Résumé
on étudie pour les algèbres de Jordan formellement réelles des analogues de la fonction K de Bessel classique, généralisant les résultats de l'article [1].
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Références
BENGSTON T. Bessel functions on Pn, Pacif. J. of Math. 108 (1983), 19–29.
BRAUN H., KOECHER M. Jordan Algebren, Springer Verlag, 1966.
DORFMEISTER J. Theta functions for the special formally real Jordan Algebras, Inventiones Math. 44, (1978), 103–108.
FARAUT J. and KORANYI A. Function spaces and reproducing kernels on bounded symmetric domains, à paraître.
FARAUT J. and SATAKE I. The functional equation of zeta distributions associated with formally real Jordan algebras, Tohoku Math. J. 36 (1984), 469–482.
KORANYI A. The volume of symmetric domains, the Koecher Gamma function and an integral of Selberg, à paraitre.
LASSALLE M; Algèbre de Jordan et ensemble de Wallach, Inventiones Math. 89 (1987), 375–393.
SATAKE I. Algebraic structures of symmetric domains. Iwanami-Shoten and Princeton University Press, 1980
SATAKE I. A formula in simple Jordan algebras, Tohoku Math. J., 36 (1984), 611–622.
SPRINGER T.A. Jordan Algebras and algebraic groups, Ergebnisse der Mathematik und ihre Grenzgebiete, Band 75, Springer Verlag (1973).
TERRAS A. Analysis on positive matrices as it might have occured to Fourier. Analytic Number Theory (Philadelphia 1980) 442–478 Lectures Notes in Math. 899, Springer Verlag.
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© 1988 Springer-Verlag
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Clerc, J.L. (1988). Fonctions K de Bessel pour les algebres de Jordan. In: Eymard, P., Pier, JP. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 1359. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086593
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DOI: https://doi.org/10.1007/BFb0086593
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