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APAM - ISSN 1869-6090 - © ISTE Ltd
Avancées en mathématiques pures et appliquées est une revue scientifique internationale de mathématiques créée par la Société des Mathématiques de Tunisie (SMT). Elle publie des articles en mathématiques pures et appliquées. En particulier, dans toutes les branches de l’analyse, l’analyse harmonique appliquée (aspects mathématiques du traitement du signal, méthodes d’analyse temps-fréquence, principes d’incertitude, théorie de l’échantillonnage), équations aux dérivées partielles, équations différentielles ordinaires, approximations et développements, physique mathématique, systèmes dynamiques, aspects mathématiques et numériques des problèmes inverses, statistiques, combinatoire et théorie des probabilités.
2023 Impact factor : 0.5
5 Years Impact Factor : 0.6
Cite Score : 0.7
MCQ : 0.4
Scimago Journal Rank : 0.285
Source Normalized Impact Per Paper : 0.381
h-index : 16
Référencement
Conseil scientifique
|
Saloua AOUADI
Hajer BAHOURI
Sami BARAKET
Heinrich BEGEHR
Leila BEN ABDELGHANI
Aline BONAMI
Youssef BOUDABBOUS
Jacques FARAUT
Léonard GALLARDO
Hichem HAJAIEJ
Noomen JARBOUI |
Elyès JOUINI
Toshiyuki KOBAYASHI
Yvon MADAY
Fethi MAHMOUDI
Mohamed MAJDOUB
Abdenacer MAKHLOUF
Habib MARZOUGUI
Sami MUSTAPHA
Mark PEIGNE
Vicentiu RADULESCU
Lionel SCHWARTZ
Hatem ZAAG |
Advances in Pure and Applied Mathematics is an international mathematics journal launched by the Tunisian Mathematical Society (SMT). It welcomes submissions from the entire field of pure and applied mathematics, including : all branches of analysis, applied harmonic analysis (mathematical aspects of signal processing, time-frequency analysis methods, uncertainty principles, sampling theory), partial differential equations, ordinary differential equations, approximations and expansion, mathematical physics, dynamic systems, mathematical and numerical aspects of inverse problems, statistics, probability theory.
2023 Impact factor : 0.5
5 Years Impact Factor : 0.6
Cite Score : 0.7
MCQ : 0.4
Scimago Journal Rank : 0.285
Source Normalized Impact Per Paper : 0.381
h-index : 16
Abstracting & Indexing
Scientific Board
|
Saloua AOUADI
Hajer BAHOURI
Sami BARAKET
Heinrich BEGEHR
Leila BEN ABDELGHANI
Aline BONAMI
Youssef BOUDABBOUS
Jacques FARAUT
Léonard GALLARDO
Hichem HAJAIEJ
Noomen JARBOUI |
Elyès JOUINI
Toshiyuki KOBAYASHI
Yvon MADAY
Fethi MAHMOUDI
Mohamed MAJDOUB
Abdenacer MAKHLOUF
Habib MARZOUGUI
Sami MUSTAPHA
Mark PEIGNE
Vicentiu RADULESCU
Lionel SCHWARTZ
Hatem ZAAG |
Volume 25- 16
Numéro 1 (Janvier 2025)Volume 24- 15
Numéro 1 (Janvier 2024)Volume 23- 14
Numéro 1 (Janvier 2023)Volume 22- 13
Numéro 1 (Janvier 2022)In this paper, we study frame properties of finite sums of frames from the Weyl-Heisenberg group. We give sufficient conditions for a finite sum of frames of the space $$$L^2(\mathbb{R})$$$ from the Weyl-Heisenberg group, with explicit frame bounds, to be a frame for $$$L^2(\mathbb{R})$$$. These conditions are given in terms of frame bounds and scalars involved in the finite sum of frames. We show that the sum of a frame from the Weyl-Heisenberg group and its dual frame always constitutes a frame. Further, we provide sufficient conditions for the sum of images of frames under bounded linear operators acting on $$$L^2(\mathbb{R})$$$ to be a frame. These are expressed in terms of the lower bounds of their Hilbert-adjoint operator. We also discuss finite sums of frames where the frames are perturbed by bounded sequences of scalars. As an application, we show that the frame bounds of sums of frames can increase the rate of approximation in the frame algorithm.
We develop topological partitions for m-to-1 local homeomorphisms on compact metric spaces—maps that arise naturally in non-invertible dynamical systems, such as expanding and covering maps. These partitions enable a symbolic representation of the dynamics via the zip shift, an extended bilateral shift in the non-invertible setting. Inspired by Smale’s horseshoe construction, this approach generalizes topological partitions to a broader class of systems and opens new directions for studying their topological and ergodic properties.
This paper investigates the Maxwell-Boltzmann system in the framework of a Bianchi type III space-time. We conduct a rigorous mathematical analysis of the system, emphasizing its structural properties, functional setting, and energy estimates. By employing a combination of the Faedo-Galerkin method and the standard iteration technique, we establish the local-in-time existence and uniqueness of a solution with good regularity. Our approach carefully integrates the geometric constraints imposed by the Bianchi type III background, ensuring a well-posed formulation of the problem. These results contribute to a broader study of the relativistic kinetic theory in anisotropic cosmological models.
This paper presents a necessary and sufficient condition for a topological vector group to be locally compact. We also introduce several sufficient conditions that ensure the local compactness of topological vector groups. Furthermore, we establish a sufficient condition for a topological vector group to be first countable.
Comité de rédaction
Rédacteur en chef
Ali BAKLOUTI
Université de Sfax
Tunisie
[email protected]
Editeur honorifique
Khalifa TRIMECHE
Université de Tunis El Manar
Tunisie
[email protected]
Rédacteurs en chef adjoint
Abderrazek KAROUI
Université de Carthage
Tunisie
[email protected]
Mohamed SIFI
Université de Tunis El Manar
Tunisie
[email protected]
Le comité directeur de APAM annonce avec grand regret le décès de notre collègue Maurice Pouzet, membre du comité de lecture du journal et exprime toutes les condoléances à sa famille et à la communauté mathématique internationale.
Pour contacter les éditeurs : [email protected]
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