Presenting a comprehensive theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials, this volume also gives cases of orthogonality over a region and on a contour. The text includes the classification of differential equations which admits orthogonal polynomials as eigenfunctions and several two-dimensional analogies of classical orthogonal polynomials.
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P.K. Suetin Technical University of Communication and Informatics, Moscow, Russia. Translated from the Russian by E.V. Pankratiev
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