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European Mathematical Society Publishing House
2024-03-29 15:23:30
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https://www.ems-ph.org/meta/jmeta-stream.php?jrn=PRIMS&vol=18&iss=2&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
18
1982
2
Invertibility for Microdifferential Operators of Infinite Order
Takashi
Aoki
Kinki University, OSAKA, JAPAN
General
1
29
10.2977/prims/1195183567
http://www.ems-ph.org/doi/10.2977/prims/1195183567
A Coherency Theorem for Direct Images with Proper Supports in the Case of a 1-Convex Map
Akira
Fujiki
Kyoto University, KYOTO, JAPAN
General
31
56
10.2977/prims/1195183568
http://www.ems-ph.org/doi/10.2977/prims/1195183568
On the Cauchy Problem of the Boltzmann Equation with a Soft Potential
Seiji
Ukai
Osaka City University, OSAKA, JAPAN
Kiyoshi
Asano
Kyoto University, KYOTO, JAPAN
General
57
99
10.2977/prims/1195183569
http://www.ems-ph.org/doi/10.2977/prims/1195183569
A Posteriori Componentwise Error Estimate for a Computed Solution of a System of Linear Equations
Tetsuro
Yamamoto
Ehime University, MATSUYAMA, JAPAN
General
101
117
10.2977/prims/1195183570
http://www.ems-ph.org/doi/10.2977/prims/1195183570
Order Properties of a Class of Tensor Algebras
Julio
Alcantara
Open University, MILTON KEYNES, UNITED KINGDOM
General
119
130
10.2977/prims/1195183571
http://www.ems-ph.org/doi/10.2977/prims/1195183571
Representation Theorems of Cohomology on Weakly 1-Complete Manifolds
Kensho
Takegoshi
Kyoto University, KYOTO, JAPAN
General
131
186
10.2977/prims/1195183572
http://www.ems-ph.org/doi/10.2977/prims/1195183572
On Energy Inequalities and Regularity of Solutions to Weakly Hyperbolic Cauchy Problems
Takeshi
Mandai
Kyoto University, KYOTO, JAPAN
General
187
240
10.2977/prims/1195183573
http://www.ems-ph.org/doi/10.2977/prims/1195183573
Actions of Semigroups on Borel Spaces and von Neumann Algebras of Groupoids of Type II1
Moto
O'uchi
Ehime University, MATSUYAMA, JAPAN
General
241
263
10.2977/prims/1195183574
http://www.ems-ph.org/doi/10.2977/prims/1195183574
Pursell-Shanks Type Theorem for Orbit Spaces of G-Manifolds
Kôjun
Abe
Shinshu University, MATSUMOTO, JAPAN
General
265
282
10.2977/prims/1195183575
http://www.ems-ph.org/doi/10.2977/prims/1195183575
On Quasi-equivalence of Quasifree States of the Canonical Commutation Relations
Huzihiro
Araki
Kyoto University, KYOTO, JAPAN
Shigeru
Yamagami
Kyoto University, KYOTO, JAPAN
A necessary and sufficient condition for two quasifree states of CCR's (the canonical commutation relations) to yield quasi-equivalent representations is obtained, in the most general setting where states are non gauge-invariant in general and the symplectic form defining CCR might be degenerate (either from the start or after completion relative to the topology induced by states). The criterion consists of the following two conditions: (1) The induced topologies on the test function space are equivalent (2) operators S~ and S'~ on the completed test function space (completion relative to the induced topology, after taking quotient by the kernel of the representation) giving the two point functions S~ and S'~ (relative to any common inner product giving rise to the induced topology) are such that Sӭ/2 - S'ӭ/2 is in the Hilbert Schmidt class.
General
283
338
10.2977/prims/1195183576
http://www.ems-ph.org/doi/10.2977/prims/1195183576
Positive Cones and Lp-Spacesfor von Neumann Algebras
Huzihiro
Araki
Kyoto University, KYOTO, JAPAN
Tetsuya
Masuda
Kyoto University, KYOTO, JAPAN
General
339
411
10.2977/prims/1195183577
http://www.ems-ph.org/doi/10.2977/prims/1195183577
Poisson's Summation Formula and Hamburger's Theorem
Leon
Ehrenpreis
Temple University, PHILADELPHIA, UNITED STATES
Takahiro
Kawai
Kyoto University, KYOTO, JAPAN
General
413
426
10.2977/prims/1195183578
http://www.ems-ph.org/doi/10.2977/prims/1195183578
Semantical Analysis of Constructive PDL
Hirokazu
Nishimura
Kyoto University, KYOTO, JAPAN
General
427
438
10.2977/prims/1195183579
http://www.ems-ph.org/doi/10.2977/prims/1195183579
Actions on Invariant Spheres around Isolated Fixed Points of Actions of Cyclic Groups
Masayoshi
Kamata
Kyushu University, FUKUOKA, JAPAN
General
439
468
10.2977/prims/1195183580
http://www.ems-ph.org/doi/10.2977/prims/1195183580
Uniqueness of the Infinite Loop Space Structures on Connective Fibre Spaces of BSO
Akira
Kono
Kyoto University, KYOTO, JAPAN
General
469
474
10.2977/prims/1195183581
http://www.ems-ph.org/doi/10.2977/prims/1195183581