Publication Date:
2004
Citation:
Limits of integrals involving almost periodic functions / G. Molteni. - In: RESULTS IN MATHEMATICS. - ISSN 1422-6383. - 46:3-4(2004), pp. 361-366. [10.1007/BF03322888]
abstract:
"Let ${
m Sp}subset{Bbb R}^+$ be a discrete countable set, ${a_lambda}_{lambdain
m Sp}$ be a sequence in $l^1(
m Sp)$ and $f(x)coloneqsum_{lambdain
m Sp}a_lambdasin(lambda x)$. Then $f$ is an almost periodic odd function with ${lambdacolon±lambdain
m Sp}$ as spectrum. We give some conditions about the set $S$ so that $int^{+infty}_1f(x)sin(Rx){dxover x} o0$ whenever $R o+infty, Rin S$."
m Sp}subset{Bbb R}^+$ be a discrete countable set, ${a_lambda}_{lambdain
m Sp}$ be a sequence in $l^1(
m Sp)$ and $f(x)coloneqsum_{lambdain
m Sp}a_lambdasin(lambda x)$. Then $f$ is an almost periodic odd function with ${lambdacolon±lambdain
m Sp}$ as spectrum. We give some conditions about the set $S$ so that $int^{+infty}_1f(x)sin(Rx){dxover x} o0$ whenever $R o+infty, Rin S$."
IRIS type:
01 - Articolo su periodico
List of contributors:
G. Molteni
Link to information sheet: