| FullText URL | mjou_060_001_036.pdf |
|---|---|
| Author | Hemmi, Yutaka| |
| Abstract | Higher homotopy in the theory of H-spaces started from the works by Sugawara in the 1950th. In this paper we review the development of the theory of H-spaces associated with it. Mainly there are two types of higher homotopies, homotopy associativity and homotopy commutativity. We give explanations of the polytopes used as the parameter spaces of those higher forms. |
| Keywords | H-space higher homotopy associativity An-form higher homotopy commutativity associahedra multiplihedra permutohedra resultohedra permuto-associahedra cyclohedra |
| Published Date | 2018-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume60 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 1 |
| End Page | 36 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| Official Url | http://www.math.okayama-u.ac.jp/mjou/| |
| language | 英語 |
| Copyright Holders | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_060_037_058.pdf |
|---|---|
| Author | Masuda, Toshihiko| |
| Abstract | We give a survey of Tomita-Takesaki theory and the development of analysis of structure of type III factors, which started from Tomita-Takesaki theory. |
| Keywords | Tomita-Takesaki theory type III factors injective factors |
| Published Date | 2018-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume60 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 37 |
| End Page | 58 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| Official Url | http://www.math.okayama-u.ac.jp/mjou/| |
| language | 英語 |
| Copyright Holders | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_060_059_072.pdf |
|---|---|
| Author | Trimẻche, Khalifa| |
| Abstract | We prove in this paper the absolute continuity of the representing measures of the transmutation operators Vk, tVk and VkW, tVkW associated respectively to the Cherednik operators and the Heckman-Opdam theory attached to the root system of type BC2. |
| Keywords | Transmutation operators Absolute continuity of the representing measures Cherednik operators Heckman-Opdam theory |
| Published Date | 2018-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume60 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 59 |
| End Page | 72 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| Official Url | http://www.math.okayama-u.ac.jp/mjou/| |
| language | 英語 |
| Copyright Holders | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_060_073_089.pdf |
|---|---|
| Author | Wu, Tsung-Hsuan| |
| Abstract | We give the stable splittings of the complex connective K-theory of the classifying space BSO(2n + 1), n≥1. |
| Keywords | stable splitting complex connective K-theory classifying space Adams spectral sequence |
| Published Date | 2018-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume60 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 73 |
| End Page | 89 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| Official Url | http://www.math.okayama-u.ac.jp/mjou/| |
| language | 英語 |
| Copyright Holders | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_060_091_108.pdf |
|---|---|
| Author | Sato, Kenichi| Yoshino, Yuji| |
| Abstract | We shall generalize the theory of primary decomposition and associated prime ideals of nitely generated modules over a noetherian ring to general objects in an abelian R-category where R is a noetherian commutative ring. |
| Published Date | 2018-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume60 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 91 |
| End Page | 108 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| Official Url | http://www.math.okayama-u.ac.jp/mjou/| |
| language | 英語 |
| Copyright Holders | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_060_109_135.pdf |
|---|---|
| Author | Namba, Ryuya| |
| Abstract | Recently, Ishiwata, Kawabi and Kotani [4] proved two kinds of central limit theorems for non-symmetric random walks on crystal lattices from the view point of discrete geometric analysis developed by Kotani and Sunada. In the present paper, we establish yet another kind of the central limit theorem for them. Our argument is based on a measure-change technique due to Alexopoulos [1]. |
| Keywords | crystal lattice central limit theorem non-symmetric random walk (modi ed) harmonic realization |
| Published Date | 2018-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume60 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 109 |
| End Page | 135 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| Official Url | http://www.math.okayama-u.ac.jp/mjou/| |
| language | 英語 |
| Copyright Holders | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_060_137_153.pdf |
|---|---|
| Author | Shigekawa, Ichiro| |
| Abstract | We discuss a non-symmetric diffusion process on the Wiener space. The process we consider is generated by A = L + b, L being the Ornstein-Uhlenbeck operator and b being a vector eld. Under suitable integrability condition for b, we show the existence of associated diffusion process. We also investigate the domain of the generator. Further we consider a similar problem in the nite dimensional Euclidean space. |
