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We investigate the multiplicative properties of the spaces As in the case of the classical Sobolev spaces this space does not form an algebra. We investigate instead the space , more precisely a subspace of it formed by products of solutions of the homogeneous wave equation with data in .
@article{SEDP_1997-1998____A7_0, author = {Klainerman, Sergiu and Machedon, Matei}, title = {On the algebraic properties of the $H_{\frac{n}{2},{\frac{1}{2}}}$ spaces}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:7}, pages = {1--9}, publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique}, year = {1997-1998}, zbl = {1064.46501}, mrnumber = {1660520}, language = {en}, url = {http://geodesic.mathdoc.fr/item/SEDP_1997-1998____A7_0/} }
TY - JOUR AU - Klainerman, Sergiu AU - Machedon, Matei TI - On the algebraic properties of the $H_{\frac{n}{2},{\frac{1}{2}}}$ spaces JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:7 PY - 1997-1998 SP - 1 EP - 9 PB - Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://geodesic.mathdoc.fr/item/SEDP_1997-1998____A7_0/ LA - en ID - SEDP_1997-1998____A7_0 ER -
%0 Journal Article %A Klainerman, Sergiu %A Machedon, Matei %T On the algebraic properties of the $H_{\frac{n}{2},{\frac{1}{2}}}$ spaces %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:7 %D 1997-1998 %P 1-9 %I Centre de mathématiques Laurent Schwartz, École polytechnique %U http://geodesic.mathdoc.fr/item/SEDP_1997-1998____A7_0/ %G en %F SEDP_1997-1998____A7_0
Klainerman, Sergiu; Machedon, Matei. On the algebraic properties of the $H_{\frac{n}{2},{\frac{1}{2}}}$ spaces. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1997-1998), Exposé no. 7, 9 p. http://geodesic.mathdoc.fr/item/SEDP_1997-1998____A7_0/
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