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European Mathematical Society Publishing House
2024-03-29 00:54:33
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https://www.ems-ph.org/meta/jmeta-stream.php?jrn=PRIMS&vol=23&iss=1&update_since=2024-03-29
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
23
1987
1
On the Dirichlet Problem For Degenerate Elliptic Equations
Jan
Chabrowski
University of Queensland, ST. LUCIA, QLD., AUSTRALIA
General
1
16
10.2977/prims/1195176844
http://www.ems-ph.org/doi/10.2977/prims/1195176844
Fermion Ito's Formula II: The Gauge Process in Fermion Fock Space
David
Applebaum
University of Nottingham, NOTTINGHAM, UNITED KINGDOM
The stochastic calculus constructed in [2] for fermion Brownian motion is augmented through the inclusion of stochastic integration with respect to the gauge process. The solutions of certain non-commutative stochastic differential equations are used to construct dilations of contraction semigroups on a Hilbert space 𔩸 and of uniformly continuous, completely positive semigroups on -B(𔩸). Finally we construct a fermion analogue of the classical Poisson process and investigate some of its properties.
General
17
56
10.2977/prims/1195176845
http://www.ems-ph.org/doi/10.2977/prims/1195176845
Mixed Problems for Singular and Degenerate Hyperbolic Equations
Akisato
Kubo
Fujita Health University, AICHI, JAPAN
General
57
100
10.2977/prims/1195176846
http://www.ems-ph.org/doi/10.2977/prims/1195176846
The 2-Microlocal Canonical Form for a Class of Microdifferential Equations and Propagation of Singularities
Nobuyuki
Tose
Keio University, YOKOHAMA, JAPAN
General
101
116
10.2977/prims/1195176847
http://www.ems-ph.org/doi/10.2977/prims/1195176847
Twisted SU(2) Group. An Example of a Non-Commutative Differential Calculus
S.
Woronowicz
University of Warsaw, WARSAW, POLAND
For any number ν in the interval [— 1, 1] a C*-algebra A generated by two elements α and γ satisfying simple (depending on ν) commutation relation is introduced and investigated. If ν=1 then the algebra coincides with the algebra of all continuous functions on the group SU(T). Therefore one can introduce many notions related to the fact that SU(2) is a Lie group. In particular one can speak about convolution products, Haar measure, differential structure, cotangent boundle, left invariant differential forms. Lie brackets, infinitesimal shifts and Cartan Maurer formulae. One can also consider representations of SU(2). For ν< 1 the algebra A is no longer commutative, however the notions listed above are meaningful. Therefore A can be considered as the algebra of all "continuous funct:ons" on a "pseudospace SνU(2)" and this pseudospace is endowed with a Lie group structure. The potential applications to the quantum physics are indicated.
General
117
181
10.2977/prims/1195176848
http://www.ems-ph.org/doi/10.2977/prims/1195176848
Equivariant Controllable Cutting-Pasting and Cobordism with Vector Fields
Katsuhiro
Komiya
Yamaguchi University, YAMAGUCHI CITY, JAPAN
General
183
194
10.2977/prims/1195176849
http://www.ems-ph.org/doi/10.2977/prims/1195176849
On the Higher Thorn Polynomials of Morin Singularities
Yoshifumi
Ando
Yamaguchi University, YAMAGUCHI CITY, JAPAN
General
195
207
10.2977/prims/1195176850
http://www.ems-ph.org/doi/10.2977/prims/1195176850
On the Ranks of Homotopy Groups of a Space
Kouyemon
Iriye
Kyoto University, KYOTO, JAPAN
General
209
213
10.2977/prims/1195176851
http://www.ems-ph.org/doi/10.2977/prims/1195176851