Results 41 to 50 of about 202,771,687 (141)

Lectures on several complex variables

open access: yes, 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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Sharp restriction estimates for some degenerate higher codimensional quadratic surfaces

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract The Fourier restriction conjecture is a fundamental problem in harmonic analysis. In this paper, we investigate restriction estimates for degenerate higher codimensional quadratic surfaces and obtain sharp results for some types of degenerate cases.
Zhenbin Cao, Changxing Miao, Yixuan Pang
wiley   +1 more source

Zeros of polynomials in derivatives of automorphic L$L$‐functions

open access: yesMathematika, Volume 72, Issue 4, October 2026.
Abstract Let Fm$\mathfrak {F}_m$ be the set of all cuspidal automorphic representations of GLm(AQ)$\mathrm{GL}_m(\mathbb {A}_{\mathbb {Q}})$, and let F(s,π)$F(s,\bm {\pi })$ be a polynomial in the derivatives of L$L$‐functions associated with representations π∈⋃m=1∞Fm$\pi \in \bigcup _{m=1}^{\infty } \mathfrak {F}_m$. We establish an asymptotic formula
Anji Dong   +2 more
wiley   +1 more source

Direct Construction of Quantized Tensor Trains With Small Rank for Laplace‐ or Gaussian‐Transformed Analytic Functions

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 18, 30 September 2026.
ABSTRACT Preparing quantum states with desired amplitude distributions is a key bottleneck in the implementation of quantum linear and nonlinear dynamics solvers, including Linear Combination of Hamiltonian Simulation (LCHS) and Schrödingerization. We present a direct, closed‐form construction of Quantized Tensor Train (QTT) representations for two ...
Katsuhiro Endo, Kazuaki Z. Takahashi
wiley   +1 more source

Representation of holomorphic functions of many variables by Cauchy-Stieltjes-type integrals [PDF]

open access: yes, 2006
Розглядаються функції багатьох комплексних змінних, які є голоморфними в полікрузі або у верхній поліпівплощині. Наведено необхідні i достатні умови того, що голоморфна функція є інтегралом типу Коші - Стільтьєса комплексного заряду.
Савчук, В.В.
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Singularity of non‐pluripolar cohomology classes

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We establish a relation between Lelong numbers and the full mass property of relative non‐pluripolar products. We use this relation to prove that if the restricted volume of a big class α$\alpha$ along an effective divisor D$D$ has full mass, then the Lelong numbers of the non‐pluripolar class ⟨αn−1⟩$\langle \alpha ^{n-1}\rangle$ at every ...
Duc‐Bao Nguyen   +2 more
wiley   +1 more source

Holomorphic functions of several variables

open access: yes, 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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Towards quantum hierarchy for the Gromov–Witten theory of elliptic curves

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We construct the quantum double ramification (DR) hierarchy associated with the Gromov–Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbers of the DR cycle, the Gromov–Witten classes of the elliptic curve, and the Hodge class λg−1$\lambda _{g-1}$, together with vanishing results for λg−2$\lambda ...
Paolo Rossi   +2 more
wiley   +1 more source

The classification of holomorphic (m, n)-subharmonic morphisms

open access: yes, 2020
We study the problem of classifying the holomorphic (m, n)-subharmonic morphisms in complex space. This determines which holomorphic mappings preserves m-subharmonicity in the sense that the composition of the holomorphic mapping with a m-subharmonic ...
Czyż, Rafał, Hed, Lisa,, Åhag, Per,
core   +1 more source

Local holomorphic extension of CR-functions - [PDF]

open access: yes, 2017
Thesis. M.S. American University of Beirut. Department of Mathematics, 2017. T:6606Advisor : Dr. Della Sala Giuseppe, Assistant Professor, Mathematics ; Committee members : Dr. Faruk Abi-Khuzam, Professor, Mathematics ; Dr.
Al Akhdar, Mariam Abbas
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