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010   $a3-540-39105-3
024 7 $a10.1007/BFb0078078
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035   $a(PQKBTitleCode)TC0000326115
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035   $a(DE-He213)978-3-540-39105-0
035   $a(MiAaPQ)EBC5585951
035   $a(Au-PeEL)EBL5585951
035   $a(OCoLC)1066198325
035   $a(MiAaPQ)EBC6842440
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035   $a(PPN)15519495X
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100   $a20220909d1988      uy             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 12$aA real variable method for the Cauchy transform and analytic capacity /$fTakafumi Murai
205   $a1st ed. 1988.
210  1$aBerlin, Germany :$cSpringer,$d[1988]
210  4$d©1988
215   $a1 online resource (X, 134 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1307
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a0-387-19091-0 
311   $a3-540-19091-0 
327   $aThe calderón commutator (8 proofs of its boundedness) -- A real variable method for the cauchy transform on graphs -- Analytic capacities of cranks.
330   $aThis research monograph studies the Cauchy transform on curves with the object of formulating a precise estimate of analytic capacity. The note is divided into three chapters. The first chapter is a review of the Calderón commutator. In the second chapter, a real variable method for the Cauchy transform is given using only the rising sun lemma. The final and principal chapter uses the method of the second chapter to compare analytic capacity with integral-geometric quantities. The prerequisites for reading this book are basic knowledge of singular integrals and function theory. It addresses specialists and graduate students in function theory and in fluid dynamics.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1307
606   $aAnalytic functions
615  0$aAnalytic functions.
676   $a515
700   $aMurai$b Takafumi$f1948-$057587
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466509503316
996   $aReal variable method for the Cauchy transform, and analytic capacity$978606
997   $aUNISA