JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Scope & Guideline

Innovating Solutions through Cutting-edge Fourier Research

Introduction

Welcome to your portal for understanding JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, featuring guidelines for its aims and scope. Our guidelines cover trending and emerging topics, identifying the forefront of research. Additionally, we track declining topics, offering insights into areas experiencing reduced scholarly attention. Key highlights include highly cited topics and recently published papers, curated within these guidelines to assist you in navigating influential academic dialogues.
LanguageEnglish
ISSN1069-5869
PublisherSPRINGER BIRKHAUSER
Support Open AccessNo
CountryUnited States
TypeJournal
Convergefrom 1994 to 2024
AbbreviationJ FOURIER ANAL APPL / J. Fourier Anal. Appl.
Frequency1 issue/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
Address233 SPRING STREET, 6TH FLOOR, NEW YORK, NY 10013

Aims and Scopes

The *Journal of Fourier Analysis and Applications* focuses on the mathematical theory and applications of Fourier analysis and related fields. It serves as a platform for researchers to publish significant advancements in the analysis of functions and signals through Fourier techniques, exploring both theoretical frameworks and practical applications.
  1. Fourier Analysis and Transform Techniques:
    The journal emphasizes the study of Fourier transforms, Fourier series, and related integral transforms, investigating their properties, applications, and implications in various mathematical contexts.
  2. Harmonic Analysis and its Applications:
    A core area of interest is harmonic analysis, which examines the representation of functions as the sum of basic waves, and its applications in signal processing, image analysis, and other fields.
  3. Operator Theory and Functional Analysis:
    The journal publishes research on operators in function spaces, including boundedness, compactness, and spectral theory, particularly in the context of Fourier analysis.
  4. Wavelet Theory and Applications:
    Research on wavelets and their applications in data compression, signal processing, and approximation theory is a significant focus, highlighting their versatility in analyzing various types of data.
  5. Non-standard Analysis and Generalized Functions:
    The journal explores non-standard techniques in analysis, including distributions, pseudo-differential operators, and their applications to solving complex problems in various mathematical fields.
The journal has experienced a notable evolution in its thematic focus, with several emerging trends reflecting contemporary research interests in Fourier analysis and its applications. These trends illustrate the journal's responsiveness to new challenges and advancements in related fields.
  1. Applications in Machine Learning and Data Science:
    Recent publications have increasingly explored the intersection of Fourier analysis with machine learning, particularly in areas such as signal recovery, feature extraction, and algorithmic efficiency.
  2. Nonlinear Analysis and PDEs:
    There is a growing body of work addressing nonlinear partial differential equations (PDEs) using Fourier methods, reflecting an increased interest in solving complex dynamical systems.
  3. Multiscale Analysis and Fractal Geometry:
    Emerging themes include the study of multiscale phenomena and fractal geometry, where Fourier analysis is applied to understand intricate structures and patterns in various contexts.
  4. Quantum and Stochastic Analysis:
    Research incorporating quantum mechanics and stochastic processes into Fourier analysis is on the rise, indicating a trend towards interdisciplinary applications and theoretical developments.
  5. Time-Frequency and Time-Scale Analysis:
    A notable increase in studies focusing on time-frequency analysis, including wavelet transforms and their applications, showcases the relevance of these methodologies in modern signal processing.

Declining or Waning

While the journal continues to thrive in many areas, certain themes have shown a decline in recent publications. These waning scopes indicate shifting interests within the academic community, possibly influenced by emerging methodologies and the evolution of research questions.
  1. Classical Functional Spaces:
    Research on traditional functional spaces, such as Sobolev and Hardy spaces, appears to be less frequent as newer frameworks and more complex spaces gain traction in the literature.
  2. Elementary Fourier Analysis:
    Basic topics in Fourier analysis, which once dominated the field, have seen reduced focus as researchers shift towards more sophisticated applications and advanced theoretical frameworks.
  3. Static Applications of Fourier Analysis:
    The journal has shown a decrease in papers focusing solely on static applications of Fourier analysis, with a growing emphasis on dynamic systems and time-frequency analysis.

Similar Journals

Methods of Functional Analysis and Topology

Connecting researchers and practitioners in the realms of mathematics.
Publisher: INST MATHEMATICSISSN: 1029-3531Frequency: 4 issues/year

Methods of Functional Analysis and Topology is a distinguished open-access journal published by INST MATHEMATICS, based in Ukraine. Fostering a scholarly environment since 2006, this journal serves as a vital platform for researchers and practitioners in the fields of functional analysis, topology, and mathematical physics. Despite its Q4 ranking in key categories such as Analysis, Geometry and Topology, and Mathematical Physics as of 2023, the journal addresses a growing need for accessible research and dialogue within these domains. With ISSN 1029-3531, it marks a commitment to advancing knowledge in mathematics, ensuring that innovative ideas and methodologies can reach a broader audience. As scholars continue to explore complex mathematical concepts, Methods of Functional Analysis and Topology stands as an integral resource, encouraging collaboration and understanding amidst the diverse landscapes of mathematics.

