By Willard Miller

initially released in 1977, this quantity is worried with the connection among symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate structures within which the equation admits ideas through separation of variables, and the houses of the unique features that come up during this demeanour. a few group-theoretic twists within the historic approach to separation of variables that may be used to supply a beginning for a lot of certain functionality conception are proven. particularly, it's proven explicitly that every one unique services that come up through separation of variables within the equations of mathematical physics may be studied utilizing team theory.

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