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Abstract. A one-dimensional version of the Poisson summation formula for functions of bounded variation due to R.M. Trigub is extended to the multivariate case under minimal assumptions on functions.
DOI: 10.14232/actasm-013-518-5
AMS Subject Classification
(1991): 42B10, 42B05, 42B35, 26B30
Keyword(s):
Fourier integral,
trigonometric series,
bounded variation
Received March 5, 2013, and in revised form October 5, 2013. (Registered under 18/2013.)
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