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European Mathematical Society Publishing House
2024-03-28 18:31:48
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https://www.ems-ph.org/meta/jmeta-stream.php?jrn=PRIMS&vol=27&iss=1&update_since=2024-03-28
Publications of the Research Institute for Mathematical Sciences
Publ. Res. Inst. Math. Sci.
PRIMS
0034-5318
1663-4926
General
10.4171/PRIMS
http://www.ems-ph.org/doi/10.4171/PRIMS
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European Mathematical Society Publishing House
Zuerich, Switzerland
© Research Institute for Mathematical Sciences, Kyoto University
27
1991
1
On Multi-valued Analytic Solutions of First Order Non-linear Cauchy Problems
Makoto
Kametani
Kyoto University, KYOTO, JAPAN
General
1
131
10.2977/prims/1195170232
http://www.ems-ph.org/doi/10.2977/prims/1195170232
Finiteness of Numbers of Curves on a Minimal Surface with κ=1
Yoshio
Fujimoto
Gifu University, GIFU, JAPAN
General
133
140
10.2977/prims/1195170233
http://www.ems-ph.org/doi/10.2977/prims/1195170233
The Structure of the Quasi-invariant Set of a Linear Measure
Yoshiaki
Okazaki
Kyushu University, FUKUOKA, JAPAN
Yasuji
Takahashi
Yamaguchi University, YAMAGUCHI CITY, JAPAN
General
141
148
10.2977/prims/1195170234
http://www.ems-ph.org/doi/10.2977/prims/1195170234
Stochastic Integration on the Full Fock Space with the Help of a Kernel Calculus
Roland
Speicher
Universität des Saarlandes, SAARBRÜCKEN, GERMANY
We develop a stochastic integration theory with respect to creation, annihilation and gauge operators on the full Fock space. This is done by using a kernel representation for a large class of bounded operators on the full Fock space. It is shown that the kernels form a Banach algebra. Having established the definition of processes and stochastic integrals we go on to prove an Ito formula and use this for examining stochastic evolutions and constructing dilations of special completely positive semigroups. Explicit solutions of the corresponding stochastic differential equations are given.
General
149
184
10.2977/prims/1195170235
http://www.ems-ph.org/doi/10.2977/prims/1195170235