Half-Order Differentials on Riemann Surfaces
Menahem Schiffer · SIAM Journal on Applied Mathematics · 1966
Previous article Next article Half-Order Differentials on Riemann SurfacesMenahem SchifferMenahem Schifferhttps://doi.org/10.1137/0114073PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Stefan Bergmann, Über die Entwicklung der harmonischen Funktionen der Ebene und des Raumes nach Orthogonalfunktionen, Math. Ann., 86 (1922), 238–271 10.1007/BF01457987 MR1512089 CrossrefGoogle Scholar[2] Stefan Bergman, The Kernel Function and Conformal Mapping, Mathematical Surveys, No. 5, American Mathematical Society, New York, N. Y., 1950vii+161 MR0038439 (12,402a) 0040.19001 CrossrefGoogle Scholar[3] S. Bergman and , M. Schiffer, Kernel functions and conformal mapping, Compositio Math., 8 (1951), 205–249 MR0039812 (12,602c) 0043.08403 Google Scholar[4] R. Courant, Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces, Interscience Publishers, Inc., New York, N.Y., 1950xiii+330 MR0036317 (12,90a) 0040.34603 Google Scholar[5] P. R. Garabedian, Schwarz's lemma and the Szegö kernel function, Trans. Amer. Math. Soc., 67 (1949), 1–35 MR0032747 (11,340f) 0035.05402 ISIGoogle Scholar[6] N. S. Hawley and , M. Schiffer, Half-order differentials on Riemann surfaces, Acta Math., 115 (1966), 199–236 MR0190326 (32:7739) 0136.06701 CrossrefISIGoogle Scholar[7] Einar Hille, Remarks on a paper be Zeev Nehari, Bull. Amer. Math. Soc., 55 (1949), 552–553 MR0030000 (10,697a) 0035.05105 CrossrefISIGoogle Scholar[8] Zeev Nehari, The Schwarzian derivative and schlicht functions, Bull. Amer. Math. Soc., 55 (1949), 545–551 MR0029999 (10,696e) 0035.05104 CrossrefISIGoogle Scholar[9] Menahem Schiffer, Hadamard's formula and variation of domain-functions, Amer. J. Math., 68 (1946), 417–448 MR0018750 (8,325a) 0060.23706 CrossrefISIGoogle Scholar[10] M. Schiffer and , N. S. Hawley, Connections and conformal mapping, Acta Math., 107 (1962), 175–274 MR0182720 (32:202) 0115.29301 CrossrefISIGoogle Scholar[11] Menahem Schiffer and , Donald C. Spencer, Functionals of finite Riemann surfaces, Princeton University Press, Princeton, N. J., 1954x+451 MR0065652 (16,461g) 0059.06901 Google Scholar[12] G. Szego˝, Über orthogonale Polynome, die zu einer gegebenen Kurve der komplexen Ebene gehören, Math. Z., 9 (1921), 218–270 MR1544465 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Prime forms and higher genus deformed Eisenstein seriesJournal of Physics: Conference Series, Vol. 1416, No. 1 Cross Ref Genus Two Partition and Correlation Functions for Fermionic Vertex Operator Superalgebras I29 May 2011 | Communications in Mathematical Physics, Vol. 306, No. 2 Cross Ref The Szegő Kernel on a Sewn Riemann Surface30 July 2011 | Communications in Mathematical Physics, Vol. 306, No. 3 Cross Ref Application of half-order differentials on Riemann surfaces to quadrature identities for arc-lengthJournal d'Analyse Mathématique, Vol. 49, No. 1 Cross Ref Volume 14, Issue 4| 1966SIAM Journal on Applied Mathematics History Submitted:08 July 1965Published online:03 August 2006 InformationCopyright © 1966 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0114073Article page range:pp. 922-934ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics