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2. Positive integrable harmonic functions. In [1 ] the Poisson integral representation of functions positive and harmonic in a strip was obtained. If such functions are also integrable over the whole doublyinfinite lines of the strip they also have a simple Fourier integral representation, which we now obtain. We use H and L to denote the classes of harmonic and integrable (on the whole x-axis) functions,

Fourier cosine transforms whose real parts are non-negative in a strip