Plane Domains with Hyperelliptic Double |
Contents
55662 | 42 |
The Szego Kernel Theta Functions and Bounded Analytic | 64 |
QUADRATIC DIFFERENTIALS AND CONFORMAL EQUIVALENCE | 78 |
4 other sections not shown
Common terms and phrases
2g+2 fixed points adjoint analytic and univalent analytic functions anticonformal involution Bergman kernel function boundary components boundary segments class H closed orthonormal system closed Riemann surface compute conformal equivalence conformal homeomorphism conformal mappings Corollary defined denote differential w(z)dz domain functionals domains in H domains with hyperelliptic endpoints fractional linear transformation function f genus g Green's function H₂[D harmonic measures horizontal slit mapping hyperelliptic double hyperelliptic Riemann surface hyperelliptic surface identity induction coefficients Lemma linear space meromorphic function Nehari 23 notation Observe obtain parameter space plane domains Proof of Theorem quadratic differentials r²(D ramification index real axis real numbers recall satisfy Schiffer sheet interchange structure polynomial suppose surface of genus symmetric Szegö kernel Szegő kernel function theory theta function uniqueness univalent mapping variational formulas Weierstrass points Y₁ z₁ zeros μν μν μν