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maitani-1983
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論文情報
title
Quasiconformal Variations of Green's and Neumann's Functions for Arbitrary Hyperbolic Riemann Surfaces
contributor.author
米谷,文男
MAITANI,Fumio
subject
quasiconformal deformations
period reproducing differentials
slits mappings
Neumann's functions
Robin's constants
Bergmann kernels
カテゴリ
1983 VOL.32
論文詳細を表示
title
Quasiconformal Variations of Green's and Neumann's Functions for Arbitrary Hyperbolic Riemann Surfaces
contributor.author
米谷,文男
MAITANI,Fumio
subject
quasiconformal deformations
period reproducing differentials
slits mappings
Neumann's functions
Robin's constants
Bergmann kernels
date.accessioned
2009-04-07T06:57:46Z
date.available
2009-04-07T06:57:46Z
date.issued
1984-03
description.abstract
The purpose of this paper is to show the variational formulas of potential theoretic quantities on arbitrary Riemann surfaces under quasiconformal deformations. We have already given the variational formulas for Riemann's period matrices and certain abelian differentials. There we used a notion of behavior spaces in the Hilbert space over the complex number field. In this paper, we shall use behavior spaces (Shiba's type) in the Hilbert space of first order complex differentials over the real number field. Applying the previous consideration to them, we can get a variational formula of Green's functions on arbitrary hyperbolic Riemann surfaces, which is an extension of the one by Guerrero on finite Riemann surfaces. Further we shall obtain the variational formulas for period reproducing differentials, slits mappings, Neumann's functions, Robin's constants and Bergmann kernels.
description.provenance
Submitted by 附属図書館 KIT-Repository (dspace-admin@jim.kit.ac.jp) on 2009-04-07T06:57:46Z No. of bitstreams: 1 maitani-1983.pdf: 489039 bytes, checksum: a6eb6f4665bf8ecc949d34192eb2bd0d (MD5)
Made available in DSpace on 2009-04-07T06:57:46Z (GMT). No. of bitstreams: 1 maitani-1983.pdf: 489039 bytes, checksum: a6eb6f4665bf8ecc949d34192eb2bd0d (MD5) Previous issue date: 1984-03
format.extent
489039 bytes
format.mimetype
application/pdf
identifier.citation
Reprinted from the Memoirs of the Faculty of Industrial Arts, Kyoto Technical University, Science and Technology, Vol.32 (1983) pp.61-71
identifier.uri
http://hdl.handle.net/10212/1905
language.iso639-2
en
rights.textversion
type.nii
Journal Article
type
Article