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Volume 56 (2004)
- Issue 4 Pages 967-
- Issue 3 Pages 649-
- Issue 2 Pages 311-
- Issue 1 Pages 1-
Predecessor
- Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
- Proceedings of the Tokyo Mathematico-Physical Society. 2nd Series
- Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo
- Tokyo Sugaku-Butsurigakkwai Hokoku
- Tokyo Sugaku-Butsurigaku Kwai Kiji
- Tokyo Sugaku-Butsurigaku Kwai Kiji
- Tokyo Sugaku Kaisya Zasshi
Volume 56, Issue 1
Displaying 1-17 of 17 articles from this issue
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Dedicated to Professor Hisako Watanabe on the occasion of her 60th birthdayYoshihiro MIZUTA, Tetsu SHIMOMURA2004 Volume 56 Issue 1 Pages 1-15
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSOur aim in this paper is to discuss minimally fine limits at infinity for locally p-precise functions in the half space of \bm{R}n with vanishing boundary limits. We also give a measure condition for a set to be minimally thin at infinity.View full abstractDownload PDF (129K) -
Takashi INABA, Hiromichi NAKAYAMA2004 Volume 56 Issue 1 Pages 17-29
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSThe Ruelle invariants for non-singular flows of a 3-dimensional manifold and diffeomorphisms of the disc are described by invariant fiber measures, which are families of probability measures on the fibers of the projectivized bundle invariant under the holonomies among almost all fibers. The dynamical properties of invariant fiber measures are also given, which show the benefit of this description.View full abstractDownload PDF (153K) -
Yukitaka ABE, Paolo ZAPPA2004 Volume 56 Issue 1 Pages 31-43
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe study universal holomorphic functions on a Stein manifold M with projective compactification. Let {\varphin} be a sequence of holomorphic automorphisms of M. We prove that if {\varphin-1} is A run-away, then the set of all universal functions with respect to {\varphin} in \mathscr{A}(K) for all compact subsets K with a certain property is the intersection of countable number of open dense subsets in the space of all holomorphic functions on M. We also note that there is a close connection between the direction of run-awayness and a family of compact sets for which there exists a universal function.View full abstractDownload PDF (131K) -
Jeong Hee HONG, Wojciech SZYMANSKI2004 Volume 56 Issue 1 Pages 45-64
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSFor any countable directed graph E we describe the primitive ideal space of the corresponding generalized Cuntz-Krieger algebra C*(E).View full abstractDownload PDF (271K) -
Gohar HARUTJUNJAN, Bert-Wolfgang SCHULZE2004 Volume 56 Issue 1 Pages 65-85
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSGiven an algebra of pseudo-differential operators on a manifold, an elliptic element is said to be a reduction of orders, if it induces isomorphisms of Sobolev spaces with a corresponding shift of smoothness. Reductions of orders on a manifold with boundary refer to boundary value problems. We employ specific smooth symbols of arbitrary real orders and with parameters, and we show that the associated operators induce isomorphisms between Sobolev spaces on a given manifold with boundary. Such operators for integer orders have the transmission property and belong to the calculus of Boutet de Monvel [{1}], cf. also [{9}]. In general, they fit to the algebra of boundary value problems without the transmission property in the sense of [{17}] and [{24}]. Order reducing elements of the present kind are useful for constructing parametrices of mixed elliptic problems.
We show that order reducing symbols have the Volterra property and are parabolic of anisotropy 1, analogous relation s∈R e formulated for arbitrary anisotropies. We then investigate parameter-dependent operators, apply a kernel cut-off construction with respect to the parameter and show that corresponding holomorphic operator-valued Mellin symbols reduce orders in weighted Sobolev spaces on a cone with boundary. We finally construct order reducing operators on a compact manifold with conical singularities and boundary.View full abstractDownload PDF (200K) -
Katsuju IGARI2004 Volume 56 Issue 1 Pages 87-113
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSIn a complex domain V⊂ \bm{C}n, let P be a linear holomorphic partial differential operator and K be its characteristic hypersurface. When the localization of P at K is a Fuchsian operator having a non-negative integral characteristic index, it is proved, under some conditions, that every holomorphic solution to Pu=0 in V\backslash K has a holomorphic extension in V. Besides, it is applied to the propagation of singularities for equations with non-involutive double characteristics.View full abstractDownload PDF (226K) -
Dedicated to Professor Yukio Matsumoto on the occasion of his sixtieth birthdayShigeru TAKAMURA2004 Volume 56 Issue 1 Pages 115-145
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSMotivated by the classification problem of atomic degenerations, in our series of papers, we make a systematic study for splitting deformations of degenerations of complex curves. We provide various new methods to construct splitting deformations, and deduce many splitting criteria of degenerations, which will be applied to the classification of atomic degenerations. Roughly, our criteria are separated into two types; in the first type the criteria are expressed in terms of the configuration of a singular fiber, and in the second type, in terms of sub-divisors of a singular fiber. In both types, our constructions are `visible', in that we can view how the singular fiber is deformed. In the present paper, we demonstrate splitting criteria of the first type.View full abstractDownload PDF (421K) -
Xiao-Min LI, Hong-Xun YI2004 Volume 56 Issue 1 Pages 147-167
