CR manifolds and the tangential cauchy riemann complex

Research output: Book/ReportBook

9 Citations (Scopus)

Abstract

CR Manifolds and the Tangential Cauchy Riemann Complex provides an elementary introduction to CR manifolds and the tangential Cauchy-Riemann Complex and presents some of the most important recent developments in the field. The first half of the book covers the basic definitions and background material concerning CR manifolds, CR functions, the tangential Cauchy-Riemann Complex and the Levi form. The second half of the book is devoted to two significant areas of current research. The first area is the holomorphic extension of CR functions. Both the analytic disc approach and the Fourier transform approach to this problem are presented. The second area of research is the integral kernal approach to the solvability of the tangential Cauchy-Riemann Complex. CR Manifolds and the Tangential Cauchy Riemann Complex will interest students and researchers in the field of several complex variable and partial differential equations.

Original languageEnglish (US)
PublisherCRC Press
Number of pages364
ISBN (Electronic)9781351457583
ISBN (Print)9780849371523
DOIs
StatePublished - Jan 1 2017
Externally publishedYes

Fingerprint

CR Manifold
Cauchy
CR Functions
Analytic Discs
Levi Form
Holomorphic Extension
Several Complex Variables
Solvability
Fourier transform
Partial differential equation
Cover

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

CR manifolds and the tangential cauchy riemann complex. / Boggess, Albert.

CRC Press, 2017. 364 p.

Research output: Book/ReportBook

@book{05dc9cc3c6b24b1b9afb8a7586ae5a25,
title = "CR manifolds and the tangential cauchy riemann complex",
abstract = "CR Manifolds and the Tangential Cauchy Riemann Complex provides an elementary introduction to CR manifolds and the tangential Cauchy-Riemann Complex and presents some of the most important recent developments in the field. The first half of the book covers the basic definitions and background material concerning CR manifolds, CR functions, the tangential Cauchy-Riemann Complex and the Levi form. The second half of the book is devoted to two significant areas of current research. The first area is the holomorphic extension of CR functions. Both the analytic disc approach and the Fourier transform approach to this problem are presented. The second area of research is the integral kernal approach to the solvability of the tangential Cauchy-Riemann Complex. CR Manifolds and the Tangential Cauchy Riemann Complex will interest students and researchers in the field of several complex variable and partial differential equations.",
author = "Albert Boggess",
year = "2017",
month = "1",
day = "1",
doi = "10.1201/9781315140445",
language = "English (US)",
isbn = "9780849371523",
publisher = "CRC Press",

}

TY - BOOK

T1 - CR manifolds and the tangential cauchy riemann complex

AU - Boggess, Albert

PY - 2017/1/1

Y1 - 2017/1/1

N2 - CR Manifolds and the Tangential Cauchy Riemann Complex provides an elementary introduction to CR manifolds and the tangential Cauchy-Riemann Complex and presents some of the most important recent developments in the field. The first half of the book covers the basic definitions and background material concerning CR manifolds, CR functions, the tangential Cauchy-Riemann Complex and the Levi form. The second half of the book is devoted to two significant areas of current research. The first area is the holomorphic extension of CR functions. Both the analytic disc approach and the Fourier transform approach to this problem are presented. The second area of research is the integral kernal approach to the solvability of the tangential Cauchy-Riemann Complex. CR Manifolds and the Tangential Cauchy Riemann Complex will interest students and researchers in the field of several complex variable and partial differential equations.

AB - CR Manifolds and the Tangential Cauchy Riemann Complex provides an elementary introduction to CR manifolds and the tangential Cauchy-Riemann Complex and presents some of the most important recent developments in the field. The first half of the book covers the basic definitions and background material concerning CR manifolds, CR functions, the tangential Cauchy-Riemann Complex and the Levi form. The second half of the book is devoted to two significant areas of current research. The first area is the holomorphic extension of CR functions. Both the analytic disc approach and the Fourier transform approach to this problem are presented. The second area of research is the integral kernal approach to the solvability of the tangential Cauchy-Riemann Complex. CR Manifolds and the Tangential Cauchy Riemann Complex will interest students and researchers in the field of several complex variable and partial differential equations.

UR - http://www.scopus.com/inward/record.url?scp=85052781595&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85052781595&partnerID=8YFLogxK

U2 - 10.1201/9781315140445

DO - 10.1201/9781315140445

M3 - Book

SN - 9780849371523

BT - CR manifolds and the tangential cauchy riemann complex

PB - CRC Press

ER -