All issues
Volume 55 (2003)
- Issue 4 Pages 855-
- Issue 3 Pages 565-
- Issue 2 Pages 289-
- 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 55, Issue 2
Displaying 1-12 of 12 articles from this issue
- |<
- <
- 1
- >
- >|
-
Katsunori IWASAKI2003 Volume 55 Issue 2 Pages 289-321
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe develop the theory of cohomology groups for recurrence relations, based upon the asymptotic analysis of finite difference equations carried out in a previous paper. We apply it to compute the Gevrey extension groups of the \mathscr{D}-modules associated to some confluent hypergeometric systems. In those applications, recurrence relations appear as contiguity relations of hypergeometric systems.View full abstractDownload PDF (252K) -
Dedicated to Professor Masayuki Ito on his sixtieth birthdayHiroaki MASAOKA, Shigeo SEGAWA2003 Volume 55 Issue 2 Pages 323-334
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe denote by HP(R) and (HB(R), resp.) the class of positive (bounded, resp.) harmonic functions on a Riemann surface R. Consider an open Riemann surface W possessing a Green's function and a p-sheeted ( 1<p<∞) unlimited covering surface ˜{W} of W with projection map \varphi. We give a necessary and sufficient condition, in terms of Martin boundary, for HX(W)\circ\varphi=HX(˜{W})(X=P, B). We also give some examples illustrating the above result when W is the unit disc.View full abstractDownload PDF (127K) -
Josef DORFMEISTER, Guido HAAK2003 Volume 55 Issue 2 Pages 335-364
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe investigate surfaces of constant mean curvature with a nontrivial fundamental group in a Weierstrass type representation. As an application we construct a family of complete CMC immersions which are conformally cylinders and have umbilics.View full abstractDownload PDF (247K) -
Jonathan A. HILLMAN2003 Volume 55 Issue 2 Pages 365-383
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe use cohomological group theory and properties of L2-Betti numbers to determine the solvable groups with presentations of deficiency 1, to give a new proof of the“Tits alternative”for subgroups of Haken 3-manifold groups, and to study the fundamental groups of closed 4-manifolds with Euler characteristic 0 and, in particular, 2-knot groups.View full abstractDownload PDF (183K) -
María J. CARRO, Ludmila NIKOLOVA2003 Volume 55 Issue 2 Pages 385-394
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSGiven a quasi-subaditive operator T:L0(μ)→ L0(v), we want to study mapping properties of interpolation type for which the following modular inequality holds \[∈t_{\mathscr{N}}P(|Tf(x)|)dv(x)≤∈t_{\mathscr{M}}Q(|f(x)|)dμ(x) \] where P and Q are modular functions. These results generalize the classical Marcinkiewicz interpolation theorem.View full abstractDownload PDF (101K) -
Dedicated to Professor Mitsuru IKAWA on his 60th birthdayMishio KAWASHITA, James RALSTON, Hideo SOGA2003 Volume 55 Issue 2 Pages 395-404
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe examine plane waves of the elastic reduced wave equation in the half-space, and by linear combinations of them we construct the solution coinciding with any plane wave on the boundary. In the (dual) variable in the normal direction to the boundary, we apply the complex analysis to the inverse matrix of the elastic symbol.View full abstractDownload PDF (108K) -
Jan STOCHEL, Franciszek Hugon SZAFRANIEC2003 Volume 55 Issue 2 Pages 405-437
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSIt is proved that pointwise commuting formally normal operators which are dominated by a single essentially normal operator are essentially normal and essentially spectrally commuting. The question when essential normality of a polynomial in an operator implies essential normality of that operator is solved in this way. Furthermore, domination by essentially normal powers of formally normal operators are studied and, as a consequence, extended versions of Nelson's criterion for essential spectral commutativity are proposed. Subsequent domination results ensuring joint subnormality of systems of operators are proved. Several applications to multidimen-sional moment problems are found.View full abstractDownload PDF (333K) -
coding of Julia setsAtsushi KAMEYAMA2003 Volume 55 Issue 2 Pages 439-454
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe define Julia sets for (topological) expanding postcritically finite branched coverings on S2, and show the existence and the uniqueness of Julia sets. Our main aim is the investigation of codings of Julia sets (i.e. semiconjugacies between symbolic dynamics and Julia sets). In particular, it is proved that if two expanding branched coverings are combinatorially equivalent, then their Julia sets are topologically conjugate.View full abstractDownload PDF (185K) -
S1-parametrization of Julia setsAtsushi KAMEYAMA2003 Volume 55 Issue 2 Pages 455-468
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe prove that for an expanding postcritically finite branched covering f, the Julia set is orientedly S1-parametrizable if and only if fn is combinatorially equivalent to the degenerate mating of two polynomials for some n>0.View full abstractDownload PDF (166K) -
Takayuki ABE, Yoshihiro SHIBATA2003 Volume 55 Issue 2 Pages 469-497
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSThis paper is concerned with the standard Lp estimate of solutions to the resolvent problem for the Stokes operator on an infinite layer.View full abstractDownload PDF (270K) -
Valentin GUTEV, Haruto OHTA, Kaori YAMAZAKI2003 Volume 55 Issue 2 Pages 499-521
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe introduce lower and upper semi-continuity of a map to the Banach space c0(λ) for an infinite cardinal λ. We prove that the following conditions (i), (ii) and (iii) on a T1-space X are equivalent: (i) For every two maps g, h:X→ c0(λ) such that g is upper semi-continuous, h is lower semi-continuous and g≤ h, there exists a continuous map f:X→ c0(λ), with g≤ f≤ h. (ii) For every Banach space Y, with w(Y)≤λ, every lower semi-continuous set-valued mapping φ:X→ \mathscr{C}c(Y) admits a continuous selection, where \mathscr{C}c(Y) is the set of all non-empty compact convex sets in Y. (iii) X is normal and every locally finite family \mathscr{F} of subsets of X, with |\mathscr{F}|≤λ, has a locally finite open expansion provided it has a point-finite open expansion. We also characterize several paracompact-like properties by inserting continuous maps between semi-continuous Banach-valued functions.View full abstractDownload PDF (216K) -
Masaya MATSUURA, Yasunori OKABE2003 Volume 55 Issue 2 Pages 523-563
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe have developed the theory of KM2O-Langevin equations for stationary and non-degenerate flow in an inner product space. As its generalization and refinement of the results in [{14}], [{15}], [{16}], we shall treat in this paper a general flow in an inner product space without both the stationarity property and the non-degeneracy property. At first, we shall derive the KM2O-Langevin equation describing the time evolution of the flow and prove the fluctuation-dissipation theorem which states that there exists a relation between the fluctuation part and the dissipation part of the above KM2O- Langevin equation. Next we shall prove the characterization theorem of stationarity property, the construction theorem of a flow with any given nonnegative definite matrix function as its two-point covariance matrix function and the extension theorem of a stationary flow without losing stationarity property.View full abstractDownload PDF (271K)
- |<
- <
- 1
- >
- >|