Suchergebnisse - Singular integrals of functions in several complex variables

Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals von 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 von 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 von 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 von 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 von Shi, Ji Huai

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Several Complex Variables in China von 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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Thermal analysis for plate structures using a transformation BEM based on complex poles von 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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Advances in analysis: the legacy of Elias M. stein von 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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Analysis of heat equations on domains von 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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Poincaré-Bertrand transformation formula of Cauchy-type singular integrals in Clifford analysis von 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 von Djumabaev, D. Kh

“… We consider bounded domains …”
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Efficient hypersingular line and surface integrals direct evaluation by complex variable differentiation method von 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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Formulas for Computing the Lauricella Function in the Case of Crowding of Variables von 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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Linear integral equations of the third kind arising from neutron transport theory von 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 von 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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Global solution curves for semilinear elliptic equations von Korman, Philip

“… This book provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear …”
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Boundary value problems of conjugate and generalized k-holomorphic functions in ℂ2 von 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 von 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 von 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 von 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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