Abstract
The new Fourier-like integral transforms
Pi(kappa) = kappa integral(infinity)(-infinity) Pi(t)e(-iota kappa t), Pi(lambda) = 1/lambda integral(infinity)(-infinity)Pi(t)e(-iota lambda t) dt
Pi(gamma) = 1/gamma integral(infinity)(-infinity) Pi(t)e(-iota t/gamma)dt, Pi(zeta) = zeta integral(infinity)(-infinity) Pi(t)e(-it/zeta) dt
are addressed for the first time. They are used to handle a steady heat transfer equation. The proposed methods are efficient and accurate.