Search Results - Singular integrals of functions in several complex variables

Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals by Lu, Guozhen, Shen, Jiawei, Zhang, Lu

“…The main purpose of this paper is to establish the theory of the multi-parameter Hardy spaces More precisely, Street (2014) studied the…”
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Maximal Functions, Littlewood–Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-parameter Flag Setting by Han, Yongsheng, Lee, Ming-Yi, Li, Ji, Wick, Brett D.

“…–Paley square function and area integral, Riesz transforms and the atomic decomposition in the multi-parameter flag setting…”
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Elliptic Theory for Sets with Higher Co-dimensional Boundaries by David, G., Feneuil, J., Mayboroda, S.

“…Many geometric and analytic properties of sets hinge on the properties of elliptic measure, notoriously missing for sets of higher co-dimension. The aim of…”
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Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory by Curto, Raúl E., Hwang, In Sung, Lee, Woo Young

“… We first establish a criterion on the coprime-ness of two singular inner functions and obtain several properties of the Douglas-Shapiro-Shields factorizations of matrix functions of bounded type…”
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Some results on singular integrals and function spaces in several complex variables by Shi, Ji Huai

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Thermal analysis for plate structures using a transformation BEM based on complex poles by Zhong, Yudong, Xie, Guizhong, Geng, Hongrui, Hou, Junjian, Zhao, Dengfeng, He, Wenbin

“…: firstly, a bidirectional transformation method based on distance function and complex function is proposed to remove the weak singularities of the fundamental solution in integral equation…”
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Several Complex Variables in China by 楊, 重駿, 龔, 昇

“… Among the topics covered are singular integrals, function spaces, differential operators, and factorization of meromorphic functions in several complex variables via analytic or geometric methods…”
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Poincaré-Bertrand transformation formula of Cauchy-type singular integrals in Clifford analysis by Qiao, Yuying, Xu, Yongzhi, Yang, Heju

“…This article studies the Poincaré-Bertrand transformation formula of Cauchy-type singular integrals of double multi-variables Clifford functions…”
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Holomorphic continuation of functions in the domains with singular boundaries by Djumabaev, D. Kh

“…We consider bounded domains…”
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Efficient hypersingular line and surface integrals direct evaluation by complex variable differentiation method by Lee, Cheuk-Yu, Wang, Hui, Qin, Qing-Hua

“… analytically by taking the finite part values. The remaining regular integrals can be evaluated using rational interpolatory quadrature or complex variable differentiation (CVDM…”
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Advances in analysis: the legacy of Elias M. stein by Fefferman, Charles, Ionescu, Alexandru D, Phong, D. H, Wainger, Stephen

“…Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory…”
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Formulas for Computing the Lauricella Function in the Case of Crowding of Variables by Bezrodnykh, S. I.

“…For the Lauricella function , which is a hypergeometric function of several complex variables , analytic continuation formulas are constructed that correspond to the intersection of an arbitrary…”
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Analysis of heat equations on domains by Ouhabaz, El Maati

“…This is the first comprehensive reference published on heat equations associated with non self-adjoint uniformly elliptic operators. The author provides…”
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Linear integral equations of the third kind arising from neutron transport theory by Shulaia, D.

“…The aim of this paper is to study, in the class of Hölder functions, linear integral equations with coefficients cos x having zeros in an interval under consideration…”
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Analysis of cracks originating at the boundary of a circular hole in an infinite plate by using a new conformal mapping approach by Abdelmoula, R., Semani, K., Li, J.

“… The conformal mapping is exact and simple. Several extensions are possible to resolve this class of problems…”
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Boundary value problems of conjugate and generalized k-holomorphic functions in ℂ2 by Cui, Yanyan, Wang, Chaojun, Xie, Yonghong, Qiao, Yuying

“…In this paper, conjugate k -holomorphic functions and generalized k -holomorphic functions are defined in the two-dimensional complex space, and the corresponding Riemann boundary value problems…”
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SOME PROPERTIES OF HOLOMORPHIC CLIFFORDIAN FUNCTIONS IN COMPLEX CLIFFORD ANALYSIS by 库敏 杜金元 王道顺

“…In this article, we mainly develop the foundation of a new function theory of several complex variables with values in a complex Clifford algebra defined on some subdomains of C^n…”
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Sylvester–Kac matrices with quadratic spectra: A comprehensive note by Du, Zhibin, da Fonseca, Carlos M.

“…Sylvester–Kac matrices are tridiagonal integral matrices with integral spectra or with eigenvalues presenting some kind of regularity…”
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ANALYTIC BOUNDARY VALUE PROBLEMS ON CLASSICAL DOMAINS by 刘华

“… First it is discussed for the version of one variable in order to induce the relation between the analytic boundary value problem and the decomposition of function space L2 on the boundary manifold…”
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Holonomic functions of several complex variables and singularities of anisotropic Ising n-fold integrals by Boukraa, S, Hassani, S, J-M Maillard

“…Lattice statistical mechanics, often provides a natural (holonomic) framework to perform singularity analysis with several complex variables that would, in a general mathematical framework, be too complex, or could not…”
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