Defines Cesaro-adapted scales and formal symbols to prove and extend generalized Cesaro convergence theorems while deriving Fourier coefficients for a parameterized family of period-1 functions.
Stone,Introduction to generalised Césaro convergence I
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Remainder Cesaro summation incorporates geometric location of terms, is invariant under dilation and scaling, and yields a natural definition of the Gamma function whose properties emerge directly from the definition.
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Introduction to generalised Cesaro convergence III
Defines Cesaro-adapted scales and formal symbols to prove and extend generalized Cesaro convergence theorems while deriving Fourier coefficients for a parameterized family of period-1 functions.
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Introduction to generalised Cesaro convergence II
Remainder Cesaro summation incorporates geometric location of terms, is invariant under dilation and scaling, and yields a natural definition of the Gamma function whose properties emerge directly from the definition.