Results 51 to 60 of about 519 (182)
Non‐Relativistic Limit of Dirac Hamiltonians With Aharonov–Bohm Fields
Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT We characterize the families of self‐adjoint Dirac and Schrödinger operators with Aharonov–Bohm magnetic field, and we exploit the non‐relativistic limit of infinite light speed to connect the former to the latter. The limit consists of the customary removal of the rest energy and of a suitable scaling, with the light speed, of the short‐scale
Matteo Gallone +2 more
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Topological properties of the Fréchet space of holomorphic functions of several complex variables
Mathematica Montisnigri, 2023 Let 𝑁p(𝐵n) (𝑝 > 1) be the Privalov class of holomorphic functions on the unit ball 𝐵n in the space of 𝑛-complex variables. The class 𝑁p(𝐵n) (𝑝 > 1), equipped with the topology given by a natural metric, becomes an 𝐹-algebra. In this paper, we shall introduce a Fréchet space Fp(𝐵n) (𝑝 > 1) of holomorphic functions on 𝐵n which contains 𝑁p(𝐵n ...
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Holomorphic functions of several variables
, 2003 ÖZET ÇOK DEĞİŞKENLİ HOLOMORF FONKSİYONLAR BAĞCI, Şerafeddin Kırıkkale Üniversitesi Fen Bilimleri Enstitüsü Matematik Anabilim Dalı, Yüksek Lisans Tezi Danışman : Prof. Dr. Kerim KOCA Temmuz 2003, 89 sayfa Bu tez dört bölümden oluşmaktadır.Birinci bölümde;
Bağcı, Şerafeddin
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A fractional residue theorem and its applications in calculating real integrals
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
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On some class of holomorphie functions of several complex variables
Zeitschrift für Analysis und ihre Anwendungen, 1982 The aim of the paper is to generalize some well-known estimations for holomorphic functions of one complex variable to the case of several complex variables.
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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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Multiple front and pulse solutions in spatially periodic systems
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
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Lectures on several complex variables
, 2014 This monograph provides a concise, accessible snapshot of key topics in several complex variables, including the Cauchy Integral Formula, sequences of holomorphic functions, plurisubharmonic functions, the Dirichlet problem, and meromorphic functions ...
Gauthier, Paul M
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The parabolic implosion for f0(z) = z + z v+1 + φ(2v=Z) [PDF]
In this thesis we examine the bifurcation in behaviour (for the dynamics) which occurs when we perturb the holomorphic germ fo(z) =z+ zv+1 + O(zv+2) defined in a neigh- bourhood of 0, so that the multiple fixed point at 0 splits into ...
Oudkerk, Richard
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Slice quaternionic analysis in two variables
, 2022 Slice quaternionic analysis in two variables is a generalization of the theory of several complex variables to quaternions. This study relies on the theory of stem functions and the theory of holomorphic functions in two complex variables.
Sabadini I., Wang X., Ren G., Dou X.
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