Results 71 to 80 of about 85,492 (193)
The second moment of sums of Hecke eigenvalues II
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let f$f$ be a holomorphic Hecke cusp form of weight k$k$ for SL2(Z)$\mathrm{SL}_2(\mathbb {Z})$, and let (λf(n))n⩾1$(\lambda _f(n))_{n\geqslant 1}$ denote its sequence of normalised Hecke eigenvalues. We compute the first and second moments of the sums S(x,f)=∑x⩽n⩽2xλf(n)$\mathcal {S}(x,f)=\sum _{x\leqslant n\leqslant 2x} \lambda _f(n)$, on ...
Ned Carmichael
wiley +1 more source
A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
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Generalized transversely projective structure on a transversely holomorphic foliation
International Journal of Mathematics and Mathematical Sciences, 2002 The results of Biswas (2000) are extended to the situation of transversely projective foliations. In particular, it is shown that a transversely holomorphic foliation defined using everywhere locally nondegenerate maps to a projective space ℂℙn, and ...
Indranil Biswas
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Spectral action on noncommutative torus
, 2008 The spectral action on noncommutative torus is obtained, using a Chamseddine--Connes formula via computations of zeta functions. The importance of a Diophantine condition is outlined.
Essouabri, D. +3 more
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Denseness of Numerical Radius Attaining Holomorphic Functions
Journal of Inequalities and Applications, 2009 We study the density of numerical radius attaining holomorphic functions on certain Banach spaces using the Lindenstrauss method. In particular, it is shown that if a complex Banach space is locally uniformly convex, then the set of all numerical ...
Lee HanJu
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Weighted Composition Operators from F(p,q,s) Spaces to Hμ∞ Spaces
Abstract and Applied Analysis, 2009 Let H(B) denote the space of all holomorphic functions on the unit ball B. Let u∈H(B) and φ be a holomorphic self-map of B. In this paper, we investigate the boundedness and compactness of the weighted composition operator uCφ from the general function ...
Xiangling Zhu
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Le Matematiche, 2014 Our purpose in this paper is to define a linear operator F_{p,q,s}[\alpha_{1},m], then applying it to obtain some results on subordination and superordination preserving properties of holomorphic multivalent functions in the open unit disc.
Abdul Rahman S. Juma, Fateh S. Aziz
doaj
Reflexivity of the isometry group of some classical spaces
, 2001 We investigate the reflexivity of the isometry group and the automorphism group of some important metric linear spaces and algebras. The paper consists of the following sections: 1. Preliminaries. 2. Sequence spaces. 3. Spaces of measurable functions. 4.
Molnar, Lajos, Sanchez, Felix Cabello
core
Multiply Universal Holomorphic Functions
Journal of Approximation Theory, 1997 The problem of the existence of so-called ``universal functions'' (compare W. Luh, Holomorphic monsters. [J. Approximation Theory 53, No. 2, 128-144 (1988; Zbl 0669.30020)] for the notations and the history of the topic) is generalized. The main result is the following: Let \({\mathcal O} \subset\mathbb{C}\), \({\mathcal O} \neq\mathbb{C}\), be an open
openaire +1 more source
Bounded Subsets of Classes MpX of Holomorphic Functions
Journal of Function Spaces, 2017 Some characterizations of boundedness in Mp(X) will be described, where Mp(X ...
Yasuo Iida
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