| Keywords | non-symmetric Dirichlet form Wiener space logarithmic Sobolev inequality generator domain |
| Published Date | 2018-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume60 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 137 |
| End Page | 153 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| Official Url | http://www.math.okayama-u.ac.jp/mjou/| |
| language | 英語 |
| Copyright Holders | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_060_155_164.pdf |
|---|---|
| Author | Shimizu, Kenichi| |
| Abstract | We study a class of integers called SP numbers (Sum Prime numbers). An SP number is by de nition a positive integer d that gives rise to a prime number (a + b)=gcd(4; 1 + d) from every factorization d = ab. We also discuss properties of SP numbers in relations with arithmetic of imaginary quadratic elds (least split primes, exponents of ideal class groups). Further we point out that special cases of SP numbers provide the problems of distribution of prime numbers (twin primes, Sophi-Germain primes, quadratic progressions). Finally, we consider the problem whether there exist in nitely many SP numbers. |
| Keywords | SP number prime number imaginary quadratic fi eld |
| Published Date | 2018-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume60 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 155 |
| End Page | 164 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| Official Url | http://www.math.okayama-u.ac.jp/mjou/| |
| language | 英語 |
| Copyright Holders | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_060_165_173.pdf |
|---|---|
| Author | Minami, Haruo| |
| Abstract | We present a uni ed proof of some known results on the framed bordism classes of low rank simple Lie groups. |
| Keywords | framed manifolds simple Lie groups stable homotopy groups |
| Published Date | 2018-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume60 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 165 |
| End Page | 173 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| Official Url | http://www.math.okayama-u.ac.jp/mjou/| |
| language | 英語 |
| Copyright Holders | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_060_175_208.pdf |
|---|---|
| Author | Minamide, Arata| |
| Abstract | In this paper, we prove that the etale fundamental group of a hyperbolic curve over an arithmetic field [e.g., a finite extension field of Q or Qp] or an algebraically closed field is indecomposable [i.e., cannot be decomposed into the direct product of nontrivial profinite groups]. Moreover, in the case of characteristic zero, we also prove that the etale fundamental group of the configuration space of a curve of the above type is indecomposable. Finally, we consider the topic of indecomposability in the context of the comparison of the absolute Galois group of Q with the Grothendieck-Teichmuller group GT and pose the question: Is GT indecomposable? We give an affirmative answer to a pro-l version of this question |
| Keywords | indecomposability etale fundamental group hyperbolic curve con guration space Grothendieck-Teichmuller group |
| Published Date | 2018-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume60 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 175 |
| End Page | 208 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| Official Url | http://www.math.okayama-u.ac.jp/mjou/| |
| language | 英語 |
| Copyright Holders | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_060_209_219.pdf |
|---|---|
| Author | Talo, Özer| Bas̨ar, Feyzi| |
| Abstract | Móricz and Rhoades determined the necessary and sufficient Tauberian conditions for certain weighted mean methods of summability in [Acta. Math. Hungar. 102(4) (2004), 279{285]. In the present paper, we deal with the necessary and sufficient Tauberian conditions for the Ar method which was introduced by Bas̨ar in [Fırat Üniv. Fen & Müh. Bil. Dergisi 5(1)(1993), 113{117]. |
| Keywords | Summability by Ar methods one-sided and two-sided Tauberian conditions slowly oscillating sequences |
| Published Date | 2018-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume60 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 209 |
| End Page | 219 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| Official Url | http://www.math.okayama-u.ac.jp/mjou/| |
| language | 英語 |
| Copyright Holders | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_060_221_231.pdf |
|---|---|
| Author | Hayata, Takahiro| Ishikawa, Masao| |
| Abstract | The aim of this paper is to answer the question in Remark 8.2 of Takahiro Hayata, Harutaka Koseki, and Takayuki Oda, Matrix coefficients of the middle discrete series of SU(2; 2), J. Funct. Anal. 185 (2001), 297{341, by giving an elementary proof of certain identities on binomials. |
| Keywords | binomial-coefficient identity middle discrete series real semi-simple Lie groups. |
| Published Date | 2018-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume60 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 221 |
| End Page | 231 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| Official Url | http://www.math.okayama-u.ac.jp/mjou/| |
| language | 英語 |
| Copyright Holders | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_060_233_240.pdf |
|---|---|
| Author | Ghazi, Nour| |
