Functionals of Finite Riemann Surfaces (eBook)

Menahem Schiffer, Donald Clayton Spencer (Autoren)

eBook Download: PDF

2015
462 Seiten
Princeton University Press (Verlag)
978-1-4008-7752-2 (ISBN)

Infos

An investigation of finite Riemann surfaces from the point of view of functional analysis, that is, the study of the various Abelian differentials of the surface in their dependence on the surface itself. Many new results are presented.Originally published in 1954.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Produkt-Details

• Erscheint lt. Verlag: 8.12.2015
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Legacy Library
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: Abelian integral • Algebraic operation • algebraic surface • analytic continuation • analytic function • asymptotic formula • beltrami equation • Bessel's Inequality • Big O notation • Boundary (topology) • Boundary value problem • Cauchy–Riemann equations • Cauchy's theorem (geometry) • Cauchy's theorem (group theory) • coefficient • Compact Riemann surface • Complex conjugate • Complex dimension • complex manifold • complex multiplication • complex number • complex plane • Conformal geometry • conformal map • conjugate points • Continuous function (set theory) • Cross-cap • Differentiable function • differential equation • differential form • Differential Geometry • Differential of the first kind • Dimension (vector space) • Dirichlet Integral • Dirichlet's principle • Divisor • dot product • Einstein notation • Equation • existence theorem • existential quantification • Exterior algebra • Exterior (topology) • functional calculus • Fundamental lemma (Langlands program) • Geometry • Green's Function • Harmonic conjugate • Harmonic function • Harmonic Measure • hilbert space • holomorphic function • Homology (mathematics) • integral equation • integral transform • integro-differential equation • Interior (topology) • Invertible matrix • Jordan Curve Theorem • Kähler manifold • Laplace's equation • Limit (mathematics) • Linear space (geometry) • manifold • Meromorphic Function • Orientability • Parameter • parametric equation • partial derivative • partial differential equation • Point at infinity • Pole (complex analysis) • polynomial • power series • Projection (linear algebra) • Projection method (fluid dynamics) • projective plane • Quadratic differential • Residue Theorem • Ricci curvature • Riemann curvature tensor • Riemannian manifold • Riemann sphere • Riemann surface • scalar multiplication • Sign (mathematics) • Simply connected space • Simultaneous Equations • Special case • spectral theory • Square-integrable function • Summation • tensor calculus • Theorem • Topology • uniformization theorem • Variable (mathematics) • Variational method (quantum mechanics) • Weak convergence (Hilbert space) • Weyl's lemma (Laplace equation)
• ISBN-10: 1-4008-7752-0 / 1400877520
• ISBN-13: 978-1-4008-7752-2 / 9781400877522