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We show that Boehmians defined over open sets of ℝⁿ constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over topological spaces.
Jonathan Beardsley, and Piotr Mikusiński. "A sheaf of Boehmians." Annales Polonici Mathematici 107.3 (2013): 293-307. <http://eudml.org/doc/281087>.
@article{JonathanBeardsley2013, abstract = {We show that Boehmians defined over open sets of ℝⁿ constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over topological spaces.}, author = {Jonathan Beardsley, Piotr Mikusiński}, journal = {Annales Polonici Mathematici}, keywords = {Boehmians; convolution; convolution quotient; sheaf; convergence}, language = {eng}, number = {3}, pages = {293-307}, title = {A sheaf of Boehmians}, url = {http://eudml.org/doc/281087}, volume = {107}, year = {2013}, }
TY - JOUR AU - Jonathan Beardsley AU - Piotr Mikusiński TI - A sheaf of Boehmians JO - Annales Polonici Mathematici PY - 2013 VL - 107 IS - 3 SP - 293 EP - 307 AB - We show that Boehmians defined over open sets of ℝⁿ constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over topological spaces. LA - eng KW - Boehmians; convolution; convolution quotient; sheaf; convergence UR - http://eudml.org/doc/281087 ER -