A generalized exponential map for an affinely homogeneous cone

Umberto Sampieri

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1983)

  • Volume: 75, Issue: 6, page 320-330
  • ISSN: 1120-6330

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Sampieri, Umberto. "A generalized exponential map for an affinely homogeneous cone." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 75.6 (1983): 320-330. <http://eudml.org/doc/287320>.

@article{Sampieri1983,
author = {Sampieri, Umberto},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {homogeneous cone; characteristic function},
language = {eng},
month = {12},
number = {6},
pages = {320-330},
publisher = {Accademia Nazionale dei Lincei},
title = {A generalized exponential map for an affinely homogeneous cone},
url = {http://eudml.org/doc/287320},
volume = {75},
year = {1983},
}

TY - JOUR
AU - Sampieri, Umberto
TI - A generalized exponential map for an affinely homogeneous cone
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1983/12//
PB - Accademia Nazionale dei Lincei
VL - 75
IS - 6
SP - 320
EP - 330
LA - eng
KW - homogeneous cone; characteristic function
UR - http://eudml.org/doc/287320
ER -

References

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  1. Koszul, (1962) - Ouverts convexes homogènes des espaces affines, «Math. Zeitschr», 79, 254-259. Zbl0191.20501MR150787
  2. Koszul, (1961) - Domaines bornés homogènes et orbites de groupes de trasformation affines, «Bull. Soc. Math. France», 89, 515-533. Zbl0144.34002MR145559
  3. Vinberg, (1963) - Theory of convex homogeneous cones, «Trudy Moscow Math. Obsh.», 12, «Amer. Math. Soc. Trans.», 341-403 (1965). 
  4. Vinberg, (1964) - The structure of the groups of automorphisms of a homogeneous convex cone, «Trudy Moscow Math. Obsh.», 13 , 56-83, «Amer. Math. Soc. Trans.», 63-93 (1965). Zbl0224.17010MR201575
  5. Gindikin, (1964) - Analysis in homogeneous domains, «Russian Math. Surveys», 19, 3-92. Zbl0144.08101MR171941
  6. Koecher, (1957) - Positivitätsbereiche in 𝐑 n , «Am. J. Math.», 79, 575-596. Zbl0078.01205MR90771
  7. Koecher, (1958) - Analysis in Reellen Jordan Algebren, «Nachr. Akad. Wiss. Göttingen», Nr. 4, 67-74. Zbl0083.02701MR97431
  8. Vinberg, (1961) - Morozov - Borel theorem for real algebraic groups, «Dokl. Akad. Nauk S.S.S.R.», 141, 270-273, «Am. Math. Soc. Trans.», 1416-1419 (1965). MR142683

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