Spectral synthesis in L²(G)
Jean Ludwig ; Carine Molitor-Braun ; Sanjoy Pusti
Colloquium Mathematicae, Tome 139 (2015), p. 89-103 / Harvested from The Polish Digital Mathematics Library
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For locally compact, second countable, type I groups G, we characterize all closed (two-sided) translation invariant subspaces of L²(G). We establish a similar result for K-biinvariant L²-functions (K a fixed maximal compact subgroup) in the context of semisimple Lie groups.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:283702 
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     title = {Spectral synthesis in L$^2$(G)},
     journal = {Colloquium Mathematicae},
     volume = {139},
     year = {2015},
     pages = {89-103},
     zbl = {1312.43004},
     language = {en},
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Jean Ludwig; Carine Molitor-Braun; Sanjoy Pusti. Spectral synthesis in L²(G). Colloquium Mathematicae, Tome 139 (2015) pp. 89-103. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm138-1-6/