Quadrature domains and kernel function zipping

Arkiv for Matematik

Volumn 43, Issue 2, 2005, Pages 271-287

  Bell, Steven R ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27644450384     PISSN: 00042080     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02384780     Document Type: Article

References (15)

1. AHARONOV, D. and SHAPIRO, H. S., Domains on which analytic functions satisfy quadrature identities, J. Anal. Math. 30 (1976), 39-73.
2. BELL, S. R., The Szegö projection and the classical objects of potential theory in the plane, Duke Math. J. 64 (1991), 1-26.
3. BELL, S. R., The Cauchy Transform, Potential Theory, and Conformal Mapping, Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1992.
4. BELL, S. R., Unique continuation theorems for the ∂̄-operator and applications, J. Geom. Anal. 3 (1993), 195-224.
5. BELL, S. R., Complexity of the classical kernel functions of potential theory, Indiana Univ. Math. J. 44 (1995), 1337-1369.
6. BELL, S. R., Finitely generated function fields and complexity in potential theory in the plane, Duke Math. J. 98 (1999), 187-207.
7. BELL, S. R., Ahlfors maps, the double of a domain, and complexity in potential theory and conformal mapping, J. Anal. Math. 78 (1999), 329-344.
8. BELL, S. R., The fundamental role of the Szegö kernel in potential theory and complex analysis, J. Reine Angew. Math. 525 (2000), 1-16.
9. BELL, S. R., Complexity in complex analysis, Adv. Math. 172 (2002), 15-52.
10. BELL, S. R., Möbius transformations, the Carathéodory metric, and the objects of complex analysis and potential theory in multiply connected domains, Michigan Math. J. 51 (2003), 351-362.
11. FARKAS, H. M. and KRA, I., Riemann Surfaces, Springer-Verlag, New York-Berlin, 1980.
12. GUSTAFSSON, B., Quadrature identities and the Schottky double, Acta Appl. Math. 1 (1983), 209-240.
13. GUSTAFSSON, B., Applications of half-order differentials on Riemann surfaces to quadrature identities for arc-length, J. Anal. Math. 49 (1987), 54-89.
14. JEONG, M. and TANIGUCHI, M., Bell representations of finitely connected planar domains, Proc. Amer. Math. Soc. 131 (2003), 2325-2328.
15. SHAPIRO, H. S., The Schwarz Function and its Generalization to Higher Dimensions, Univ. of Arkansas Lecture Notes in the Mathematical Sciences 9, Wiley, New York, 1992.