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0001１３２人目の素数さん
2005/07/10(日) 00:09:360093１３２人目の素数さん
2006/03/21(火) 21:56:140094１３２人目の素数さん
2006/03/21(火) 22:14:33Niels A Obers et al 2000 Class. Quantum Grav. 17 1215-1224 doi:10.1088/0264-9381/17/5/330
Niels A Obers and Boris Pioline
Nordita and NBI, Blegdamsvej 17, DK-2100 Copenhagen, Denmark
Jefferson Physical Laboratory, Harvard University, Cambridge MA 02138, USA
0095１３２人目の素数さん
2006/03/21(火) 22:19:46series are closely related to certain kind of Dirichlet series
and representation numbers of sums of divisors.
Finally we also discuss applications to problems from functional
analysis, namely the determination of reproducing kernels of
special integral equations. In particular, we can show that
the Bergman kernel of rectangular and strip domains can be
written in terms of a finite sum of monogenic Eisenstein series.
0096１３２人目の素数さん
2006/03/21(火) 22:28:07AMS Chelsea Publishing, Providence, Rhode Island, 1992.
0097１３２人目の素数さん
2006/03/21(火) 22:38:54Authors: Shklyarov, D.; Sinel'shchikov, S.; Vaksman, L.
In our preprint q-alg/9703005 q-analogues of bounded symmetric
domains were defined to be homogeneous spaces of the associated
quantum groups. The investigation of a simplest among those domains,
the quantum matrix ball, was started in math.QA/9803110. This work
presents a construction of q-analogues for Hardy-Bergman spaces of
'functions in those balls', together with an explicit form of
the Bergman kernel. Besides that, two auxiliary results are also
established: a boundedness of matrix balls is proved, and de Rham
complexes of differential forms with finite coefficients in those
balls are constructed.
Comment: LaTeX2e, 28 pages, [email protected],
[email protected]
0098１３２人目の素数さん
2006/03/21(火) 22:45:370099１３２人目の素数さん
2006/03/21(火) 22:48:19- The articles included in this collection.- List of articles.- A note on the normalization-theorem of an integral domain.
- Reduction of algebraic varieties with respect to a discrete valuation of the basic field.
- On complex multiplications.- La fonction [zeta] du corps des fonctions modulaires elliptiques.
- Correspondences modulaires et les fonctions zeta de courbes algebriques.
- Modules des varietes abeliennes polarisees et fonctions modulaires.
- Functions automorphes et correspondances modulaires.- On the theory of automophic functions.
- Sur les integrales attachees aux formes automorphes.- On specializations of abelian varieties (with Michael Hecking).
- On vector differential forms attached to automorphic forms (with John Thompson).
- On the zeta functions of the algebraic curves uniformized by certain automorphic functions.
- On Dirichlet series and abelian varieties attached to automorphic forms.-
0100１３２人目の素数さん
2006/03/21(火) 23:10:39Authors: Dai, Xianzhe; Liu, Kefeng; Ma, Xiaonan
We study the asymptotic of the Bergman kernel of the spinc Dirac
operator on high tensor powers of a line bundle.
Comment: Final version, 35 pages, J. Differential Geom. to appear
0101１３２人目の素数さん
2006/03/21(火) 23:17:53by
Keiko Fujita
Saga University
We have studied the Bergman kernel for some balls which are related
to the Lie ball and the dual Lie ball. We represented their Bergman
kernels by means of the double series expansion using the spherical
harmonics. In general, we do not know the concrete form of the double
series. But for some special cases we can represent them in a concrete form.
In this talk, we report some topics on the Bergman kernel.
Date received: May 28, 2005
0102１３２人目の素数さん
2006/03/21(火) 23:23:01Author's abstract:
The set theory "New Foundations" or NF introduced by W.V.O. Quine in 1935 is discussed, along with related systems.
It is argued that, in spite of the fact that the consistency of NF remains an open question, the relative consistency results for NFU obtained by R. B. Kieng in 1969 demonstrate that Quine's general approach can be used successfully.
The development of basic mathematical concepts in a version of NFU is outlined.
The interpretation of set theories of the usual type in extensions of NFU is discussed. The problems with NF itself are discussed, and other fragments of NF known to be consistent are briefly introduced.
The relative merits of Quine-style and Zermelo-style set theories are considered from a philosophical standpoint.
Finally, systems of untyped combinatory logic or lambdaPcalculus related to NF and its fragments are introduced, and their relation to an abstract model of programming is outlined.
0103１３２人目の素数さん
2006/03/21(火) 23:26:030104１３２人目の素数さん
2006/03/21(火) 23:36:460105１３２人目の素数さん
2006/03/21(火) 23:38:57ハーモニックファンクションが好きだから・・・
0106１３２人目の素数さん
2006/03/22(水) 00:01:36Generalized Analytic Automrphic Forms in Hypercomplex Spaces
(Frontiers in Mathematics)
Krausshar, Rolf S., Ghent University, Belgium
March 2004, 200 pp., Softcover EUR 38.00 ISBN:3-7643-7059-9
(Birkh醇Buser)
多元・解析的保形形式の基礎理論について包括的に詳説した有用な研究書。
多元解析と解析的整数論による新しい分野の研究成果と応用が扱われている。
再生核をもつヒルベルト空間や偏微分方程式、特定の共形多様体の指数理論へ
の応用についても詳述されている。
Contents: 1. Function Theory in Hypercomplex Spaces.- 2. Clifford-
analytic Eisenstein Series Associated to Translation Groups.-
3. Clifford-analytic Modular Forms.- Index.
0107１３２人目の素数さん
2006/03/22(水) 00:33:46Selected topics in the theory of monogenic functions
1. Approaches to monogenic functions
2. Hypercomplex differential forms and their applications
3. Introduction to hypercomplex Eisenstein series
The aim of these lectures is discuss some topics in hypercomplex
function theory, including different approaches to the theory of
monogenic functions and beyond. Emphasis will be given to historical
aspects, in particular to motivations by problems in one and several
complex variables.