POTENTIAL ANALYSIS

Exploring the Depths of Mathematical Potential
Publisher: SPRINGERISSN: 0926-2601Frequency: 8 issues/year

POTENTIAL ANALYSIS is a prestigious academic journal dedicated to the field of mathematical analysis, published by Springer. With the ISSN 0926-2601 and E-ISSN 1572-929X, this journal serves as a pivotal platform for scholars to disseminate cutting-edge research and advancements in potential theory, providing insights that bridge theoretical mathematics and applied analysis. Since its inception in 1992, POTENTIAL ANALYSIS has consistently maintained a high impact factor, boasting a Q1 rating in the 2023 category of Analysis, signifying its influence and reputation among its peers. It ranks 76 out of 193 in the Mathematics Analysis category in Scopus, placing it within the 60th percentile, which attests to the journal's commitment to quality and rigorous peer-review processes. While access to its articles is not open, it remains an essential resource for researchers, professionals, and students aiming to expand their understanding of potential theory and its applications in various fields. The journal's ongoing publication until 2024 promises a continual flow of innovative research, underpinning its role as an invaluable asset in the mathematical community.

Concrete Operators

Advancing Mathematical Frontiers with Concrete Insights
Publisher: DE GRUYTER POLAND SP Z O OISSN: 2299-3282Frequency: 1 issue/year

Concrete Operators is an innovative academic journal published by DE GRUYTER POLAND SP Z O O, specializing in the fields of Analysis and Applied Mathematics. With an ISSN of 2299-3282, this open access journal has been dedicated to fostering scholarly communication since its inception in 2013. Concrete Operators aims to provide a platform for researchers, professionals, and students to explore and disseminate significant findings in mathematical analysis and its practical applications. Housed in Germany, with administrative offices located in Warsaw, Poland, the journal embraces a global audience. Notably, as of 2023, it holds a Q4 category ranking in the respective mathematical domains, reflecting its commitment to emerging research within the community. The journal's open access model enhances visibility and accessibility, encouraging collaboration and innovation among mathematicians. By bridging theoretical advances with practical implementations, Concrete Operators plays a vital role in the advancement of mathematical sciences.

Analysis Mathematica

Innovating research in mathematical analysis since 1975.
Publisher: SPRINGER INT PUBL AGISSN: 0133-3852Frequency: 4 issues/year

Analysis Mathematica is a distinguished academic journal dedicated to the field of mathematics, focusing specifically on the varied aspects of analysis. Published by Springer International Publishing AG and based in Hungary, this journal has been an essential platform for scholarly communication since its inception in 1975. With a broad scope that encompasses theoretical developments and applications in mathematical analysis, it serves as a conduit for innovative research and discourse among mathematicians and researchers alike. While it currently holds a Q3 ranking in both Analysis and Miscellaneous Mathematics categories as of 2023, contributing authors are encouraged to elevate its impact through substantial contributions. Although not currently an open-access journal, Analysis Mathematica remains accessible through various academic databases, making it an invaluable resource for professionals, students, and researchers striving for excellence in mathematical analysis.

ANNALES DE L INSTITUT FOURIER

Exploring the Depths of Number Theory and Topology
Publisher: ANNALES INST FOURIERISSN: 0373-0956Frequency: 6 issues/year

ANNALES DE L INSTITUT FOURIER is a premier academic journal published by ANNALES INST FOURIER, specializing in the fields of Algebra and Number Theory as well as Geometry and Topology. Since its establishment, the journal has garnered a distinguished reputation, evidenced by its Q1 quartile ranking in the 2023 category assessments and its Scopus Rank of #37 out of 119 in Algebra and Number Theory, and #34 out of 106 in Geometry and Topology, placing it within the top percentile of its field. The journal serves as a vital platform for disseminating groundbreaking research and innovative methodologies, catering to a global audience of researchers, professionals, and students. With a commitment to the advancement of mathematical sciences, ANNALES DE L INSTITUT FOURIER invites contributions that push the boundaries of knowledge and foster collaboration across disciplines. Although it does not offer open access, the rigorous peer-review process ensures that published papers meet the highest academic standards, making it a critical resource for anyone engaged in advanced mathematical research.

