Results 11 to 20 of about 8,825 (229)

One-Sided Invertibility of Toeplitz Operators on the Space of Real Analytic Functions on the Real Line [PDF]

Integral Equations and Operator Theory, 2020
AbstractWe show that a Toeplitz operator on the space of real analytic functions on the real line is left invertible if and only if it is an injective Fredholm operator, it is right invertible if and only if it is a surjective Fredholm operator. The characterizations are given in terms of the winding number of the symbol of the operator.
M. Jasiczak, A. Golińska
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On boundedness of the Hilbert transform on Marcinkiewicz spaces

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
We study boundedness properties of the classical (singular) Hilbert transform (Hf)(t) = p.v.1/π ∫R f(s)/(t − s) ds, acting on Marcinkiewicz spaces. The Hilbert transform is a linear operator which arises from the study of boundary values of the real and
N.T. Bekbayev, K.S. Tulenov
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Spaces of Vector Valued Real Analytic Functions [PDF]

Transactions of the American Mathematical Society, 1964
In this paper we study the spaces of weakly and strongly analytic functions with values in a locally convex topological vector space F and we look for conditions on F such that these two spaces (which are different in general) should coincide. In the case of vector valued C' functions and of vector valued holomorphic functions, Grothendieck proved (cf.
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Deformations of real analytic functions and the natural stratification of the space of real analytic functions [PDF]

Nagoya Mathematical Journal, 1976
Let A be a real analytic set, M be a compact real analytic manifold and f : A × M → R be a real analytic function. Then we have a family of real analytic functions fa, a ∈ A, on M defined by fa(X) = f(a, x).
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Hypercyclic composition operators on spaces of real analytic functions [PDF]

Mathematical Proceedings of the Cambridge Philosophical Society, 2012
AbstractWe study the dynamical behaviour of composition operatorsCϕdefined on spaces(Ω) of real analytic functions on an open subset Ω of ℝd. We characterize when such operators are topologically transitive, i.e. when for every pair of non-empty open sets there is an orbit intersecting both of them.
Bonet Solves, José Antonio, Domański, Paweł   +1 more
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Spatial analyticity of solutions of a nonlocal perturbation of the KdV equation

Electronic Journal of Qualitative Theory of Differential Equations, 2005
Let $\mathcal{H}$ denote the Hilbert transform and $\eta \ge 0$. We show that if the initial data of the following problems $ u_t + u u_x + u_{xxx} + \eta(\mathcal{H} u_x + \mathcal{H} u_{xxx}) = 0, \, u(\cdot , 0) = \phi (\cdot)$ and $ v_t + \frac ...
B. Alvarez Samaniego
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Analytic sets of reals and the density function in the Cantor space [PDF]

European Journal of Mathematics, 2018
31 pages.
A. Andretta, R. Camerlo
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Yang–Mills solutions and dyons on cylinders over coset spaces with Sasakian structure

Nuclear Physics B, 2016
We present solutions of the Yang–Mills equation on cylinders R×G/H over coset spaces of odd dimension 2m+1 with Sasakian structure. The gauge potential is assumed to be SU(m)-equivariant, parameterized by two real, scalar-valued functions.
Maike Tormählen
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Hadamard multipliers on spaces of real analytic functions

Advances in Mathematics, 2013
The authors' aim is to find criteria for global solvability of an Euler differential equation \[ \sum_{n=0}^{+\infty}a_n\theta^nf(t)=g(t),\quad t\in\mathbb{R},\,\,(a_n)_n\subset\mathbb{C}. \] Here, \(f,g\) are analytic functions on some open interval \(I\subset\mathbb{R}\). The main topic behind this theme is the notion of a multiplier. The fundamental
Domański, Paweł, Langenbruch, Michael
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Integration in Cones [PDF]

Logical Methods in Computer Science
Measurable cones, with linear and measurable functions as morphisms, are a model of intuitionistic linear logic and of call-by-name probabilistic PCF which accommodates "continuous data types" such as the real line.
Thomas Ehrhard, Guillaume Geoffroy
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