Distributions homogènes sur des espaces de matrices
Mémoires de la Société Mathématique de France, no. 30 (1972) , 112 p. 
@book{MSMF_1972__30__3_0,
     author = {Ra{\"\i}s, Mustapha},
     title = {Distributions homog\`enes sur des espaces de matrices},
     series = {M\'emoires de la Soci\'et\'e Math\'ematique de France},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {30},
     year = {1972},
     doi = {10.24033/msmf.57},
     zbl = {0245.46045},
     mrnumber = {58 #22412},
     language = {fr},
     url = {http://archive.numdam.org/item/MSMF_1972__30__3_0/}
}
TY  - BOOK
AU  - Raïs, Mustapha
TI  - Distributions homogènes sur des espaces de matrices
T3  - Mémoires de la Société Mathématique de France
PY  - 1972
DA  - 1972///
IS  - 30
PB  - Société mathématique de France
UR  - http://archive.numdam.org/item/MSMF_1972__30__3_0/
UR  - https://zbmath.org/?q=an%3A0245.46045
UR  - https://www.ams.org/mathscinet-getitem?mr=58 #22412
UR  - https://doi.org/10.24033/msmf.57
DO  - 10.24033/msmf.57
LA  - fr
ID  - MSMF_1972__30__3_0
ER  - 
Rais, Mustapha. Distributions homogènes sur des espaces de matrices. Mémoires de la Société Mathématique de France, no. 30 (1972), 112 p. doi : 10.24033/msmf.57. http://numdam.org/item/MSMF_1972__30__3_0/

[1] A. Weil, Fonctions zêta et distributions (Séminaire Bourbaki n° 312, 1966). | Numdam | Zbl 0226.12008

[2] H. Weyl, The classical groups, their invariants and representations. (Princeton University Press, 1946).

[3] H.W. Turnbull, The theory of determinants, matrices and invariants. (Dover 1960). | MR 24 #A123 | Zbl 0103.00702

[4] I.M. Gelfand - G.E. Chilov, Les distributions. (Dunod 1962). | MR 24 #A2235 | Zbl 0115.10102

[5] S. Helgason, Radon-Fourier Transforms on symmetric spaces and related group representations. (Bull. Amer. Math. Soc. 71, 1965, (757-763)). | MR 31 #3543 | Zbl 0163.37001

[6] L. Schwartz, Théorie des distributions. (Hermann 1966). | MR 35 #730 | Zbl 0149.09501

[7] A. Tengstrand, Distributions invariant under an orthogonal group (Math. Scand. 8, 1960, (201-218). | MR 23 #A3450 | Zbl 0104.33402

[8] M. Raïs, Sur certaines distributions homogènes (C.R.A.S. 266, 1968, (460-462)). | Zbl 0163.36601

[9] G. Glaeser, Fonctions composées différentiables, (Annals of Math. (2) 77, 1963, (193-209)). | MR 26 #624 | Zbl 0106.31302

[10] L. Gårding - J.L. Lions, Functional analysis (Nuovo Cimento Suppl. Vol. XIV, ser. X, 1959). | MR 22 #8321 | Zbl 0091.27602

[11] L. Gårding, Distributions invariantes, (Séminaire Leray 1961-1962). | Numdam

[12] R. Godement, Fonctions automorphes, Exposé n°5 du séminaire Cartan 1957-1958). | Numdam

[13] H.W. Turnbull, On differentiating a matrix (Proc. Edinb. Math. Soc. (2) Vol. 1 Part 2, 1928, (111-128)). | JFM 54.0111.01

[14] F.R. Gantmacher, Théorie des matrices I. (Dunod 1966). | Zbl 0136.00410

[15] E.M. Stein, Analysis in matrix spaces and some new representations of SL(n,ℂ) (Ann. of Math. (2) 86, 1967, (461-490)). | MR 36 #2749 | Zbl 0188.45303

[16] G. Ancochéa, On semi-automorphisms of division algebras (Ann. of Math. (2) 48, 1947, (147-153)). | MR 8,310c | Zbl 0029.10703

[17] R.D. Schafer, Introduction to nonassociative algebras. (Acad. Press, 1966). | MR 35 #1643 | Zbl 0145.25601

[18] N. Jacobson, Some groups of transformations defined by Jordan algebras II (J. Reine Angew. Math. 204, 1960 (74-98)). | MR 28 #3065 | Zbl 0142.26401

[19] G.K. Kalisch, On special Jordan algebras (Trans. Amer. Math. Soc. 61, 1947 (482-494)). | MR 8,561e | Zbl 0032.25003

[20] T. Ono, On algebraic groups defined by norm forms on separable extensions (Nagoya Math. Journal 11, 1957, (125-130)). | MR 19,8c | Zbl 0093.03004

[21] N. Jacobson, Some groups of transformations defined by Jordan algebra (J. Reine Angew. Math. 201, 1959, (178-195)). | MR 21 #5666 | Zbl 0084.03601

[22] J. Dieudonné, Sur une généralisation du groupe orthogonal à 4 variables (Arch. Math. 1, 1949, (282-287)). | MR 10,586l | Zbl 0032.10601

[23] G.S. Gindikin, Analysis in homogeneous domains (Russ. Math. Surv. 19, 1964). | MR 30 #2167 | Zbl 0144.08101

Cité par Sources :