scholarly journals On the absolute convergence of a Fourier-Hermite expansion of nonlinear functionals

1954 ◽  
Vol 5 (1) ◽  
pp. 85-85 ◽  
Author(s):  
Margaret Owchar ◽  
Arnold J. Tingley
Keyword(s):  
Absolute Convergence ◽  
Hermite Expansion ◽  
Nonlinear Functionals ◽  
The Absolute

scholarly journals Continued Fractions with Absolutely Convergent Even or Odd Part

1959 ◽  
Vol 11 ◽  
pp. 131-140 ◽  
Author(s):  
David F. Dawson
Keyword(s):  
Continued Fractions ◽  
Continued Fraction ◽  
Absolute Convergence ◽  
The Absolute

The purpose of this paper is to give conditions under which the absolute convergence of the subsequence of odd or of even approximants to a continued fraction implies convergence of the continued fraction. In § 2 we consider the problem in general, and in § 3 we impose a condition which gives absolute convergence of the odd or of the even part of the continued fraction and state conditions which imply convergence of the continued fraction.

The absolute convergence of lacunary series

1969 ◽  
Vol 5 (2) ◽  
pp. 125-131
Author(s):  
V. F. Emel'yanov
Keyword(s):  
Absolute Convergence ◽  
Lacunary Series ◽  
The Absolute
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