%0 Journal Article %1 boumenir1998inverselaplace %A Boumenir, A. %A Al-Shuaibi, A. %D 1998 %J J. Math. Anal. Appl. %K Laplace_inversion eigenvectors laplace_transform %N 1 %P 16--36 %R 10.1006/jmaa.1998.6083 %T The inverse Laplace transform and analytic pseudo-differential operators %U http://dx.doi.org/10.1006/jmaa.1998.6083 %V 228 %X By comparing the Laplace transform Image with the differential operator D, we obtain a formula for the inverse Laplace transform Image − 1 = (1/\pi)V − 1 cos(D)V , where V is a unitary transformation operator. This helps us obtain an explicit spectral representation of . Some applications of the above relation are discussed.

@article{boumenir1998inverselaplace, abstract = {By comparing the Laplace transform Image with the differential operator D, we obtain a formula for the inverse Laplace transform Image − 1 = (1/\pi)V − 1 cos(\pi D)V , where V is a unitary transformation operator. This helps us obtain an explicit spectral representation of . Some applications of the above relation are discussed.}, added-at = {2010-10-22T19:52:31.000+0200}, author = {Boumenir, A. and Al-Shuaibi, A.}, biburl = {https://www.bibsonomy.org/bibtex/24d21e01e55f9af7157c4dcef9b2291de/peter.ralph}, coden = {JMANAK}, description = {MR: Publications results for "MR Number=(1659932)"}, doi = {10.1006/jmaa.1998.6083}, fjournal = {Journal of Mathematical Analysis and Applications}, interhash = {298d2520b1ba6fb2f99b7e6789a43f62}, intrahash = {4d21e01e55f9af7157c4dcef9b2291de}, issn = {0022-247X}, journal = {J. Math. Anal. Appl.}, keywords = {Laplace_inversion eigenvectors laplace_transform}, mrclass = {44A10 (35S99 47G30)}, mrnumber = {1659932 (2000d:44001)}, mrreviewer = {Kh{\'e}lifa Trim{\`e}che}, number = 1, pages = {16--36}, timestamp = {2012-03-23T20:17:13.000+0100}, title = {The inverse {L}aplace transform and analytic pseudo-differential operators}, url = {http://dx.doi.org/10.1006/jmaa.1998.6083}, volume = 228, year = 1998 }