Spaces of Real Analytic Functions [PDF]
We obtain full description of eigenvalues and eigenvectors of composition operators Cϕ : A (R) → A (R) for a real analytic self map ϕ : R → R as well as an isomorphic description of corresponding eigenspaces. We completely characterize those ϕ for which Abel’s equation f ◦ ϕ = f + 1 has a real analytic solution on the real line.
Bonet, José, Domański, Paweł
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The real-analytic solutions of the Abel functional equation [PDF]
The authors continue to investigate the Abel equation \[ \phi(Fx)-\phi(x)=1, \qquad x \in X \] where \(\phi:X \to \mathbb R\) is the unknown function, \(X\) is a topological space and \(F:X \to X\) is a continuous mapping. In a previous paper [Stud. Math. 127, No.
Belitskii, G., Lyubich, Yu.
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Roots of Two Transcendental Equations as Functions of a Continuous Real Parameter [PDF]
The roots, λ \lambda and η \eta , of the transcendental equations j l ( α λ ) y l ( λ ) = j l (
Pexton, Robert L., Steiger, Arno D.
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Abelian Surfaces over totally real fields are Potentially Modular [PDF]
We show that abelian surfaces (and consequently curves of genus 2) over totally real fields are potentially modular. As a consequence, we obtain the expected meromorphic continuation and functional equations of their Hasse--Weil zeta functions.
Boxer, George +3 more
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Generating Functions for q-Apostol Type Frobenius–Euler Numbers and Polynomials
The aim of this paper is to construct generating functions, related to nonnegative real parameters, for q-Eulerian type polynomials and numbers (or q-Apostol type Frobenius–Euler polynomials and numbers).
Yilmaz Simsek
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We study the solvability of some nonlinear functional integral equations in the Banach algebra of real functions defined, continuous, and bounded on the real half axis.
Józef Banaś, Szymon Dudek
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MAIN CONTRACTOR – SUBCONTRACTOR RELATIONS IN THE FRAMEWORK OF CONTRACT THEORY [PDF]
The purpose of this paper is to study optimal relationships between customer, main contractor, and subcontractor. We make the following assumptions: main contractor and subcontractor have types that specify expenses and outcomes for all actions that can ...
Iryna Nykyforchyn, Nataliia Suduk
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An Iterative Method for Curve Adjustment Based on Optimization of a Variable and its Application
An iterative method for the adjustment of curves is obtained by applying the least squares method reiteratively in functional subclasses, each defined by one parameter, after assigning values to the rest of the parameters which determine a previously ...
ROGELIO ACOSTA +4 more
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Solving simple quaternionic differential equations [PDF]
The renewed interest in investigating quaternionic quantum mechanics, in particular tunneling effects, and the recent results on quaternionic differential operators motivate the study of resolution methods for quaternionic differential equations. In this
Aslaksen H. +10 more
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In this present paper, we introduce a new measure of noncompactness on the space consisting of all real functions which are $n$ times bounded and continuously differentiable on $\mathbb{R}_+$.
Reza Allahyari +2 more
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