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Maximal Theorems for Some Orthogonal Series. I

✍ Scribed by John E. Gilbert

Book ID
125670106
Publisher
American Mathematical Society
Year
1969
Tongue
English
Weight
439 KB
Volume
145
Category
Article
ISSN
0002-9947

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A function f is considered in the form of its formal series expansion ∞ k=0 f k P k where (P k ) ∞ k=0 denotes a given system of orthogonal polynomials with respect to a measure on the real line. We prove that the denominators, numerators and residuals of their Frobenius-Padé approximation satisfy a