Results 21 to 30 of about 125 (119)
Hypoellipticity in infinite dimensions [PDF]
Progress in Analysis and Its Applications, 2010 ISAAC 09 conference ...
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On the completeness of the space OC$\mathcal {O}_C$
Mathematische Nachrichten, Volume 298, Issue 8, Page 2740-2748, August 2025.Abstract We explicitly prove the compact regularity of the LF$\mathcal {LF}$‐space of double sequences limk→(s⊗̂(ℓp)k)≅limk→(s⊗̂(c0)−k)$ {\lim _{k\rightarrow }} (s\widehat{\otimes }(\ell ^p)_{k}) \cong {\lim _{k\rightarrow }}(s\widehat{\otimes }(c_0)_{-k})$, 1≤p≤∞$1\le p\le \infty$.
Michael Kunzinger, Norbert Ortner
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ON THE HYPOELLIPTICITY WITH A BIG LOSS OF DERIVATIVES
Kyushu Journal of Mathematics, 2005 The authors consider the class of pseudo-differential operators studied by Grushin, Sjöstrand and others, see in particular \textit{L. Boutet de Monvel}, \textit{A. Grigis} and \textit{B. Helffer} [Astérisque 34--35, 93--121 (1976; Zbl 0344.32009)]. Besides vanishing to order \(k\) on the characteristic manifold \(\Sigma\) and transversal ellipticity ...
PARENTI, CESARE, PARMEGGIANI, ALBERTO
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A Theory of Generalized Coordinates for Stochastic Differential Equations
Studies in Applied Mathematics, Volume 154, Issue 5, May 2025.ABSTRACT Stochastic differential equations are ubiquitous modeling tools in applied mathematics and the sciences. In most modeling scenarios, random fluctuations driving dynamics or motion have some nontrivial temporal correlation structure, which renders the SDE non‐Markovian; a phenomenon commonly known as ‘colored’’ noise.
Lancelot Da Costa +7 more
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Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract Using iterated uniform local completion, we introduce a notion of continuous CR$CR$ functions on locally closed subsets of reduced complex spaces, generalising both holomorphic functions and CR$CR$ functions on CR$CR$ submanifolds. Under additional assumptions of set‐theoretical weak pseudo‐concavity, we prove optimal maximum modulus ...
Mauro Nacinovich, Egmont Porten
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Parameter Estimation for Fractional Diffusion Process with Discrete Observations
Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019 This paper deals with the problem of estimating the parameters for fractional diffusion process from discrete observations when the Hurst parameter H is unknown. With combination of several methods, such as the Donsker type approximate formula of fractional Brownian motion, quadratic variation method, and the maximum likelihood approach, we give the ...
Yuxia Su, Yutian Wang, Yong H. Wu
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On linearization and uniqueness of preduals
Mathematische Nachrichten, Volume 298, Issue 3, Page 955-975, March 2025.Abstract We study strong linearizations and the uniqueness of preduals of locally convex Hausdorff spaces of scalar‐valued functions. Strong linearizations are special preduals. A locally convex Hausdorff space F(Ω)$\mathcal {F}(\Omega)$ of scalar‐valued functions on a nonempty set Ω$\Omega$ is said to admit a strong linearization if there are a ...
Karsten Kruse
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A comparison principle for nonlinear heat Rockland operators on graded groups
Bulletin of the London Mathematical Society, Volume 50, Issue 5, Page 753-758, October 2018., 2018 Abstract In this note we show a comparison principle for nonlinear heat Rockland operators on graded groups. We give a simple proof for it using purely algebraic relations. As an application of the established comparison principle we prove the global in t‐boundedness of solutions for a class of nonlinear equations for the heat p‐sub‐Laplacian on ...
Michael Ruzhansky, Durvudkhan Suragan
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Bounds on Riesz Means of the Eigenvalues for Baouendi–Grushin Type Operators
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The aim of this paper is to consider spectral inequalities of a class of Baouendi–Grushin type operators in cylinders. Such operators are hypoelliptic and we obtain non‐Weyl type inequalities depending on the rate of the degeneracy. We also give an example where all eigenvalues and eigenfunctions are computed explicitly.
Alaa Aljahili, Ari Laptev, Shikha Binwal
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Dunkl convolution and elliptic regularity for Dunkl operators
Mathematische Nachrichten, Volume 297, Issue 12, Page 4416-4436, December 2024.Abstract We discuss in which cases the Dunkl convolution u∗kv$u*_kv$ of distributions u,v$u,v$, possibly both with non‐compact support, can be defined and study its analytic properties. We prove results on the (singular‐)support of Dunkl convolutions.
Dominik Brennecken
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