Kôsaku Yosida Collected Papers

Kosaku Yosida, born on February 7, 1909, was brought up in Tokyo. Having majored in Mathematics at University of Tokyo, he was appointed to Assistant at Osaka University in 1933 and promoted to Associate Professor in 1934. He re ceived the title of Doctor of Science from Osaka University in 1939. In 1942 he was appointed to Professor at Nagoya University, where he worked very hard with his colleagues to promote and expand the newly established Department of Mathe matics. He was appointed to Professor at Osaka University in 1953 and then to Professor at University of Tokyo in 1955. After retiring from University of Tokyo in 1969, he was appointed to Professor at Kyoto University, where he also acted as Director of the Research Institute for Mathematical Sciences. He retired from Kyoto University in 1972 and worked as Professor at Gakushuin University until 1979. Yosida acted as President of the Mathematical Society of Japan, as Member of the Science Council of Japan, and as Member of the Executive Committee of the International Mathematical Union. In 1967 he received the Japan Academy Prize and the Imperial Prize for his famous work on the theory of semigroups and its applications. In 1971 he was elected Member of the Japan Academy. Yosida went abroad many times to give series of lectures at mathematical in stitutions and to deliver invited lectures at international mathematical symposia.

List of contents

I. Meromorphic Functions and Ordinary Differential Equations.- A remark to a theorem due to Halphen [3]+.- A generalisation of a Malmquist s theorem [4].- On the distribution of ?-points of solutions for linear differential equation of the second order [6].- A note on Riccati s equation [7].- On the characteristic function of a transcendental meromorphic solution of an algebraic differential equation of the first order and of the first degree [8].- On algebroid solutions of ordinary differential equations [9].- On a class of meromorphic functions [10].- A theorem concerning the derivatives of meromorphic functions [12].- On the groups of rationality for linear differential equations [13].- On Titchmarsh-Kodaira s formula concerning Weyl-Stone s eigenfunction expansion [62].- A note on Malmquist s theorem on first order algebraic differential equations [102].- II. Topological Groups and Lie Groups.- On the group embedded in the metrical complete ring [14].- On the group embedded in the metrical complete ring. II [15].- A note on the continuous representation of topological groups [16].- A theorem concerning the semi-simple Lie groups [17].- A problem concerning the second fundamental theorem of Lie [18].- A remark on a theorem of B. L. van der Waerden [19].- On the exponential-formula in the metrical complete ring [20].- A note on the differentiability of the topological group [21].- A characterisation of the adjoint representations of the semisimple Lierings [22].- Numbers in brackets refer to the Bibliography at the end of this volume.- On the fundamental theorem of the tensor calculus [23].- On the duality theorem of non-commutative compact groups [46].- Equivalence of two topologies of Abelian groups (with T. Iwamura) [52].- III. Ergodic Theory.- Abstract integral equations and the homogeneous stochastic process [24].- Mean ergodic theorem in Banach spaces [25].- Application of mean ergodic theorem to the problems of MarkofTs process (with S. Kakutani) [26].- Operator-theoretical treatment of the MarkofTs process [28].- Operator-theoretical treatment of Markoffs process. II [30].- BirkhotTs ergodic theorem and the maximal ergodic theorem (with S. Kakutani) [31].- Asymptotic almost periodicities and ergodic theorems [32].- Mark off process with an enumerable infinite number of possible states (with S. Kakutani) [33].- Ergodic theorems of Birkhoff-Khintchine s type [34].- The Markoff process with a stable distribution [35].- An abstract treatment of the individual ergodic theorem [36].- Operator-theoretical treatment of Markoff s process and mean ergodic theorem (with S. Kakutani) [38].- Simple Markoff process with a locally compact phase space [56].- Ergodic theorems for pseudo-resolvents [86].- IV. Spectral Theorems, Vector Lattices and Miscellanea.- Integral operator with bounded kernel (with Y. Mimura and S. Kakutani) [27].- Quasi-completely-continuous linear functional operations [29].- On the theory of spectra [37].- On regularly convex sets (with M. Fukamiya) [39].- On vector lattice with a unit [40].- Vector lattices and additive set functions [41].- On vector lattice with a unit, II (with M. Fukamiya) [42].- On the representation of the vector lattice [43].- On the semi-ordered ring and its application to the spectral theorem (with T. Nakayama) [44].- On the semi-ordered ring and its application to the spectral theorem, II (with T. Nakayama) [45].- Normed rings and spectral theorems [47].- Normed rings and spectral theorems, II [48].- Normed rings and spectral theorems, III [49].- Normed rings and spectral theorems, IV [50].- Normed rings and spectral theorems, V [51].- Normed rings and spectral theorems, VI [53].- On the representation of functions by Fourier integrals [54].- On the unitary equivalence in general Euclid space [55].- Finitely additive measures (with E. Hewitt) [68].- On the reflexivity of the space of distribution [81].- A note on the fundamental theorem of calculus [104].- V. Semigroups and Evoluti

About the author

Kiyosi It was born on September 1915, in Kuwana, Japan. After his undergraduate and doctoral studies at Tokyo University, he was associate professor at Nagoya University before joining the faculty of Kyoto University in 1952. He has remained there ever since and is now Professor Emeritus, but has also spent several years at each of Stanford, Aarhus and Cornell Universities and the University of Minnesota. It's fundamental contributions to probability theory, especially the creation of stochastic differential and integral calculus and of excursion theory, form a cornerstone of this field. They have led to a profound understanding of the infinitesimal development of Markovian sample paths, and also of applied problems and phenomena associated with the planning, control and optimization of engineering and other random systems.

Product details

• Authors: Kosaku Yosida, Kôsaku Yosida
• Assisted by: Kiyosi Ito (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 13.03.2013
• EAN: 9784431658610
• ISBN: 978-4-431-65861-0
• No. of pages: 633
• Illustrations: 2 SW-Abb.,
• Subject: Natural sciences, medicine, IT, technology > Mathematics