For use in next sections we shall discuss here how to compute some integrals. To this end we need generalizations of the theorems on integration of monotone sequences and on dominated convergence; the discrete parameter n in these theorems will be replaced by a continuous parameter ⋋. Let first µ, be a σ-finite measure in the (non-empty) point set X.
KeywordsFourier Series Fourier Coefficient Inverse Fourier Transform Continuous Derivative Approximate Identity
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