%0 Journal Article %1 bertero1985commuting %A Bertero, M. %A Grünbaum, F. A. %D 1985 %J Inverse Problems. An International Journal on the Theory and Practice of Inverse Problems, Inverse Methods and Computerized Inversion of Data %K Laplace_inversion laplace_transform %N 3 %P 181--192 %R 10.1088/0266-5611/1/3/004 %T Commuting differential operators for the finite Laplace transform %U http://dx.doi.org/10.1088/0266-5611/1/3/004 %V 1 %X The authors prove that the singular functions of the finite Laplace transformation are eigenfunctions of self-adjoint differential operators. Several applications of this result to the problem of Laplace transform inversion are indicated.

@article{bertero1985commuting, abstract = {The authors prove that the singular functions of the finite Laplace transformation are eigenfunctions of self-adjoint differential operators. Several applications of this result to the problem of Laplace transform inversion are indicated.}, added-at = {2010-10-20T20:47:33.000+0200}, author = {Bertero, M. and Gr{\"u}nbaum, F. A.}, biburl = {https://www.bibsonomy.org/bibtex/2cfdbdffa130746404dfd8c5ccc8e6432/peter.ralph}, coden = {INPEEY}, doi = {10.1088/0266-5611/1/3/004}, interhash = {96f767b5f924125e77702ff7de3170ac}, intrahash = {cfdbdffa130746404dfd8c5ccc8e6432}, issn = {0266-5611}, journal = {Inverse Problems. An International Journal on the Theory and Practice of Inverse Problems, Inverse Methods and Computerized Inversion of Data}, keywords = {Laplace_inversion laplace_transform}, mrclass = {44A10}, mrnumber = {810736 (87e:44001)}, mrreviewer = {R. F. Datko}, number = 3, pages = {181--192}, sjournal = {Inverse Problems}, timestamp = {2012-03-23T20:17:13.000+0100}, title = {Commuting differential operators for the finite {L}aplace transform}, url = {http://dx.doi.org/10.1088/0266-5611/1/3/004}, volume = 1, year = 1985 }