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We introduce some spaces of generalized functions that are defined as generalized quotients and Boehmians. The spaces provide simple and natural frameworks for extensions of the Fourier transform.
Dragu Atanasiu, and Piotr Mikusiński. "On the Fourier transform, Boehmians, and distributions." Colloquium Mathematicae 108.2 (2007): 263-276. <http://eudml.org/doc/283437>.
@article{DraguAtanasiu2007, abstract = {We introduce some spaces of generalized functions that are defined as generalized quotients and Boehmians. The spaces provide simple and natural frameworks for extensions of the Fourier transform.}, author = {Dragu Atanasiu, Piotr Mikusiński}, journal = {Colloquium Mathematicae}, keywords = {convolution quotients; Fourier transform}, language = {eng}, number = {2}, pages = {263-276}, title = {On the Fourier transform, Boehmians, and distributions}, url = {http://eudml.org/doc/283437}, volume = {108}, year = {2007}, }
TY - JOUR AU - Dragu Atanasiu AU - Piotr Mikusiński TI - On the Fourier transform, Boehmians, and distributions JO - Colloquium Mathematicae PY - 2007 VL - 108 IS - 2 SP - 263 EP - 276 AB - We introduce some spaces of generalized functions that are defined as generalized quotients and Boehmians. The spaces provide simple and natural frameworks for extensions of the Fourier transform. LA - eng KW - convolution quotients; Fourier transform UR - http://eudml.org/doc/283437 ER -