[Lecture Notes in Mathematics] Stochastic Mechanics and Stochastic Processes Volume 1325 || A solution of the integral equation $$\int_0^\infty {(\sin (\frac{\pi }{4} + \theta )e^{ - \theta y} + \sin (\frac{\pi }{4} - \theta )e^{\theta y} )\pi (x,y)dy = \surd 2 cosh \theta x}$$ in convolution form and a problem in diffusion theory

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