| Abstract | The main topic of this paper is to generalize the problem of Beckmann-Black for pro nite groups. We introduce the Beckmann-Black problem for complete systems of finite groups and for unramified extensions. We prove that every Galois extension of profi nite abelian group over a ψ-free fi eld is the specialization of some tower of regular Galois extensions of the same group. |
| Keywords | Inverse Galois theory algebraic covers |
| Published Date | 2018-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume60 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 233 |
| End Page | 240 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| Official Url | http://www.math.okayama-u.ac.jp/mjou/| |
| language | 英語 |
| Copyright Holders | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_001_018.pdf |
|---|---|
| Author | Yang, Yu| |
| Abstract | Let R be a complete discrete valuation ring with algebraically residue field of characteristic p > 0 and X a stable curve over R. In the present paper, we study the geometry of coverings of X. Under certain assumptions, we prove that, by replacing R by a finite extension of R, there exists a morphism of stable curves f : Y → X over R such that the morphism fη : Yη → Xη induced by f on generic fibers is finite étale and the morphism fs : Ys → Xs induced by f on special fibers is non-finite. |
| Keywords | stable curve stable covering vertical point admissible covering |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 1 |
| End Page | 18 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | 英語 |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_019_035.pdf |
|---|---|
| Author | Cahen, Benjamin| |
| Abstract | We introduce a Schr¨odinger model for the generic representations of a Heisenberg motion group and we construct adapted Weyl correspondences for these representations by adapting the method introduced in [ B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177-190]. |
| Keywords | Weyl correspondence Berezin quantization Heisenberg motion group Schr¨odinger representation Bargmann-Fock representation Segal-Bargmann transform unitary representation coadjoint orbit |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 19 |
| End Page | 35 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | 英語 |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_037_073.pdf |
|---|---|
| Author | Higashiyama, Kazumi| |
| Abstract | In the present paper, we study configuration space groups. The goal of this paper is to reconstruct group-theoretically the inertia groups associated to various types of log divisors of a log configuration space of a smooth log curve from the associated configuration space group equipped with its collection of log-full subgroups. |
| Keywords | anabelian geometry configuration space log divisor log-full subgroup |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 37 |
| End Page | 73 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | 英語 |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_075_084.pdf |
|---|---|
| Author | Izadi, Farzali| Baghalaghdam, Mehdi| |
| Keywords | Diophantine equations Cubes Quintics Elliptic curves Rank |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 75 |
| End Page | 84 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | 英語 |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_085_098.pdf |
|---|---|
| Author | Watanabe, Taisuke| |
| Abstract | We verify some cases of a conjecture by C. Hayashi on the structure of the profile of a finite connected quandle. |
| Keywords | connected quandle finite quandle |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 85 |
| End Page | 98 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | 英語 |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_099_128.pdf |
|---|---|
| Author | Hakim, Denny Ivanal| Nogayama, Toru| Sawano, Yoshihiro| |
| Abstract | This paper extends the result in [8] to Triebel-Lizorkin-Morrey spaces which contains 4 parameters p, q, r, s. This paper reinforces our earlier paper [8] by Nakamura, the first and the third authors in two different directions. First, we include the smoothness parameter s and the second smoothness parameter r. In [8] we assumed s = 0 and r = 2. Here we relax the conditions on s and r to s ∈ R and 1 < r ≤ ∞. Second, we apply a formula obtained by Bergh in 1978 to prove our main theorem without using the underlying sequence spaces. |
| Keywords | smoothness Morrey spaces Triebel-Lizorkin-Morrey spaces complex interpolation square function |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 99 |
| End Page | 128 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | 英語 |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_129_139.pdf |
|---|---|
| Author | Shimeno, Nobukazu| |
| Abstract | We prove that the radial part of the class one Whittaker function on a split semisimple Lie group can be obtained as an appropriate limit of the Heckman-Opdam hypergeometric function. |
| Keywords | root system hypergeometric function Whittaker function |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 129 |
| End Page | 139 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | 英語 |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
