On the singular spectrum of tempered ultrahyperfunctions corresponding to proper convex cones
Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 121-142.
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We address in this paper the issue of singularities of ultrahyperfunctions. Following the Carmichael’s approach for ultrahyperfunctions, we study the relation between the singular spectrum of a class of tempered ultrahyperfunctions corresponding to proper convex cones and their expressions as boundary values of holomorphic functions. In passing, a simple version of the celebrated edge of the wedge theorem for this setting is derived from the integral representation without using cohomology.
Publié le :
DOI : 10.4171/RSMUP/17
DOI : 10.4171/RSMUP/17
Classification :
46, 81
Mots-clés : Singular spectrum, tempered ultrahyperfunctions
Mots-clés : Singular spectrum, tempered ultrahyperfunctions
Affiliations des auteurs :
Franco, Daniel H. 1 ;
Alves, Magno 2
@article{RSMUP_2019__141__121_0, author = {Franco, Daniel H. and Alves, Magno}, title = {On the singular spectrum of tempered ultrahyperfunctions corresponding to proper convex cones}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {121--142}, publisher = {European Mathematical Society Publishing House}, address = {Zuerich, Switzerland}, volume = {141}, year = {2019}, doi = {10.4171/RSMUP/17}, mrnumber = {3962823}, zbl = {1435.46031}, url = {http://www.numdam.org/articles/10.4171/RSMUP/17/} }
TY - JOUR AU - Franco, Daniel H. AU - Alves, Magno TI - On the singular spectrum of tempered ultrahyperfunctions corresponding to proper convex cones JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2019 SP - 121 EP - 142 VL - 141 PB - European Mathematical Society Publishing House PP - Zuerich, Switzerland UR - http://www.numdam.org/articles/10.4171/RSMUP/17/ DO - 10.4171/RSMUP/17 ID - RSMUP_2019__141__121_0 ER -
%0 Journal Article %A Franco, Daniel H. %A Alves, Magno %T On the singular spectrum of tempered ultrahyperfunctions corresponding to proper convex cones %J Rendiconti del Seminario Matematico della Università di Padova %D 2019 %P 121-142 %V 141 %I European Mathematical Society Publishing House %C Zuerich, Switzerland %U http://www.numdam.org/articles/10.4171/RSMUP/17/ %R 10.4171/RSMUP/17 %F RSMUP_2019__141__121_0
Franco, Daniel H.; Alves, Magno. On the singular spectrum of tempered ultrahyperfunctions corresponding to proper convex cones. Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 121-142. doi : 10.4171/RSMUP/17. http://www.numdam.org/articles/10.4171/RSMUP/17/
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