Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
N-dimensional almost periodic functions II
PDF (Español (España))

Keywords

Almost periodic functions,
structure theorem
Radon transform
Funciones cuasi-periódicas
teorema de estructura
transformada de Radon

How to Cite

Arguedas, V., & Castro, E. (2003). N-dimensional almost periodic functions II. Revista De Matemática: Teoría Y Aplicaciones, 10(1-2), 199–205. https://doi.org/10.15517/rmta.v10i1-2.47783

Abstract

In this paper we continue the research begun in [CA-2]. Some new results are shown and proven, like the structure theorem for n-dimensional almost periodic functions by using the Bochner Transform. Also, the Haraux [Har] condition in the n-dimensional case, and some topological theorems similar to Bochner and Ascoli theorems. Furthermore, we answer a question formulated by Prof. Fischer [Fis], and we study an average theorem for integrals of almost periodic functions.

https://doi.org/10.15517/rmta.v10i1-2.47783
PDF (Español (España))

References

[Bo] Bohr, H. (1951) Almost Periodic Functions. Chelsea Publ. Co., New York.

[Be] Besicovitch, A.S. (1954) Almost Periodic Functions. Dover Publ. Inc., New York.

[Bl] Blot, J. (1996) “Variational methods for the almost periodic Lagrangian oscilations” Cahiers Eco et Maths CERMSEM 96, 44.

[Bo] Bochner, S. (1992) Collected Papers of Salomon Bochner, Part 2. American Mathematical Society, Providence RI.

[CA-1] Castro, E.; Arguedas,V. (1998) “Funciones *-periódicas”, in: VI Encuentro Centroamericano de Investigadores Matemáticos, Managua: 41–49.

[CA-2] Castro, E.; Arguedas,V. (2000) “Algunos aspectos teóricos de las funciones casi periódicas N -dimensionales”, Revista de Matemática: Teoría y Aplicaciones 7(1–2): 165–174.

[Co] Cooke, R. (1981) “Almost periodic functions”, American Mathematical Monthly 88(7): 515–525.

[Cor] Corduneanu, C. (1989) Almost Periodic Functions. Chelsea Publ. Co., New York.

[Fi] Fink, A.M. (1977) Almost Periodic Differential Equations. Lecture Notes in Mathematics 377, Springer-Verlag, New York.

[Fis] Fischer, A. (1996) “Structure of Fourier exponents of almost periodic functions and periodicity of almost periodic functions”, Mathematica Bohemica 3: 249–262.

[Har] Haraux, A.A. (1987) “A simple almost-periodicity criterion and applications”, Journal of Differential Equations 66: 51–61.

[Mu] Muntean, I. (1990) Analiza Functionala: Capitole Speciale. Universitatea Babes-Bolyai, Cluj-Napoca.

Comments

Downloads

Download data is not yet available.