Multidimensional laplace transforms over Cayley-Dickson algebras and their applications
2010jjz | Ludkovsky S.V.   // Moscow State Technical University MIREA, Moscow, Russia, sludkowski@mail.ru

Multidimensional noncommutative Laplace transforms over octonions are studied. Theorems about direct and inverse transforms and other properties of the Laplace transforms over the Cayley-Dickson algebras are proved. Applications to partial differential equations including that of elliptic, parabolic and hyperbolic type are investigated. Moreover, partial differential equations of higher order with real and complex coefficients and with variable coefficients with or without boundary conditions are considered.

English:		Russian: