Journal of Spectral Theory

Scope & Guideline

Illuminating the Path of Mathematical Innovation

Introduction

Welcome to your portal for understanding Journal of Spectral Theory, 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
ISSN1664-039x
PublisherEUROPEAN MATHEMATICAL SOC-EMS
Support Open AccessYes
CountrySwitzerland
TypeJournal
Convergefrom 2011 to 2024
AbbreviationJ SPECTR THEOR / J. Spectr. Theory
Frequency4 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressPUBLISHING HOUSE GMBH INST MATHEMATIK TECHNISCHE UNIV BERLIN STRASSE 17, JUNI 136, BERLIN 10623, GERMANY

Aims and Scopes

The Journal of Spectral Theory primarily focuses on the mathematical analysis of spectral properties of operators, particularly in relation to differential equations and quantum mechanics. It aims to advance the understanding of spectral theory through rigorous mathematical frameworks and applications across various fields.
  1. Spectral Analysis of Operators:
    The journal emphasizes the study of spectral properties of various linear operators, including self-adjoint, non-self-adjoint, and differential operators. This includes the exploration of eigenvalues, eigenfunctions, and spectral measures.
  2. Inequalities and Functional Calculus:
    A significant area of focus involves the development and application of inequalities related to spectral theory, such as Hardy's inequalities and Lieb-Thirring inequalities, alongside functional calculus techniques for operators.
  3. Quantum Mechanics Applications:
    The journal often publishes papers that bridge spectral theory with quantum mechanics, exploring topics like quantum graphs, Dirac operators, and Schrödinger operators, highlighting their implications in physical systems.
  4. Mathematical Methods and Asymptotics:
    There is a consistent focus on asymptotic analysis, including spectral asymptotics and perturbation theory, which are crucial for understanding the behavior of eigenvalues in various limiting cases.
  5. Topology and Geometry in Spectral Theory:
    The interplay between spectral theory and geometric/topological aspects is a unique contribution, with studies on manifolds, graphs, and geometric properties influencing spectral characteristics.
The Journal of Spectral Theory has witnessed the emergence of several trending themes that reflect the current research landscape and interests of the mathematical community. These themes indicate a shift towards more complex and interdisciplinary approaches in spectral theory.
  1. Quantum Graphs and Topological Aspects:
    Recent publications show a growing interest in quantum graphs and their spectral properties, highlighting the importance of topology in understanding eigenvalue distributions and bound states in quantum systems.
  2. Asymptotic Analysis and Spectral Stability:
    There is an increasing emphasis on asymptotic methods and spectral stability, particularly in relation to perturbed operators and their implications for quantum systems, indicating a trend towards understanding long-term behaviors.
  3. Applications to Graphene and Advanced Materials:
    The exploration of spectral properties related to materials like twisted bilayer graphene demonstrates an emerging interdisciplinary trend, connecting mathematical theory with physical applications in condensed matter physics.
  4. Computational and Numerical Methods:
    A noticeable trend towards computational approaches in spectral analysis is evident, with researchers increasingly addressing numerical methods and algorithms for spectral problems, reflecting a broader trend in applied mathematics.
  5. Higher-Dimensional and Non-Self-Adjoint Operators:
    Research involving higher-dimensional operators and non-self-adjoint problems is on the rise, indicating a shift towards addressing more complex and realistic models in spectral theory.

Declining or Waning

While the Journal of Spectral Theory has a broad and evolving scope, certain themes have shown a decline in prominence in recent publications. The following areas appear to be waning, either due to shifts in focus towards more contemporary topics or a saturation of research output in those domains.
  1. Classical Spectral Theory:
    There has been a noticeable decrease in papers addressing classical spectral theory concepts without modern applications. As the field evolves, researchers are gravitating towards more complex interactions and applications rather than foundational aspects.
  2. Nonlinear Spectral Problems:
    Research on nonlinear spectral problems appears to be less frequent in recent issues. This may indicate a shift towards linear frameworks, which are more tractable and applicable in current mathematical and physical contexts.
  3. Lower-Dimensional Spectral Studies:
    Papers focusing solely on one-dimensional spectral problems or lower-dimensional cases have become less common, as the journal's direction increasingly favors multidimensional and complex systems.
  4. Purely Theoretical Constructs:
    There seems to be a reduction in purely theoretical constructs without direct applications or implications, as the journal emphasizes results that connect more closely with practical or computational aspects.

