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We introduce the notion of almost-distribution cosine functions in a setting similar to that of distribution semigroups defined by Lions. We prove general results on equivalence between almost-distribution cosine functions and α-times integrated cosine functions.
Pedro J. Miana. "Almost-distribution cosine functions and integrated cosine functions." Studia Mathematica 166.2 (2005): 171-180. <http://eudml.org/doc/285054>.
@article{PedroJ2005, abstract = {We introduce the notion of almost-distribution cosine functions in a setting similar to that of distribution semigroups defined by Lions. We prove general results on equivalence between almost-distribution cosine functions and α-times integrated cosine functions.}, author = {Pedro J. Miana}, journal = {Studia Mathematica}, keywords = {integrated cosine function; cosine transform; fractional calculus; cosine convolution product}, language = {eng}, number = {2}, pages = {171-180}, title = {Almost-distribution cosine functions and integrated cosine functions}, url = {http://eudml.org/doc/285054}, volume = {166}, year = {2005}, }
TY - JOUR AU - Pedro J. Miana TI - Almost-distribution cosine functions and integrated cosine functions JO - Studia Mathematica PY - 2005 VL - 166 IS - 2 SP - 171 EP - 180 AB - We introduce the notion of almost-distribution cosine functions in a setting similar to that of distribution semigroups defined by Lions. We prove general results on equivalence between almost-distribution cosine functions and α-times integrated cosine functions. LA - eng KW - integrated cosine function; cosine transform; fractional calculus; cosine convolution product UR - http://eudml.org/doc/285054 ER -