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pro vyhledávání: '"Roger Godement"'
Autor:
Roger Godement
This textbook covers the general theory of Lie groups. By first considering the case of linear groups (following von Neumann's method) before proceeding to the general case, the reader is naturally introduced to Lie theory.Written by a master of the
Autor:
Roger Godement
Publikováno v:
Universitext ISBN: 9783319543734
The exponential map for Lie groups is studied and used to prove properties of Lie groups and the relation with Lie algebras.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d7f04d8116ac4795acc16cb650430a40
https://doi.org/10.1007/978-3-319-54375-8_6
https://doi.org/10.1007/978-3-319-54375-8_6
Autor:
Roger Godement
Publikováno v:
Universitext ISBN: 9783319543734
The Lie algebra of a Lie group is introduced via the tangent space and distributions and differential operators are discussed and used in this setting.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6902eb511d45451e103ffdd57ce1d1a
https://doi.org/10.1007/978-3-319-54375-8_5
https://doi.org/10.1007/978-3-319-54375-8_5
Autor:
Roger Godement
Publikováno v:
Universitext ISBN: 9783319543734
Analytic properties of matrix groups and their Lie algebras are studied via the exponential and logarithm maps, following von Neumann.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7bf7c77c5c374168ea3c9b780949044d
https://doi.org/10.1007/978-3-319-54375-8_3
https://doi.org/10.1007/978-3-319-54375-8_3
Autor:
Roger Godement
Publikováno v:
Universitext ISBN: 9783319543734
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd5a50c7e3cd6751e3faeddb2c5c169e
https://doi.org/10.1007/978-3-319-54375-8_2
https://doi.org/10.1007/978-3-319-54375-8_2
Autor:
Roger Godement
Publikováno v:
Universitext ISBN: 9783319543734
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2502f284a85695ed445363826b5590d9
https://doi.org/10.1007/978-3-319-54375-8_4
https://doi.org/10.1007/978-3-319-54375-8_4
Autor:
Roger Godement
Publikováno v:
Universitext ISBN: 9783319543734
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a5bc8464ec6a8c783c9f51204e6555ff
https://doi.org/10.1007/978-3-319-54375-8_1
https://doi.org/10.1007/978-3-319-54375-8_1
Autor:
Roger Godement
Analysis Volume IV introduces the reader to functional analysis (integration, Hilbert spaces, harmonic analysis in group theory) and to the methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of
Autor:
Roger Godement
Volume III sets out classical Cauchy theory. It is much more geared towards its innumerable applications than towards a more or less complete theory of analytic functions. Cauchy-type curvilinear integrals are then shown to generalize to any number o
Autor:
Roger Godement
Publikováno v:
Universitext ISBN: 9783319169064
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10323a3379f8e7e25c43841a57388aa9
https://doi.org/10.1007/978-3-319-16907-1_12
https://doi.org/10.1007/978-3-319-16907-1_12