Leseprobe
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Kunihiko Kodaira, Volume I
Kunihiko Kodaira
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
Kunihiko Kodaira's influence in mathematics has been fundamental and international, and his efforts have helped lay the foundations of modern complex analysis. These three volumes contain Kodaira's written contributions, published in a large number of journals and books between 1937 and 1971. The volumes cover chronologically the major periods of Kodaira's mathematical concentration and reflect his collaboration with other prominent theoreticians.
Thus they begin with early works that discuss the application of Hilbert space methods to differential equations, and the use of elementary solutions to prove regularity theorems for strongly elliptic systems of partial differential equations.
Originally published in 1975.
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.
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Summation, Equivalence class, Riemannian manifold, Equation, Parametrix, Surjective function, Fundamental group, Transcendence degree, Kunihiko Kodaira, Subset, Additive group, Regularity theorem, Complex dimension, Submanifold, Hilbert space, Lebesgue measure, Theorem, Divisor (algebraic geometry), Spectral theorem, Differential operator, Axiom, Coefficient, Algebraic variety, Riemann surface, Self-adjoint operator, Deformation theory, Projective space, Irreducible component, Moduli space, Arithmetic genus, Measure (mathematics), Complex manifold, Haar measure, Holomorphic function, Elliptic operator, Prime factor, Adjoint, Linear subspace, Projective line, Divisor, Explicit formulae (L-function), Kodaira vanishing theorem, Meromorphic function, Cohomology, Linear map, Special case, Theorem of Bertini, Projection (linear algebra), Explicit formula, C0, Character group, Differential form, Equivalence relation, Bounded operator, Direct product, Almost periodic function, Unit vector, Characteristic class, Riemann–Roch theorem, Analytic function, Linear differential equation, Self-adjoint, Green's function, Analytic continuation, Cardinal number, Open set, Differential of the first kind, Borel set, Translational symmetry, Existential quantification