The Cauchy transform, potential theory, and conformal mapping /

Saved in:
Bibliographic Details
Author / Creator:Bell, Steven Robert
Imprint:Boca Raton, Fl. : CRC Press, c1992.
Description:x, 149 p. : ill. ; 25 cm.
Language:English
Series:Studies in advanced mathematics
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/1392072
Hidden Bibliographic Details
ISBN:084938270X (alk. paper)
Notes:Includes bibliographical references (p. 141-143) and index.

MARC

LEADER 00000cam a2200000 a 4500
001 1392072
003 ICU
005 19970807223900.0
008 921118s1992 flua b 001 0 eng
010 |a  92013066 
020 |a 084938270X (alk. paper) 
035 |a (ICU)BID16361210 
035 |a (OCoLC)25746633 
040 |c DLC  |d DLC$dOrLoB 
050 0 0 |a QA360  |b .B35 1992 
082 |a 515/.9  |2 20 
100 1 |a Bell, Steven Robert  |0 http://id.loc.gov/authorities/names/n88609905  |1 http://viaf.org/viaf/14841075 
245 1 4 |a The Cauchy transform, potential theory, and conformal mapping /  |c Steven R. Bell. 
260 |a Boca Raton, Fl. :  |b CRC Press,  |c c1992. 
300 |a x, 149 p. :  |b ill. ;  |c 25 cm. 
336 |a text  |b txt  |2 rdacontent  |0 http://id.loc.gov/vocabulary/contentTypes/txt 
337 |a unmediated  |b n  |2 rdamedia  |0 http://id.loc.gov/vocabulary/mediaTypes/n 
338 |a volume  |b nc  |2 rdacarrier  |0 http://id.loc.gov/vocabulary/carriers/nc 
440 0 |a Studies in advanced mathematics 
504 |a Includes bibliographical references (p. 141-143) and index. 
505 0 0 |g 1.  |t Introduction --  |g 2.  |t The improved Cauchy Integral formula --  |g 3.  |t The Cauchy transform --  |g 4.  |t The Hardy space, the Szego projection, and the Kerzman-Stein formula --  |g 5.  |t The Kerzman-Stein operator and kernel --  |g 6.  |t The classical definition of the Hardy space --  |g 7.  |t The Szego kernel function --  |g 8.  |t The Riemann mapping function --  |g 9.  |t A density lemma and consequences --  |g 10.  |t Solution of the Dirichlet Problem in simply connected domains --  |g 11.  |t The case of real analytic boundary --  |g 12.  |t The transformation law for the Szego kernel under conformal mappings --  |g 13.  |t The Ahlfors map of a multiply connected domain --  |g 14.  |t The Dirichlet problem in multiply connected domains --  |g 15.  |t The Bergman space --  |g 16.  |t Proper holomorphic mappings and the Bergman projection --  |g 17.  |t The solid Cauchy transform --  |g 18.  |t The classical Neumann problem --  |g 19.  |t Harmonic measure and the Szego kernel --  |g 20.  |t The Neumann problem in multiply connected domains --  |g 21.  |t The Dirichlet problem again --  |g 22.  |t The Hilbert transform --  |g 23.  |t The Bergman kernel and the Szego kernel --  |g 24.  |t Pseudolocal property of the Cauchy transform and consequences --  |g 25.  |t Zeroes of the Szego kernel --  |g 26.  |t The Kerzman-Stein integral equation --  |g 27.  |t Local boundary behavior of holomorphic mappings --  |g 28.  |t The dual space of A [superscript Infinity] [Omega] --  |g 29.  |t The Green's function and the Bergman kernel --  |g 30.  |t Zeroes of the Bergman kernel --  |t Appendix A. The Cauchy-Kovalevski Theorem for the Cauchy-Riemann operator. 
650 0 |a Cauchy transform  |0 http://id.loc.gov/authorities/subjects/sh88004936 
650 0 |a Functions of complex variables  |0 http://id.loc.gov/authorities/subjects/sh85052356 
650 0 |a Potential theory (Mathematics)  |0 http://id.loc.gov/authorities/subjects/sh85105671 
650 0 |a Conformal mapping  |0 http://id.loc.gov/authorities/subjects/sh85031060 
650 7 |a Cauchy transform.  |2 fast  |0 http://id.worldcat.org/fast/fst00849798 
650 7 |a Conformal mapping.  |2 fast  |0 http://id.worldcat.org/fast/fst00875031 
650 7 |a Functions of complex variables.  |2 fast  |0 http://id.worldcat.org/fast/fst00936116 
650 7 |a Potential theory (Mathematics)  |2 fast  |0 http://id.worldcat.org/fast/fst01073489 
850 |a ICU 
901 |a ToCBNA 
903 |a HeVa 
929 |a cat 
999 f f |i 50daa384-b46c-526c-a23f-7eb169e32e83  |s 5d136dc4-e907-56c7-ba02-a5d18fbe4095 
928 |t Library of Congress classification  |a QA360.B350 1992  |l Eck  |c Eck-Eck  |i 2649335 
927 |t Library of Congress classification  |a QA360.B350 1992  |l Eck  |c Eck-Eck  |b 36802150  |i 2751525