Similar Journals

ASYMPTOTIC ANALYSIS

Innovating Mathematical Understanding with Asymptotic Analysis
Publisher: IOS PRESSISSN: 0921-7134Frequency: 12 issues/year

ASYMPTOTIC ANALYSIS, published by IOS PRESS, is a leading international journal dedicated to the field of mathematics, specifically focusing on asymptotic methods and their applications across various mathematical disciplines. Established in 1988, this journal has established a strong reputation, achieving a Q1 category in 2023 within the miscellaneous mathematics category, indicating its significant impact and recognition in the academic community with a Scopus rank of 120 out of 399. With a commitment to advancing theoretical knowledge and fostering mathematical innovation, ASYMPTOTIC ANALYSIS serves as an essential resource for researchers, professionals, and students alike, facilitating the dissemination of groundbreaking findings and methodologies. Although the journal does not currently offer open access, it continuously strives to maintain high editorial standards and broaden the accessibility of its content. With its focus on critical aspects of mathematics, ASYMPTOTIC ANALYSIS will surely remain at the forefront of scholarly exchange, influencing future research directions and educational practices in the mathematical sciences.

Annals of Functional Analysis

Pioneering Collaborative Insights in Functional Analysis
Publisher: SPRINGER BASEL AGISSN: 2639-7390Frequency: 1 issue/year

Annals of Functional Analysis is a distinguished international peer-reviewed journal published by SPRINGER BASEL AG that focuses on the interdisciplinary study of functional analysis, encompassing areas such as algebra and number theory, analysis, and control and optimization. With its ISSN 2639-7390 and E-ISSN 2008-8752, the journal is recognized for its significant contributions to research, currently holding a Q2 ranking in its category as of 2023. Spanning from 2010 to 2024, the journal aims to foster innovation and facilitate collaboration among researchers, professionals, and students by offering open access to high-quality articles and studies that push the boundaries of functional analysis. Based in Iran, Annals of Functional Analysis stands out as an essential platform for advancing the knowledge and application of functional analysis in both theoretical and practical domains, making it an invaluable resource for those dedicated to the field.

St Petersburg Mathematical Journal

Illuminating the Path of Mathematical Innovation
Publisher: AMER MATHEMATICAL SOCISSN: 1061-0022Frequency: 6 issues/year

St Petersburg Mathematical Journal, published by the American Mathematical Society, is a distinguished platform that fosters research and discourse in the fields of mathematics, specifically focusing on Algebra and Number Theory, Analysis, and Applied Mathematics. With an ISSN of 1061-0022 and an E-ISSN of 1547-7371, this journal has been a reliable source of cutting-edge mathematical research since its inception in 2003 and continues to publish high-quality content through 2024. Although not open-access, it offers valuable insights and advances the mathematical community's understanding, as indicated by its respectable impact factor and Scopus rankings across various categories—landing in the Q3 quartile across three significant mathematical disciplines. Researchers, professionals, and students are encouraged to contribute and engage with this journal, as it remains a vital resource for promoting collaboration and discovery within the ever-evolving field of mathematics.

Pure and Applied Mathematics Quarterly

Exploring the Depths of Theoretical and Practical Mathematics
Publisher: INT PRESS BOSTON, INCISSN: 1558-8599Frequency: 5 issues/year

Pure and Applied Mathematics Quarterly is a prestigious journal published by INT PRESS BOSTON, INC, focusing on the diverse and evolving field of mathematics. Since its inception in 2007, this journal has grown significantly, currently holding a Q1 ranking in the Mathematics (Miscellaneous) category for 2023, positioning it among the leading publications in the discipline. With a commitment to publishing high-quality research, Pure and Applied Mathematics Quarterly fosters innovation and dialogue within the mathematical community by providing a platform for theoretical advancements and practical applications. The journal remains accessible to researchers and professionals through its ISSN 1558-8599 and E-ISSN 1558-8602, although it does not currently offer open access. As a vital resource for mathematicians, educators, and students, this journal endeavors to expand the frontiers of mathematical knowledge and contribute to the academic dialogue surrounding this fundamental science.

JOURNAL OF OPERATOR THEORY

Connecting Theory and Application in Mathematics
Publisher: THETA FOUNDATIONISSN: 0379-4024Frequency: 4 issues/year

JOURNAL OF OPERATOR THEORY is a distinguished periodical published by the THETA FOUNDATION based in Romania. With a specific focus on the realms of mathematics, particularly in the areas of operator theory and its applications in algebra and number theory, this journal plays a crucial role in disseminating high-quality research that advances theoretical understanding and practical applications. It is indexed with an impressive rank of #58 out of 119 in the Scopus Mathematics category, placing it within the 51st percentile nationally. The journal has evolved significantly since its establishment, with publications spanning from 1996 through 2024, and maintaining a reputable stature in the Q2 quartile for Algebra and Number Theory as of 2023. While it operates under a subscription model, the JOURNAL OF OPERATOR THEORY remains an essential resource for researchers, professionals, and students seeking to engage deeply with contemporary mathematical issues and promote advancements in the field. For those looking to explore innovative findings and methodological approaches, this journal is indispensable.

