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Symmetry
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Symmetry in Mathematical Analysis and Applications, 2nd Edition
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Symmetry in Mathematical Analysis and Applications, 2nd Edition

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: 30 November 2026 | Viewed by 2537

Special Issue Editor

Prof. Dr. Luigi Rodino

E-Mail Website
Guest Editor
Department of Mathematics, University of Torino, 10124 Torino, TO, Italy
Interests: partial differential equations; Fourier analysis; operator theory
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Mathematics servant of Sciences, Mathematics queen of Sciences. This is the rough translation of a statement in Latin describing the role of mathematics in the scientific community. At the core of mathematics, mathematical analysis in the past centuries has provided applications in different disciplines, essential to reach modern knowledge, in both practical and theoretical aspects. In addition to applications, mathematics possesses a wonderful beauty: Fundamental formulas present deep links in symmetry, going beyond technical expressions.

The Special Issue of Symmetry will feature articles on mathematical analysis, its applications, and related computations. These include differential equations, integral equations, functional, Harmonic, Fourier and spectral analysis, function theory, stochastic analysis, and other subjects. Applications are not limited to physics, but may concern all the sciences. Preference will be given to results emphasizing deep relations and symmetries, in theoretical and applicative settings.

Prof. Dr. Luigi Rodino
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • differential equations
  • functional analysis
  • mathematical models
  • computational analysis
  • applications of mathematical analysis

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Further information on MDPI's Special Issue policies can be found here.

Published Papers (3 papers)

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Research

17 pages, 2065 KB  
Article
Design Method of Small Recreational Vehicle’s Interior Space Based on User Behavior Data Analysis
by Qing Niu, Shujie Cheng and Zeyang Qiu
Symmetry 2025, 17(12), 2096; https://doi.org/10.3390/sym17122096 - 6 Dec 2025
Cited by 1 | Viewed by 593
Abstract
With the growing popularity of leisure travel, small recreational vehicles have gained significant attention for their flexibility and cost-effectiveness. A crucial aspect of recreational vehicle design is the interior space, which heavily influences the users’ satisfaction. This paper introduces a novel approach to [...] Read more.
With the growing popularity of leisure travel, small recreational vehicles have gained significant attention for their flexibility and cost-effectiveness. A crucial aspect of recreational vehicle design is the interior space, which heavily influences the users’ satisfaction. This paper introduces a novel approach to designing recreational vehicles’ interior space based on users’ behavior data analysis. Firstly, drawing on the properties of the correlation coefficient in statistics, the correlation degree between different functional facilities is defined according to the usage time interval to establish the correlation degree matrix; then, the correlation degree matrix is proved to be a real symmetric positive definite matrix; finally, based on the correlation degree matrix, the factor analysis method is adopted for grouping all the functional facilities to maximize the correlation degrees between functional facilities in the same group and minimize the ones between different groups so as to better satisfy the users’ needs for convenience. A case study using the CCHW–Weiman recreational vehicle demonstrates the effectiveness of this method. Male passengers’ average movement distances during typical activities—washing, cooking, and sleeping—decreased by 17.18%, 36.34%, and 30.68%, respectively, while female passengers’ average movement distances decreased by 13.75%, 37.70%, and 18.82%, respectively. The results suggest that the proposed method offers a data-driven, user-centered approach to improving the interior space of recreational vehicles. Full article
(This article belongs to the Special Issue Symmetry in Mathematical Analysis and Applications, 2nd Edition)
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17 pages, 325 KB  
Article
Descriptions of Spectra of Algebras of Bounded-Type Block-Symmetric Analytic Functions
by Viktoriia Kravtsiv and Andriy Zagorodnyuk
Symmetry 2025, 17(11), 1974; https://doi.org/10.3390/sym17111974 - 15 Nov 2025
Cited by 1 | Viewed by 492
Abstract
This paper is devoted to the study of the algebra of bounded-type block-symmetric analytic functions on the Banach space l1(Cs). In particular, it presents a description of the spectrum of this algebra in terms of exceptional characters [...] Read more.
This paper is devoted to the study of the algebra of bounded-type block-symmetric analytic functions on the Banach space l1(Cs). In particular, it presents a description of the spectrum of this algebra in terms of exceptional characters ϕα and characters that can be associated with exponential-type functions of several variables with plane zeros. Due to this representation, it is proven that every element of the spectrum is a convolution of an exceptional character with a point evaluation functional. Full article
(This article belongs to the Special Issue Symmetry in Mathematical Analysis and Applications, 2nd Edition)
13 pages, 762 KB  
Article
Starlike Functions with Respect to (ℓ, κ)-Symmetric Points Associated with the Vertical Domain
by Daniel Breaz, Kadhavoor R. Karthikeyan and Dharmaraj Mohankumar
Symmetry 2025, 17(6), 933; https://doi.org/10.3390/sym17060933 - 12 Jun 2025
Viewed by 853
Abstract
The study of various subclasses of univalent functions involving the solutions to various differential equations is not totally new, but studies of analytic functions with respect to (ℓ,κ)-symmetric points are rarely conducted. Here, using a differential operator which [...] Read more.
The study of various subclasses of univalent functions involving the solutions to various differential equations is not totally new, but studies of analytic functions with respect to (ℓ,κ)-symmetric points are rarely conducted. Here, using a differential operator which was defined using the Hadamard product of Mittag–Leffler function and general analytic function, we introduce a new class of starlike functions with respect to (ℓ,κ)-symmetric points associated with the vertical domain. To define the function class, we use a Carathéodory function which was recently introduced to study the impact of various conic regions on the vertical domain. We obtain several results concerned with integral representations and coefficient inequalities for functions belonging to this class. The results obtained by us here not only unify the recent studies associated with the vertical domain but also provide essential improvements of the corresponding results. Full article
(This article belongs to the Special Issue Symmetry in Mathematical Analysis and Applications, 2nd Edition)
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