0108１３２人目の素数さん
2006/03/22(水) 00:42:22mechanics to field theory
Authors: Kanatchikov, I. V.
A quantization of field theory based on the DeDonder-Weyl covariant
Hamiltonian formulation is discussed. A hypercomplex extension of
quantum mechanics, in which the space-time Clifford algebra replaces
that of the complex numbers, appears as a result of quantization of
Poisson brackets of differential forms put forward for the
DeDonder-Weyl formulation earlier. The proposed covariant
hypercomplex Schrödinger equation is shown to lead in the classical
limit to the DeDonder-Weyl Hamilton-Jacobi equation and to obey
the Ehrenfest principle in the sense that the DeDonder-Weyl canonical
field equations are satisfied for the expectation values of properly
chosen operators.
Comment: LaTeX2e, 14pp., to appear in Rep. Math. Phys. (1998)
0109１３２人目の素数さん
2006/03/22(水) 00:48:32James D E Grant et al 1999 Nonlinearity 12 1247-1261 doi:10.1088/0951-7715/12/5/302
James D E Grant and I A B Strachan
Department of Mathematics, University of Hull, Hull HU6 7RX, UK
E-mail: [email protected] and [email protected]
Recommended by V F Lazutkin
Abstract. In this paper we study hypercomplex manifolds in four
dimensions. Rather than using an approach based on differential
forms, we develop a dual approach using vector fields. The condition
on these vector fields may then be interpreted as Lax equations,
exhibiting the integrability properties of such manifolds. A number
of different field equations for such hypercomplex manifolds are
derived, one of which is in Cauchy-Kovaleskaya form which enables
a formal general solution to be given. Various other properties of
the field equations and their solutions are studied, such as their
symmetry properties and the associated hierarchy of conservation
laws.
Mathematics Subject Classification: 35Q58, 32L25, 53A30
Print publication: Issue 5 (September 1999)
Received 28 August 1998
0110１３２人目の素数さん
2006/03/22(水) 00:55:290111１３２人目の素数さん
2006/03/22(水) 01:03:08Birte Feix
0112１３２人目の素数さん
2006/03/23(木) 15:15:340113１３２人目の素数さん
2006/03/26(日) 15:05:120114１３２人目の素数さん
2006/04/15(土) 22:47:480115１３２人目の素数さん
2006/04/23(日) 16:17:09| (・∀・) ﾉ
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0116１３２人目の素数さん
2006/04/27(木) 07:33:040117１３２人目の素数さん
2006/05/13(土) 21:13:120118１３２人目の素数さん
2006/05/26(金) 12:51:400119１３２人目の素数さん
2006/06/13(火) 21:59:170120GiantLeaves ◆6fN.Sojv5w
2006/06/13(火) 22:01:220121１３２人目の素数さん
2006/06/14(水) 17:36:550122GiantLeaves ◆6fN.Sojv5w
2006/06/15(木) 19:36:210123１３２人目の素数さん
2006/07/28(金) 15:23:440124菅_理人@kmath1107BBS ◆.ffFfff1uU
2006/07/29(土) 17:01:000125１３２人目の素数さん
2006/08/21(月) 17:11:280126１３２人目の素数さん
2006/08/30(水) 12:02:170127１３２人目の素数さん
2006/09/30(土) 19:55:360128１３２人目の素数さん
2006/10/03(火) 06:10:040129１３２人目の素数さん
2006/11/13(月) 00:25:140130１３２人目の素数さん
2006/11/26(日) 13:01:26Rogersの偽テータ函数に似ていますがもっと面白い函数れす。
特異点を除くとテータ函数になりますし、
テータ函数のような面白い関係式がなりたちます。
とりあえず『モックテータ函数』と名づけます。
0131菅_理人@kmath1107BBS ◆.ffFfff1uU
2006/12/03(日) 21:10:050132１３２人目の素数さん
2007/01/31(水) 14:29:350133１３２人目の素数さん
2007/02/05(月) 18:03:520134１３２人目の素数さん
2007/03/11(日) 20:43:170135１３２人目の素数さん
2007/06/02(土) 10:07:56のがいいでしょう。気さくないい先生です。きっと得るものが沢山ありますよ。
0136１３２人目の素数さん
2007/06/02(土) 11:58:030137１３２人目の素数さん
2007/06/02(土) 12:51:120138１３２人目の素数さん
2007/06/02(土) 13:49:53J S Dowker et al 1978 J. Phys. A: Math. Gen. 11 2255-2284 doi:10.1088/0305-4470/11/11/012
0139１３２人目の素数さん
2007/06/02(土) 17:00:35ちなみに竹内先生は退官されたです。
0140１３２人目の素数さん
2007/06/25(月) 12:31:490141１３２人目の素数さん
2007/07/10(火) 00:09:360142１３２人目の素数さん
2007/08/25(土) 08:41:000143１３２人目の素数さん
2007/10/30(火) 09:13:33■ このスレッドは過去ログ倉庫に格納されています