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The Cauchy transform, potential theo...

Bell, Steven Robert.

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The Cauchy transform, potential theory and conformal mapping /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The Cauchy transform, potential theory and conformal mapping // Steven R. Bell.
Author:	Bell, Steven Robert.
Published:	Boca Raton :CRC Press/Taylor & Francis Group, : c2016.,
Description:	xii, 209 p. ;24 cm.
[NT 15003449]:	Introduction -- The improved Cauchy integral formula -- The Cauchy transform -- The Hardy space, Szegő projection, and Kerzman-Stein formula -- The Kerzman-Stein operator and kernel -- The classical definition of the Hardy space -- The Szegő kernel function -- The Riemann mapping function -- A density lemma and consequences -- Solution of the Dirichlet problem in simply connected domains -- The case of real analytic boundary -- The transformation law for the Szegő kernel -- The Ahlfors map of a multiply connected domain -- The Dirichlet problem in multiply connected domains -- The Bergman space -- Proper holomorphic mappings and the Bergman projection -- The Solid Cauchy transform -- The classical Neumann problem -- Harmonic measure and the Szegő kernel -- The Neumann problem in multiply connected domains -- The Dirichlet problem again -- Area quadrature domains -- Arc length quadrature domains -- The Hilbert transform -- The Bergman kernel and the Szegő kernel -- Pseudo-local property of the Cauchy transform -- Zeroes of the Szegő kernel -- The Kerzman-Stein integral equation -- Local boundary behavioir of holomorphic mappings -- The dual space of A -- The Green's function and the Bergman kernel -- Zeroes of the Bergman kernel -- Complexity in complex analysis -- Area quadrature domains and the double -- The Cauchy-Kovalevski theorem for the Cauchy-Riemann operator.
Subject:	Cauchy transform. -
ISBN:	9781498727204

The Cauchy transform, potential theory and conformal mapping /
Bell, Steven Robert.

The Cauchy transform, potential theory and conformal mapping /Steven R. Bell. - 2nd ed. - Boca Raton :CRC Press/Taylor & Francis Group,c2016. - xii, 209 p. ;24 cm.

Includes bibliographical references (p. 203-206) and index.

Introduction -- The improved Cauchy integral formula -- The Cauchy transform -- The Hardy space, Szegő projection, and Kerzman-Stein formula -- The Kerzman-Stein operator and kernel -- The classical definition of the Hardy space -- The Szegő kernel function -- The Riemann mapping function -- A density lemma and consequences -- Solution of the Dirichlet problem in simply connected domains -- The case of real analytic boundary -- The transformation law for the Szegő kernel -- The Ahlfors map of a multiply connected domain -- The Dirichlet problem in multiply connected domains -- The Bergman space -- Proper holomorphic mappings and the Bergman projection -- The Solid Cauchy transform -- The classical Neumann problem -- Harmonic measure and the Szegő kernel -- The Neumann problem in multiply connected domains -- The Dirichlet problem again -- Area quadrature domains -- Arc length quadrature domains -- The Hilbert transform -- The Bergman kernel and the Szegő kernel -- Pseudo-local property of the Cauchy transform -- Zeroes of the Szegő kernel -- The Kerzman-Stein integral equation -- Local boundary behavioir of holomorphic mappings -- The dual space of A -- The Green's function and the Bergman kernel -- Zeroes of the Bergman kernel -- Complexity in complex analysis -- Area quadrature domains and the double -- The Cauchy-Kovalevski theorem for the Cauchy-Riemann operator.

ISBN: 9781498727204UK63.99Subjects--Topical Terms:

888533
Cauchy transform.

LC Class. No.: QA360 / .B35 2016

The Cauchy transform, potential theory and conformal mapping /
LDR:02039cam a2200193 a 4500 001 2017412
003 OCoLC
005 20160412143310.0
008 161003s2016 flu b 001 0 eng d
020 $a 9781498727204 $q (Hardback) : $c UK63.99
020 $a 1498727204 $q (Hardback)
035 $a (OCoLC)913768203
040 $a YDXCP $b eng $c YDXCP $d BDX $d BTCTA $d OCLCQ $d VGM $d MUU $d UtOrBLW
050 4 $a QA360 $b .B35 2016
100 1 $a Bell, Steven Robert. $3 2184825
245 1 4 $a The Cauchy transform, potential theory and conformal mapping / $c Steven R. Bell.
250 $a 2nd ed.
260 $a Boca Raton : $b CRC Press/Taylor & Francis Group, $c c2016.
300 $a xii, 209 p. ; $c 24 cm.
504 $a Includes bibliographical references (p. 203-206) and index.
505 0 $a Introduction -- The improved Cauchy integral formula -- The Cauchy transform -- The Hardy space, Szegő projection, and Kerzman-Stein formula -- The Kerzman-Stein operator and kernel -- The classical definition of the Hardy space -- The Szegő kernel function -- The Riemann mapping function -- A density lemma and consequences -- Solution of the Dirichlet problem in simply connected domains -- The case of real analytic boundary -- The transformation law for the Szegő kernel -- The Ahlfors map of a multiply connected domain -- The Dirichlet problem in multiply connected domains -- The Bergman space -- Proper holomorphic mappings and the Bergman projection -- The Solid Cauchy transform -- The classical Neumann problem -- Harmonic measure and the Szegő kernel -- The Neumann problem in multiply connected domains -- The Dirichlet problem again -- Area quadrature domains -- Arc length quadrature domains -- The Hilbert transform -- The Bergman kernel and the Szegő kernel -- Pseudo-local property of the Cauchy transform -- Zeroes of the Szegő kernel -- The Kerzman-Stein integral equation -- Local boundary behavioir of holomorphic mappings -- The dual space of A -- The Green's function and the Bergman kernel -- Zeroes of the Bergman kernel -- Complexity in complex analysis -- Area quadrature domains and the double -- The Cauchy-Kovalevski theorem for the Cauchy-Riemann operator.
650 0 $a Cauchy transform. $3 888533
650 0 $a Functions of complex variables. $3 523875
650 0 $a Potential theory (Mathematics) $3 558874
650 0 $a Conformal mapping. $3 559817