Generalized Poincaré-Bertrand formula on a hypersurface

Fengbo Hang; Shidong Jiang

doi:10.1016/j.acha.2008.12.001

Generalized Poincaré-Bertrand formula on a hypersurface

Fengbo Hang
, Shidong Jiang

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

The Poincaré-Bertrand formula concerning two repeated Cauchy's principal integrals on a smooth curve in the plane is generalized to identities of singular integrals on smooth hypersurfaces in higher dimensions.

Original language	English (US)
Pages (from-to)	100-116
Number of pages	17
Journal	Applied and Computational Harmonic Analysis
Volume	27
Issue number	1
DOIs	https://doi.org/10.1016/j.acha.2008.12.001
State	Published - Jul 2009

All Science Journal Classification (ASJC) codes

Applied Mathematics

Keywords

Poincaré-Bertrand formula
Riesz transforms
Singular integrals

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10.1016/j.acha.2008.12.001

Cite this

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title = "Generalized Poincar{\'e}-Bertrand formula on a hypersurface",

abstract = "The Poincar{\'e}-Bertrand formula concerning two repeated Cauchy's principal integrals on a smooth curve in the plane is generalized to identities of singular integrals on smooth hypersurfaces in higher dimensions.",

keywords = "Poincar{\'e}-Bertrand formula, Riesz transforms, Singular integrals",

author = "Fengbo Hang and Shidong Jiang",

note = "Funding Information: E-mail addresses: [email protected] (F. Hang), [email protected] (S. Jiang). 1 Supported in part by NSF under Grant DMS-0647010 and by Sloan Research Fellowship. 2 Supported in part by NSF under Grant DMS-0715121.",

year = "2009",

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doi = "10.1016/j.acha.2008.12.001",

language = "English (US)",

volume = "27",

pages = "100--116",

journal = "Applied and Computational Harmonic Analysis",

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publisher = "Academic Press Inc.",

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T1 - Generalized Poincaré-Bertrand formula on a hypersurface

AU - Hang, Fengbo

AU - Jiang, Shidong

N1 - Funding Information: E-mail addresses: [email protected] (F. Hang), [email protected] (S. Jiang). 1 Supported in part by NSF under Grant DMS-0647010 and by Sloan Research Fellowship. 2 Supported in part by NSF under Grant DMS-0715121.

PY - 2009/7

Y1 - 2009/7

N2 - The Poincaré-Bertrand formula concerning two repeated Cauchy's principal integrals on a smooth curve in the plane is generalized to identities of singular integrals on smooth hypersurfaces in higher dimensions.

AB - The Poincaré-Bertrand formula concerning two repeated Cauchy's principal integrals on a smooth curve in the plane is generalized to identities of singular integrals on smooth hypersurfaces in higher dimensions.

KW - Poincaré-Bertrand formula

KW - Riesz transforms

KW - Singular integrals

UR - https://www.scopus.com/pages/publications/67349103725

UR - https://www.scopus.com/pages/publications/67349103725#tab=citedBy

U2 - 10.1016/j.acha.2008.12.001

DO - 10.1016/j.acha.2008.12.001

M3 - Article

AN - SCOPUS:67349103725

SN - 1063-5203

VL - 27

SP - 100

EP - 116

JO - Applied and Computational Harmonic Analysis

JF - Applied and Computational Harmonic Analysis

IS - 1

ER -

Generalized Poincaré-Bertrand formula on a hypersurface

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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