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921118s1992 flua b 001 0 eng |
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|a 92013066
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|a 084938270X (alk. paper)
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|a (ICU)BID16361210
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|a (OCoLC)25746633
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|c DLC
|d DLC$dOrLoB
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|a QA360
|b .B35 1992
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|a 515/.9
|2 20
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1 |
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|a Bell, Steven Robert
|0 http://id.loc.gov/authorities/names/n88609905
|1 http://viaf.org/viaf/14841075
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245 |
1 |
4 |
|a The Cauchy transform, potential theory, and conformal mapping /
|c Steven R. Bell.
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260 |
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|a Boca Raton, Fl. :
|b CRC Press,
|c c1992.
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300 |
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|a x, 149 p. :
|b ill. ;
|c 25 cm.
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336 |
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|a text
|b txt
|2 rdacontent
|0 http://id.loc.gov/vocabulary/contentTypes/txt
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|a unmediated
|b n
|2 rdamedia
|0 http://id.loc.gov/vocabulary/mediaTypes/n
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338 |
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|a volume
|b nc
|2 rdacarrier
|0 http://id.loc.gov/vocabulary/carriers/nc
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440 |
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|a Studies in advanced mathematics
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504 |
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|a Includes bibliographical references (p. 141-143) and index.
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|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.
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650 |
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0 |
|a Cauchy transform
|0 http://id.loc.gov/authorities/subjects/sh88004936
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650 |
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0 |
|a Functions of complex variables
|0 http://id.loc.gov/authorities/subjects/sh85052356
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650 |
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0 |
|a Potential theory (Mathematics)
|0 http://id.loc.gov/authorities/subjects/sh85105671
|
650 |
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0 |
|a Conformal mapping
|0 http://id.loc.gov/authorities/subjects/sh85031060
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650 |
|
7 |
|a Cauchy transform.
|2 fast
|0 http://id.worldcat.org/fast/fst00849798
|
650 |
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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
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850 |
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|a ICU
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901 |
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|a ToCBNA
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903 |
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|a HeVa
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929 |
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|a cat
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f |
f |
|i 50daa384-b46c-526c-a23f-7eb169e32e83
|s 5d136dc4-e907-56c7-ba02-a5d18fbe4095
|
928 |
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|t Library of Congress classification
|a QA360.B350 1992
|l Eck
|c Eck-Eck
|i 2649335
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927 |
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|t Library of Congress classification
|a QA360.B350 1992
|l Eck
|c Eck-Eck
|b 36802150
|i 2751525
|