Codimension-p Paley–Wiener theorems
We obtain the generalized codimension-p Cauchy–Kovalevsky extension of the exponential function $e^{i\langle\underline{y},\underline{t}\rangle}$ in Rm=Rp⊕Rq, where p>1, $\underline{y},\underline{t}\in\mathbf{R}^{q}$, and prove the corresponding codimension-p Paley–Wiener theorems.