Kunihiko Kodaira, Volume I : : Collected Works / / Kunihiko Kodaira.

• Superior document: Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979
• VerfasserIn: Kodaira, Kunihiko,
• MitwirkendeR: Abe, Makoto,; Iyanaga, Sh6kichi,; Kakutani, 8Hizuo,; Kakutani, Shizuo,; Kodaiba, Kunihiko,; Kodaira, K.,; Kodaira, Kunihiko,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2015]; ©1975
• Year of Publication: 2015
• Language: English
• Series: Princeton Legacy Library ; 1421
• Physical Description: 1 online resource (672 p.)

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.

Table of Contents

Frontmatter -- Preface -- Contents -- Vol.1 -- ( 1 ) Tiber Die Struktur Des Endlichen, Vollstandig Primaren Ringes Mit Verschwindendem Radikalquadrat -- ( 2 ) Tiber Den Allgemeinen Zellenbegriti und die Zellenzer Spaltungen der Komplexe -- ( 3 ) Eine Bemerkung zur Dimensionstheorie -- ( 4 ) On Some Fundamental Theorems in the Theory of Operators in Hilbert Space -- ( 5 ) On the theory of almost periodic functions in a group -- ( 6 ) Üiber die DitIerenzierbarkeit der einparametrigen Untergruppe Liescher Gruppen -- ( 7 ) Über zusammenhangende kompakte abelsche Gruppen -- ( 8 ) Die Kuratowskische Abbildung und der Hopfsche Erweiterungssatz -- ( 9 ) Über die Gruppe der messbaren Abbildungen -- ( 10 ) Über die Beziehung zwischen den Massen und den Topologien in einer Gruppe -- ( 11 ) Normed ring of a locally compact abelian group -- ( 12 ) Über die Harmonischen Tensorfelder in Riemannschen Mannigfaltigkeiten, (I), (II), (III) -- ( 13 ) Über die Rand- und Eigenwertprobleme der linearen elliptischen Differentialgleichungen zweiter Ordnung -- ( 14 ) Über das Haarsche Mass in der lokal bikompakten Gruppe -- ( 15 ) Relations between harmonic fields in Riemannian manifolds -- ( 16 ) On the existence of analytic functions on closed analytic surface -- ( 17 ) Harmonic fields in Riemannian manifolds (generalized potential theory) -- ( 18 ) The eigenvalue problem for ordinary differential equations of the second order and Heisenberg's theory of S-matrices -- ( 19 ) On ordinary differential equations of any even order and the corresponding eigenfunction expansions -- ( 20 ) A non-separable translation invariant extension of the Lebesgue measure space -- ( 21 ) Harmonic integrals, Part II -- ( 22 ) The theorem of Riemann-Roch on compact analytic surfaces -- ( 23 ) Green's forms and meromorphic functions on compact analytic varieties -- ( 24 ) The theorem of Riemann-Roch for adjoint systems on 3-dimensional algebraic varieties -- ( 25 ) On analytic surfaces with two independent meromorphic functions (collaborated with W.-L. Chow) -- ( 26 ) On the theorem of Riemann-Roch for adjoint systems on Kiihlerian varieties -- ( 27 ) Arithmetic genera of algebraic varieties -- ( 28 ) The theory of harmonic integrals and their applications to algebraic geometry -- ( 29 ) The theorem of Riemann-Roch for adjoint systems on Kiihlerian varieties -- ( 30 ) Some results in the transcendental theory of algebraic varieties