On the diametral dimension of weighted spaces of analytic germs

Michael Langenbruch. "On the diametral dimension of weighted spaces of analytic germs." Studia Mathematica 233.1 (2016): 85-100. <http://eudml.org/doc/285729>.

@article{MichaelLangenbruch2016,
abstract = {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 $S¹_\{α\}$ and $S₁^\{α\}$ for α > 0. Moreover we show that the classical spaces of Fourier hyperfunctions and of modified Fourier hyperfunctions are not isomorphic.},
author = {Michael Langenbruch},
journal = {Studia Mathematica},
keywords = {holomorphic germs; diametral dimension; isomorphic classification; Gelfand-Shilov spaces; Fourier hyperfunctions; modified Fourier hyperfunctions},
language = {eng},
number = {1},
pages = {85-100},
title = {On the diametral dimension of weighted spaces of analytic germs},
url = {http://eudml.org/doc/285729},
volume = {233},
year = {2016},
}

TY - JOUR
AU - Michael Langenbruch
TI - On the diametral dimension of weighted spaces of analytic germs
JO - Studia Mathematica
PY - 2016
VL - 233
IS - 1
SP - 85
EP - 100
AB - 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 $S¹_{α}$ and $S₁^{α}$ for α > 0. Moreover we show that the classical spaces of Fourier hyperfunctions and of modified Fourier hyperfunctions are not isomorphic.
LA - eng
KW - holomorphic germs; diametral dimension; isomorphic classification; Gelfand-Shilov spaces; Fourier hyperfunctions; modified Fourier hyperfunctions
UR - http://eudml.org/doc/285729
ER -