I am looking for a reference, where the conditions for the existence of the n-dimensional Laplace transform are proven, i.e. when the laplace transform

\begin{equation} F(\lambda_1, ..., \lambda_n) = \int_0^\infty dx_1 ... \int_0^\infty dx_n e^{- \sum_{i=1}^n \lambda_i x_i} f(x_1, ..., x_n) \end{equation} exists.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.