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We consider the space of ultradifferentiable functions with compact supports and the space of polynomials on . A description of the space of polynomial ultradistributions as a locally convex direct sum is given.
Katarzyna Grasela. "The algebra of polynomials on the space of ultradifferentiable functions." Banach Center Publications 88.1 (2010): 133-143. <http://eudml.org/doc/281679>.
@article{KatarzynaGrasela2010, abstract = {We consider the space $ ^\{ℳ\}$ of ultradifferentiable functions with compact supports and the space of polynomials on $ ^\{ℳ\}$. A description of the space $( ^\{ℳ\})$ of polynomial ultradistributions as a locally convex direct sum is given.}, author = {Katarzyna Grasela}, journal = {Banach Center Publications}, keywords = {polynomial ultradistributions}, language = {eng}, number = {1}, pages = {133-143}, title = {The algebra of polynomials on the space of ultradifferentiable functions}, url = {http://eudml.org/doc/281679}, volume = {88}, year = {2010}, }
TY - JOUR AU - Katarzyna Grasela TI - The algebra of polynomials on the space of ultradifferentiable functions JO - Banach Center Publications PY - 2010 VL - 88 IS - 1 SP - 133 EP - 143 AB - We consider the space $ ^{ℳ}$ of ultradifferentiable functions with compact supports and the space of polynomials on $ ^{ℳ}$. A description of the space $( ^{ℳ})$ of polynomial ultradistributions as a locally convex direct sum is given. LA - eng KW - polynomial ultradistributions UR - http://eudml.org/doc/281679 ER -