On the diametral dimension of weighted spaces of analytic germs
Studia Mathematica, Tome 233 (2016) no. 1, p. 85.

Voir la notice de l'article dans European Digital Mathematics Library

We prove precise estimates for the diametral dimension of certain weighted spaces of germs of holomorphic functions defined on strips near ℝ. This implies a full isomorphic classification for these spaces including the Gelfand-Shilov spaces S ¹ α and S ₁ α for α > 0. Moreover we show that the classical spaces of Fourier hyperfunctions and of modified Fourier hyperfunctions are not isomorphic.
Classification : 46F15, 46E10, 46A45, 46A63, 30H50
Mots-clés : holomorphic germs, diametral dimension, isomorphic classification, Gelfand-Shilov spaces, Fourier hyperfunctions, modified Fourier hyperfunctions 
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Michael Langenbruch. On the diametral dimension of weighted spaces of analytic germs. Studia Mathematica, Tome 233 (2016) no. 1, p. 85. https://geodesic-test.mathdoc.fr/item/STUMA_2016__233_1_285729/