Functional Analysis and Related Topics 1969

Programme

April 1 (Tuesday)

11:00-12:00  Opening Ceremony (Keidanren Hall)
Addresses by
Prof. K. YOSIDA (Organizing Committee)
Prof. H. CARTAN (International Mathematical Union)
Prof. F. EGAMI (Science Council of Japan)
Prof. Y. KAWADA (Mathematical Society of Japan)
(All the meetings, except the following public lectures, were held at the Keidanren Kaikan Building, Otemachi, Tokyo)
2:00-5:00 Lectures open to the members of Mathematical Society of Japan (Toranomon Hall, Toranomon, Tokyo)
Prof. H. CARTAN
On the Structural Stability of differential mappings
Prof. R. S. Phillips
Scattering Theory
6:00-8:00 Reception held by the Mathematical Society of Japan (Diamond Room)
Address by Prof. R. COURANT et al.

April 2 (Wednesday)

Lectures for a joint meeting (Keidanren Hall)
Chairman: Prof. C. B. MORREY, Jr.
10:45-11:45  Prof. L. SCHWARTZ
Cylindrical measures and radonifing maps
1:30-2:30 Prof. L. HÖRMANDER
On the singularities of solutions of partial differential equations
3:15-4:15 Prof. M. F. ATIYAH
Global theory of elliptic operators

April 3 (Thursday)

The conference was divided into two sections from April 3 on.

Section A met at the Keidanren Hall on the 14th floor and Section B, Room 1001 on the 10th floor.

11: 45-1: 30 was set for luncheon and tea was served in the lounge on the 14th floor between 2: 30-3: 15 everyday.

Section A

Chairman for the morning session: Prof. L. HÖRMANDER
9:30-10:30 Prof. C. B. MORREY, Jr.
Partial regularity results for elliptic systems
10:45-11:45  Prof. A. MARTINEAU
The ''Edge of the Wedge Theorem'' in the hyperfunction theory
Chairman for the afternoon session: Prof. L. SCHWARTZ
1:30-2:30 Prof. M. SATO
Hyperfunctions and partial differential equations
3: 15-4: 15 Prof. H. KOMATSU
Boundary values for solutions of elliptic equations

Section B

Chairman for the morning session: Prof. K. YOSIDA
9:30-10:30 Prof. T. KÕMURA
Semigroups of operators in locally convex spaces
10:45-11:45  Prof. S. KAKUTANI
Classification of ergodic transformations
Chairman for the afternoon session: Prof. S. AGMON
1:30-2:30 Prof. C. FOIAŞ
The statistical evolutions of the non-stationary solutions of Navier-Stokes equations and their ergodic behaviour
3: 15-4: 15 Prof. H. TANABE
On regularity of solutions of abstract differential equations
5: 30-8: 30 Reception held by the President of the Science Council of Japan (Prince Hotel)

April 4 (Friday)

Section A

Chairman for the morning session: Prof. S. MIZOHATA
9:30-10:30 Prof. S. L. SOBOLEV
Some questions of the theory of functions of many discrete Variables
10:45-11:45  Prof. S. MATSUURA
On non-strict hyperbolicity
Chairman for the afternoon session: Prof. P. D. LAX
1: 30-2: 30 Profs. S. MIZOHATA and Y. OHYA
On Levi's condition for hyperbolic equations
3: 15-4: 15 Prof. M. YAMAGUTI
On pseudo difference schemes
4:30-5:00 Prof. M. MATSUMURA
Asymptotic behavior of solutions of certain mixed problems for symmetric hyperbolic systems with con- stant coefficients

Section B

Chairman for the morning session: Prof. I. N. VEKUA
9:30-10:30 Prof. M. NAKAI
On parabolicity and Royden compactifications of Riemannian manifolds
10:45-11:45  Prof. H. LEWY
On a minimum problem for superharmonic functions.
Chairman for the afternoon session: Prof. S. L. SOBOLEV
1:30-2:30 Prof. S. ITÔ
Ideal boundaries of Neumann type associated With elliptic operators
3: 15-4: 15 Prof. K. YOSIDA
Pre-closedness of Hunt's potential operators and its. applications
4:30-5:00 Mr. T. NIWA
On the classical flows with discrete spectra

April 5 (Saturday)

Section A

Chairman for the morning session: Prof. G. STAMPACCHIA
9:30-10:30 Prof. P. D. LAX
Integrals of nonlinear equations of evolution
10:45-11:45  Prof. J. L. LIONS
Some remarks on variational inequalities
Chairman for the afternoon session: Prof. J. L. LIONS
1:30-2:30 Prof. Y. KÕMURA
Nonlinear semigroups in Hilbert spaces
3: 15-4: 15 Prof. H. FUJITA
On the asymptotic stability of solutions of the equation $v_{t}=\Delta v+\exp(v)$

Section B

Chairman for the morning session: Prof. H. LEWY
9:30-10:30 Mr. I. NARUKI
An analytic study of real submanifolds of a complex manifold
10:45-11:45  Prof. I. N. VEKUA
On one class of the elliptic systems With singularities
Chairman for the afternoon session: Prof. M. F. ATIYAH
1:30-2:30 Prof. J. K. MOSER
On the construction of almost periodic solutions for ordinary differential equations
3: 15-4: 15 Prof. M. S. NARASIMHAN
Elliptic operators and differential geometry of moduli spaces of vector bundles on compact Riemann surfaces
4:30-5:00 Mr. K. SAITO
Schematic theory of analytic spaces

April 6 (Sunday)

Excursion to Kamakura by bus

April 7 (Monday)

Section A

Chairman for the morning session: Prof. R. S. PHILLIPS
9:30-10:30 Prof. T. KATO
Some results on potential scattering
10:45-11:45  Prof. S. T. KURODA
A stationary method of scattering and some applica- tions
Chairman for the afternoon session: Prof. T. KATO
1:30-2:30 Prof. S. AGMON
Lower bounds for solutions of Schrödinger-type equations in unbounded domains
3: 15-4: 15 Prof. T. IKEBE
Scattering for uniformly propagative systems

Section B

Chairman for the morning session: Prof. K. ITÔ
10:45-11:45  Prof. J. L. DOOB
Probability and potential theory
Chairman for the afternoon session: Prof. J. L. DOOB
1:30-2:30 Prof. H. KUNITA
$L^{2}$ -analysis for boundary problems of multi-dimen- sional diffusion processes
3:15-4:15 Prof. K. ITÔ
Canonical measurable random functions
4: 30-5: 00 Mr. T. FUJIMAGARI and Prof. M. MOTOO
The characterization of the cascade processes

April 8 (Tuesday)

Section A

Chairman for all day: Prof. D. GILBARG
9:30-10:30 Prof. H. G. GARNIR
Some new results in classical functional analysis
10:45-11:45  Mr. M. K. V. MURTHY
Some remarks in the theory of pseudo-differential operators
1:30-2: 30 Prof. G. STAMPACCHIA
On the regularity of solutions of variational inequalities

Section B

Chairman for all day: Prof. S. KAKUTANI
9:30-10:30 Mr. I. KUBO
Representation of quasi-flows with multi-dimension al parameter
10:45-11:45  Prof. H. YOSHIZAWA
Rotation group of Hilbert space and some of its relations to BroWnian motion
1:30-2:30 Prof. K. JACOBS
Combinatorial constructions in ergodic theory
2: 45-3: 00  Closing ceremony
Addresses by
Prof. K. YOSIDA
Prof. M. F. ATIYAH