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSIn this paper, we prove a result on uniqueness of meromorphic functions sharing three values counting multiplicity. As applications of this, many known results can be improved. Examples are provided to show that the results in this paper are best possible.View full abstractDownload PDF (149K) -
Liangwen LIAO, Chung-Chun YANG2004 Volume 56 Issue 1 Pages 169-176
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSIn this paper first we prove that if f and g are two permutable tran-scendental entire functions satisfying f=f1(h) and g=g1(h), for some transcendental entire function h, rational function f1 and a function g1, which is analytic in the range of h, then F(g)⊂ F(f). Then as an application of this result, we show that if f(z)=p(z)eq(z)+c, where c is a constant, p a nonzero polynomial and q a nonconstant polynomial, or f(z)=\displaystyle ∈tzp(z)eq(z)dz, where p, q are nonconstant polynomials, such that f(g)=g(f) for a nonconstant entire function g, then J(f)=J(g).View full abstractDownload PDF (95K) -
Rui OKAYASU2004 Volume 56 Issue 1 Pages 177-191
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe obtain the exact value of Voiculescu's invariant k∞-(τ), which is an obstruction of the existence of quasicentral approximate units relative to the Macaev ideal in perturbation theory, for a tuple τ of operators in the following two classes: (1) creation operators associated with a subshift, which are used to define Matsumoto algebras, (2) unitaries in the left regular representation of a finitely generated group.View full abstractDownload PDF (143K) -
Kohhei YAMAGUCHI2004 Volume 56 Issue 1 Pages 193-199
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSIn this paper we study the homotopy types of mod p truncated configuration spaces. In particular, we investigate a finite dimensional configuration space model for the based loop space of mod p lens space as an application.View full abstractDownload PDF (98K) -
Naoya ANDO2004 Volume 56 Issue 1 Pages 201-214
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSThe purposes of this paper are: (a) to study the behavior of the principal distributions around an isolated umbilical point on a real-analytic surface of a certain type, which contains all the real-analytic, special Weingarten surfaces; (b) to present one condition such that if a real-analytic surface satisfies the condition, then the index of an isolated umbilical point on the surface is less than or equal to one.View full abstractDownload PDF (150K) -
Masayoshi MIYANISHI, De-Qi ZHANG2004 Volume 56 Issue 1 Pages 215-245
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe classify equivariantly Gorenstein log del Pezzo surfaces with bound- aries at infinity and with finite group actions such that the quotient surface modulo the finite group has Picard number one. We also determine the corresponding finite groups.View full abstractDownload PDF (606K) -
Dedicated to Professor Yoshiyuki Hino on his sixtieth birthdaySatoru MURAKAMI, Toshiki NAITO, Nguyen VAN MINH2004 Volume 56 Issue 1 Pages 247-268
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSThe Massera Theorem for almost periodic solutions of linear periodic ordinary differential equations of the form (*) x^{'}=A(t)x+f(t), where f is almost periodic, is stated and proved. Furthermore, it is extended to abstract functional differential equations (**) x^{'}=Ax+F(t)xt+f(t), where A is the generator of a compact semigroup, F is periodic and f is almost periodic. The main techniques used in the proofs involve a new variation of constants formula in the phase space and a decomposition theorem for almost periodic solutions.View full abstractDownload PDF (182K) -
Idun REITEN, Andrzej SKOWRONSKI2004 Volume 56 Issue 1 Pages 269-288
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe introduce the class of generalized double tilted artin algebras and prove that it coincides with the class of artin algebras whose AR-quiver admits a faithful generalized standard almost directed component. A homological characterization of faithful generalized standard almost directed components is also established.View full abstractDownload PDF (231K) -
Kohji YANAGAWA2004 Volume 56 Issue 1 Pages 289-308
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSA squarefree module over a polynomial ring S=k[x1, ..., xn] is a generalization of a Stanley-Reisner ring, and allows us to apply homological methods to the study of monomial ideals more systematically.
The category \bm{Sq} of squarefree modules is equivalent to the category of finitely generated left Λ-modules, where Λ is the incidence algebra of the Boolean lattice 2^{{1, ..., n}}. The derived category Db(\bm{Sq}) has two duality functors \bm{D} and \bm{A}. The functor \bm{D} is a common one with Hi(\bm{D}(M·))=ExtSn+i (M·, omega s), while the Alexander duality functor \bm{A} is rather combinatorial. We have a strange relation \bm{D}\circ \bm{A}\circ \bm{D}\circ \bm{A}\circ \bm{D}\circ \bm{A}≅ \bm{T}2n, where \bm{T} is the translation functor. The functors \bm{A}\circ \bm{D} and \bm{D}\circ \bm{A} give a non-trivial autoequi-valence of Db(\bm{Sq}). This equivalence corresponds to the Koszul duality for Λ, which is a Koszul algebra with Λ1≅Λ. Our \bm{D} and \bm{A} are also related to the Bernstein-Gel'fand-Gel'fand correspondence.
The local cohomology H_{IΛ}i(S) at a Stanley-Reisner ideal IΔ can be constructed from the squarefree module ExtSi(S/IΔ, omegaS). We see that Hochster's formula on the \bm{Z}n-graded Hilbert function of H_{\mathfrak{m}}i(S/IΔ) is also a formula on the characteristic cycle of H_{\mathit{1}Δ}n-i(S) as a module over the Weyl algebra A=k‹ x1, ..., xn, ∂1, ..., ∂n› (if char(k)=0).View full abstractDownload PDF (225K) -
This JOURNAL, Vol. 52 (2000), 725-740Mike BOYLE, Alejandro MAASS2004 Volume 56 Issue 1 Pages 309-310
Published: 2004
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSDownload PDF (46K)
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