Results 1 to 10 of about 86,055 (204)
Functions holomorphic along holomorphic vector fields [PDF]
Journal of Geometric Analysis, 2008 The main result of the paper is the following generalization of Forelli's theorem: Suppose F is a holomorphic vector field with singular point at p, such that F is linearizable at p and the matrix is diagonalizable with the eigenvalues whose ratios are ...
B.V. Shabat +7 more
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Holomorphic Cliffordian functions [PDF]
Advances in Applied Clifford Algebras, 1998 The aim of this paper is to put the fundations of a new theory of functions, called holomorphic Cliffordian, which should play an essential role in the generalization of holomorphic functions to higher dimensions. Let R\_{0,2m+1} be the Clifford algebra of R^{2m+1} with a quadratic form of negative signature, D = \sum\_{j=0}^{2m+1} e\_j {\partial\over \
Laville, Guy, Ramadanoff, Ivan
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Ideal topological flat bands in chiral symmetric moiré systems from non-holomorphic functions [PDF]
Nature CommunicationsRecent studies on topological flat bands and their fractional states have revealed increasing similarities between moiré flat bands and Landau levels (LLs). For instance, like the lowest LL, topological exact flat bands with ideal quantum geometry can be
Siddhartha Sarkar +3 more
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Weighted Composition Operators from H∞ to α,m-Bloch Space on Cartan-Hartogs Domain of the First Type
Journal of Function Spaces, 2022 Let YI be nonhomogeneous Cartan-Hartogs domain of the first type, ϕ a holomorphic self-map, and ψ a fixed holomorphic function on YI. We study the weighted composition operator ψCϕf=ψf∘ϕ for a function f holomorphic on YI.
Jianbing Su, Ziyi Zhang
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Leafwise holomorphic functions [PDF]
Proceedings of the American Mathematical Society, 2003 It is a well-known and elementary fact that a holomorphic function on a compact complex manifold is necessarily constant. The purpose of the present article is to investigate whether, or to what extent, a similar property holds in the setting of holomorphically foliated spaces.
Feres, R., Zeghib, A.
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Majorization Results for Certain Subfamilies of Analytic Functions
Journal of Function Spaces, 2021 Let h1z and h2z be two nonvanishing holomorphic functions in the open unit disc with h10=h20=1. For some holomorphic function qz, we consider the class consisting of normalized holomorphic functions f whose ratios fz/zqz and qz are subordinate to h1z and
Muhammad Arif +4 more
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Boson-fermion correspondence and holomorphic anomaly equation in 2d Yang-Mills theory on torus
Journal of High Energy Physics, 2021 Recently, Okuyama and Sakai proposed a novel holomorphic anomaly equation for the partition function of 2d Yang-Mills theory on a torus, based on an anholomorphic deformation of the propagator in the bosonic formulation.
Min-xin Huang
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Математичні Студії, 2022 Let $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e. we study functions which are analytic in intersection of every slice $\{z^0+t\mathbf{
A. I. Bandura, T. M. Salo, O. B. Skaskiv
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Inequalities Involving Essential Norm Estimates of Product-Type Operators
Journal of Mathematics, 2021 Consider an open unit disk D=z∈ℂ ...
Manisha Devi, Ajay K. Sharma, Kuldip Raj
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Holomorphic representation of quantum computations [PDF]
Quantum, 2022 We study bosonic quantum computations using the Segal-Bargmann representation of quantum states. We argue that this holomorphic representation is a natural one which not only gives a canonical description of bosonic quantum computing using basic elements
Ulysse Chabaud, Saeed Mehraban
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