Milan Journal of Mathematics

Driving discoveries in diverse mathematical realms.
Publisher: SPRINGER BASEL AGISSN: 1424-9286Frequency: 2 issues/year

Milan Journal of Mathematics is a prestigious academic publication dedicated to advancing the field of mathematics, particularly in the miscellaneous areas of the discipline. Published by SPRINGER BASEL AG in Switzerland, this journal has established a strong impact in the academic community, noted for its Q1 ranking in Mathematics and achieving a commendable 80th percentile in the Scopus rankings. With an ISSN of 1424-9286 and E-ISSN 1424-9294, the journal serves as a crucial platform for researchers and scholars to disseminate their findings and engage with cutting-edge mathematical theories and applications. Although not an Open Access publication, it provides valuable insights and rigorous academic discourse for professionals, researchers, and students alike, fostering a rich environment for knowledge exchange and innovation in mathematics.

Concrete Operators

Connecting Scholars to Propel Mathematical Innovation
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.

MONATSHEFTE FUR MATHEMATIK

Illuminating the Path of Mathematical Advancement
Publisher: SPRINGER WIENISSN: 0026-9255Frequency: 12 issues/year

MONATSHEFTE FUR MATHEMATIK, published by Springer Wien, stands as a pivotal academic journal in the field of mathematics, with its esteemed history tracing back to 1890. With an ISSN of 0026-9255 and an E-ISSN of 1436-5081, this journal encompasses a rich array of topics and contributions within the realm of mathematical research, catering to both historical and contemporary discourse. Although not an open access journal, it maintains a Q2 rank in the mathematical category as per the 2023 assessment, illustrating its significant impact and relevance, as evidenced by its Scopus ranking of #160/399, placing it at the 59th percentile within the general mathematics category. Published in Austria, MONATSHEFTE FUR MATHEMATIK provides a platform for researchers, professionals, and students to explore innovative mathematical theories and applications through its various converged years of contributions, from 1890 to 2024. This journal is an essential resource for anyone invested in advancing their understanding of mathematical concepts and fostering scholarly dialogue in the field.

Banach Journal of Mathematical Analysis

Connecting Scholars through Innovative Mathematical Research
Publisher: SPRINGER BASEL AGISSN: 2662-2033Frequency: 1 issue/year

Welcome to the Banach Journal of Mathematical Analysis, a distinguished publication under the auspices of SPRINGER BASEL AG, dedicated to the field of mathematical analysis and its applications. With a strong reputation reflected in its Q2 ranking within both Algebra and Number Theory as well as Analysis categories for 2023, this journal serves as a pivotal resource for researchers and professionals striving to advance their understanding and contributions to the mathematical sciences. As an esteemed platform featuring innovative research from around the globe, the journal promotes open discourse among practitioners of various mathematical disciplines. Although currently not an open access journal, it enhances visibility through rich content, consistently ranked with notable Scopus metrics, including impressive standings in both algebraic structures and analytic methods. Join a vibrant community of scholars who are shaping the future of mathematics by exploring the latest insights and methodologies published within these pages.

COLLOQUIUM MATHEMATICUM

Pioneering research that shapes the future of mathematics.
Publisher: ARS POLONA-RUCHISSN: 0010-1354Frequency: 8 issues/year

COLLOQUIUM MATHEMATICUM, published by ARS POLONA-RUCH, serves as an essential platform for the dissemination of innovative research in the field of mathematics. With an ISSN of 0010-1354 and a dedicated E-ISSN of 1730-6302, this journal plays a crucial role in advancing mathematical knowledge and fostering collaboration within the academic community. Although it is categorized in the Q3 quartile for miscellaneous mathematics, its content consistently attracts a diverse readership, reflecting a wide array of mathematical disciplines. Spanning publication years from 2001 to 2009 and resuming from 2011 to the present, *COLLOQUIUM MATHEMATICUM* offers researchers, professionals, and students the unique opportunity to engage with groundbreaking concepts and methodologies. With its home base in Warsaw, Poland, this journal not only contributes to the regional mathematical landscape but also impacts the broader global community. While currently not adopting an open access model, the journal remains committed to quality research, evidenced by its Scopus ranking within the general mathematics category. Engage with *COLLOQUIUM MATHEMATICUM* to be at the forefront of mathematical exploration.