ACTA issues

Poisson summation for functions of bounded variation on $\mathbb R^d$

E. Liflyand, U. Stadtm├╝ller

Acta Sci. Math. (Szeged) 80:3-4(2014), 491-498

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.)