Feynman integral in QFT and white noise

We present a rigorous construction of the Feynman integral on the compactified Einstein Universe (EU) using white noise calculus. Presented construction of the functional averaging may also be thought of as a solution of the problem posed by Bogoliubov and Shirkov in Chap.VIII.43 of their book Introduction to the Theory of Quantized Fields’', Wiley 1980.