%0 Journal Article %1 mehta87 %A Mehta, M. L. %D 1987 %J Journal of Mathematical Physics %K dft eigenvalues fourier no.pdf %N 4 %P 781--785 %R http://dx.doi.org/10.1063/1.527619 %T Eigenvalues and Eigenvectors of the Finite Fourier Transform %V 28 %X The eigenvalues and eigenvectors of the n×n unitary matrix of finite Fourier transform whose j, k element is (1/(n)1/2)exp(2πi/n)j k, i=(−1)1/2, is determined. In doing so, a multitude of identities, some of which may be new, are encountered. A conjecture is advanced.

@article{mehta87, abstract = {The eigenvalues and eigenvectors of the n×n unitary matrix of finite Fourier transform whose j, k element is (1/(n)1/2)exp[(2πi/n)j k], i=(−1)1/2, is determined. In doing so, a multitude of identities, some of which may be new, are encountered. A conjecture is advanced.}, added-at = {2015-12-10T10:40:57.000+0100}, author = {Mehta, M. L.}, biburl = {https://www.bibsonomy.org/bibtex/22f6167349f534e5fdf432ef74a5b607b/ytyoun}, doi = {http://dx.doi.org/10.1063/1.527619}, eid = {781}, interhash = {1aa40d13012dd34cf36600da8b3a1b78}, intrahash = {2f6167349f534e5fdf432ef74a5b607b}, journal = {Journal of Mathematical Physics}, keywords = {dft eigenvalues fourier no.pdf}, number = 4, pages = {781--785}, timestamp = {2015-12-10T10:47:51.000+0100}, title = {Eigenvalues and Eigenvectors of the Finite {Fourier} Transform}, volume = 28, year = 1987 }