Fourier Analysis on Starlike Lipschitz Surfaces
Qian T.
Source PublicationJournal of Functional Analysis

A theory of a class of singular integrals on starlike Lipschitz surfaces in Rn is established. The class of singular integrals forms an operator algebra identical to the class of bounded holomorphic Fourier multipliers, as well as to the Cauchy-Dunford bounded holomorphic functional calculus of the spherical Dirac operator. The study proposes a new method inducing Clifford holomorphic functions from holomorphic functions of one complex variable, by means of which problems on the sphere are reduced to those on the unit circle. © 2001 Academic Press.

KeywordFunctional Calculus Dirac Operator The Unit Sphere In Rn Fourier Multiplier Singular Integral
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Indexed BySCIE
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000170251200003
The Source to ArticleScopus
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Cited Times [WOS]:36   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
AffiliationUniv Macau, Fac Sci & Technol, Macau, Peoples R China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Qian T.. Fourier Analysis on Starlike Lipschitz Surfaces[J]. Journal of Functional Analysis,2001,183(2):370.
APA Qian T..(2001).Fourier Analysis on Starlike Lipschitz Surfaces.Journal of Functional Analysis,183(2),370.
MLA Qian T.."Fourier Analysis on Starlike Lipschitz Surfaces".Journal of Functional Analysis 183.2(2001):370.
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