Problemy Analiza-Issues of Analysis

Advancing the Frontiers of Analysis and Applied Mathematics
Publisher: PETROZAVODSK STATE UNIVISSN: 2306-3424Frequency: 2 issues/year

Problemy Analiza-Issues of Analysis is a peer-reviewed, open-access journal published by Petrozavodsk State University, located in the heart of the Russian Federation. Since its inception in 2012, the journal has dedicated itself to advancing knowledge in the fields of Analysis and Applied Mathematics. With its commitment to high-quality research, it serves as a valuable platform for researchers, professionals, and students alike, facilitating the dissemination of innovative findings. Although currently positioned in the Q4 quartile of its categories, it has the potential for growth as it encompasses a diverse range of topics and methodologies. The journal's Scopus rankings reflect its emerging status, making it an excellent venue for those eager to contribute to important conversations in mathematics. By offering open access, it ensures that cutting-edge research is readily available to a global audience, fostering collaboration and academic growth. The journal’s address is located at Lenin Ave 33, Petrozavodsk 00000, Russia, where researchers can connect with the community.

Journal of Pseudo-Differential Operators and Applications

Connecting researchers through cutting-edge mathematical discourse.
Publisher: SPRINGER BASEL AGISSN: 1662-9981Frequency: 4 issues/year

The Journal of Pseudo-Differential Operators and Applications is a prestigious academic publication dedicated to advancing the theoretical and practical understanding of pseudo-differential operators and their applications in various fields, including mathematical analysis and applied mathematics. Published by SPRINGER BASEL AG in Switzerland, this journal holds a commendable Q2 ranking in both the Analysis and Applied Mathematics categories for 2023, indicating its significance in the academic community. Since its inception in 2010, it has continuously contributed to the dissemination of high-quality research and innovative methodologies, making it a vital resource for researchers, professionals, and students alike. The journal welcomes contributions that explore both the fundamental aspects and the applications of pseudo-differential operators, fostering interdisciplinary collaboration and knowledge exchange. By providing a platform for groundbreaking research, the Journal of Pseudo-Differential Operators and Applications plays a crucial role in shaping contemporary developments in mathematical sciences.

Revista de la Union Matematica Argentina

Connecting Ideas, Inspiring Excellence in Mathematics
Publisher: UNION MATEMATICA ARGENTINAISSN: 0041-6932Frequency: 2 issues/year

Revista de la Union Matematica Argentina is a distinguished open-access journal dedicated to the dissemination of innovative research in the field of mathematics. Published by Union Matematica Argentina, this journal fosters a collaborative environment for mathematicians from diverse subfields to share their findings and insights. With an ISSN of 0041-6932 and an E-ISSN of 1669-9637, it has been a valuable resource since its establishment, fully embracing open access since 2004. While currently positioned in the Q4 quartile of Scopus' rankings for Mathematics (miscellaneous) and holding the 314th rank in the general mathematics category, the journal serves as an important platform for researchers and professionals looking to contribute to or stay informed about the latest developments in mathematical sciences. Its editorial board is committed to rigorously peer-reviewed content, ensuring that published articles uphold high academic standards. With the aim of enhancing the visibility and accessibility of mathematical research in Argentina and beyond, the journal is essential for both established academics and emerging scholars within the global mathematical community.

Journal of Inequalities and Special Functions

Advancing Understanding Through Inequalities and Functions
Publisher: UNIV PRISHTINESISSN: 2217-4303Frequency:

Journal of Inequalities and Special Functions, published by UNIV PRISHTINES, is an emerging academic platform dedicated to the exploration and dissemination of research in the field of applied mathematics, particularly focusing on inequalities and special functions. Based in Serbia, this journal has become an important resource for researchers and practitioners alike since its inception in 2019, consolidating important findings through to 2024. With its current Scopus ranking placing it at #458 out of 635 in the applied mathematics category, the journal specifically caters to those seeking to enhance their understanding of mathematical theories and applications, despite its Q4 classification. The ISSN 2217-4303 ensures accessibility and recognition in scholarly circles. As an open-access publication, it aims to foster greater collaboration by providing valuable insights and advancements in mathematical research. Researchers, professionals, and students are encouraged to contribute innovative studies that further the field, thereby enhancing the journal's reputation and impact.

Analysis in Theory and Applications

Elevating Discourse in Theoretical and Applied Sciences
Publisher: GLOBAL SCIENCE PRESSISSN: 1672-4070Frequency: 4 issues/year

Analysis in Theory and Applications is a distinguished journal published by GLOBAL SCIENCE PRESS, focusing on the interdisciplinary fields of theoretical and applied analysis. Since its inception in 2004, this journal has aimed to advance knowledge through the dissemination of high-quality research articles, reviews, and technical notes that explore innovative methodologies and applications in analysis. Although the journal's coverage was discontinued in Scopus in 2011, it remains a valuable platform for researchers and practitioners looking to engage with emerging theories and practical applications in analysis. Researchers interested in contributing to the field can access various articles through traditional subscription options. The journal's commitment to rigorous peer-review and scholarly excellence makes it an essential resource for advancing the discourse in theoretical and applied sciences.