Conical Fourier-Borel transformations for harmonic functionals on the Lie ball

Morimoto, Mitsuo; Fujita, Keiko

Banach Center Publications, Tome 37 (1996), p. 95-113 / Harvested from The Polish Digital Mathematics Library

Résumé

Let L(z) be the Lie norm on $\tilde{} = ℂ^{n + 1}$ and L*(z) the dual Lie norm. We denote by $_{Δ} (\tilde{B} (R))$ the space of complex harmonic functions on the open Lie ball $\tilde{B} (R)$ and by $E x p_{Δ} (\tilde{}; (A, L *))$ the space of entire harmonic functions of exponential type (A,L*). A continuous linear functional on these spaces will be called a harmonic functional or an entire harmonic functional. We shall study the conical Fourier-Borel transformations on the spaces of harmonic functionals or entire harmonic functionals.

Publié le : 1996-01-01

Zbl 0874.46028

EUDML-ID : urn:eudml:doc:208621

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     author = {Morimoto, Mitsuo and Fujita, Keiko},
     title = {Conical Fourier-Borel transformations for harmonic functionals on the Lie ball},
     journal = {Banach Center Publications},
     volume = {37},
     year = {1996},
     pages = {95-113},
     zbl = {0874.46028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv37i1p95bwm}
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Morimoto, Mitsuo; Fujita, Keiko. Conical Fourier-Borel transformations for harmonic functionals on the Lie ball. Banach Center Publications, Tome 37 (1996) pp. 95-113. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv37i1p95bwm/

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