On the almost periodic functions in the sense of Levitan

Adrian Michałowicz; Stanisław Stoiński

Commentationes Mathematicae (2007)

  • Volume: 47, Issue: 2
  • ISSN: 2080-1211

Abstract

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In this note we present some theorems on the superposition of an ( N V p ) -almost periodic (a.p. for short) function, a μ -a.p. function and an ( N μ ) -a.p. function. Moreover, we prove a theorem on the bounded primary function of an ( N S p ) -a.p. function. Finally, we prove that the inverse of a V p -a.p. function is ( N V p ) -a.p.

How to cite

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Adrian Michałowicz, and Stanisław Stoiński. "On the almost periodic functions in the sense of Levitan." Commentationes Mathematicae 47.2 (2007): null. <http://eudml.org/doc/291395>.

@article{AdrianMichałowicz2007,
abstract = {In this note we present some theorems on the superposition of an $(NV_p)$-almost periodic (a.p. for short) function, a $\mu $-a.p. function and an $(N\mu )$-a.p. function. Moreover, we prove a theorem on the bounded primary function of an $(NS_p)$-a.p. function. Finally, we prove that the inverse of a $V_p$-a.p. function is $(NV_p)$-a.p.},
author = {Adrian Michałowicz, Stanisław Stoiński},
journal = {Commentationes Mathematicae},
keywords = {almost periodic function; superposition; primary function; Lebesgue measure},
language = {eng},
number = {2},
pages = {null},
title = {On the almost periodic functions in the sense of Levitan},
url = {http://eudml.org/doc/291395},
volume = {47},
year = {2007},
}

TY - JOUR
AU - Adrian Michałowicz
AU - Stanisław Stoiński
TI - On the almost periodic functions in the sense of Levitan
JO - Commentationes Mathematicae
PY - 2007
VL - 47
IS - 2
SP - null
AB - In this note we present some theorems on the superposition of an $(NV_p)$-almost periodic (a.p. for short) function, a $\mu $-a.p. function and an $(N\mu )$-a.p. function. Moreover, we prove a theorem on the bounded primary function of an $(NS_p)$-a.p. function. Finally, we prove that the inverse of a $V_p$-a.p. function is $(NV_p)$-a.p.
LA - eng
KW - almost periodic function; superposition; primary function; Lebesgue measure
UR - http://eudml.org/doc/291395
ER -

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