Laplace Series

Some articles on laplace series, series:

Walter Rudin - Publications - Uniqueness Theory For Laplace Series - Statement of Main Results
... Theorem I Given a series of spherical surface harmonics, let Z be a closed set of capacity zero on S and suppose (i) the given series is of class K (ii) and are finite on S-Z where is the continuous ... Theorem II Given a series of spherical surface harmonics, having and upper and lower Poisson sums, respectively, and let Z be a closed set of capacity zero ... Suppose (i) the given series is of class K (ii) and are finite on S-Z (iii) there exists a function defined on S, on S, such that for P on S Then the given series is Poisson summable almost everywhere on S and is the ...

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