Abelian Theorem
المؤلف:
Hardy, G. H
المصدر:
Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, 3rd ed. New York: Chelsea
الجزء والصفحة:
p. 46
13-3-2019
1597
Abelian Theorem
A theorem which asserts that if a sequence or function behaves regularly, then some average of it behaves regularly. For example,
implies
for any 
. The converse is false, but can be made into a correct Tauberian theorem if 
is subjected to an appropriate additional condition (Hardy 1999, p. 46).
REFERENCES:
Hardy, G. H. Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, 3rd ed. New York: Chelsea, p. 46, 1999.
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