On the singular spectrum of tempered ultrahyperfunctions corresponding to proper convex cones
Franco, Daniel H.1 ; Alves, Magno2
1 Universidade Federal de Viçosa, Brazil
2 Universidade Federal de Juiz de Fora, Brazil
Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 121-142

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
Classification : 46, 81
Mots-clés : Singular spectrum, tempered ultrahyperfunctions

Franco, Daniel H. 1 ; Alves, Magno 2

1 Universidade Federal de Viçosa, Brazil
2 Universidade Federal de Juiz de Fora, Brazil 
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     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},
     year = {2019},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {141},
     doi = {10.4171/RSMUP/17},
     mrnumber = {3962823},
     zbl = {1435.46031},
     url = {https://www.numdam.org/articles/10.4171/RSMUP/17/}
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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

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