Journal of Spectral Theory

Scope & Guideline

Transforming Insights into Spectral Applications

Introduction

Welcome to the Journal of Spectral Theory information hub, where our guidelines provide a wealth of knowledge about the journal’s focus and academic contributions. This page includes an extensive look at the aims and scope of Journal of Spectral Theory, highlighting trending and emerging areas of study. We also examine declining topics to offer insight into academic interest shifts. Our curated list of highly cited topics and recent publications is part of our effort to guide scholars, using these guidelines to stay ahead in their research endeavors.
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

REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES

Advancing Mathematical Insights Since 1974
Publisher: EDITURA ACAD ROMANEISSN: 0035-3965Frequency: 4 issues/year

REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, published by EDITURA ACAD ROMANE, is a significant scholarly journal in the field of mathematics, with a focus on both pure and applied aspects. Established in 1974 and running continuously, it has become a vital platform for researchers in Romania and worldwide. The journal operates under the ISSN 0035-3965 and E-ISSN 2343-774X, contributing to the academic resources available in mathematics and related disciplines. With a current classification as Q4 in both applied and miscellaneous mathematics, it provides a unique opportunity for scholars to disseminate their findings and engage with the broader mathematical community. Although the journal currently does not offer open access, it continues to maintain its presence and relevance within the Scopus rankings, underscoring its important role in academic discourse. Researchers, professionals, and students alike will find valuable insights and developments in the pages of REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, which is committed to advancing the understanding of mathematical theories and applications in various fields.

Note di Matematica

Bridging gaps in mathematical knowledge globally.
Publisher: ARACNE EDITRICEISSN: 1123-2536Frequency: 2 issues/year

Note di Matematica, published by ARACNE EDITRICE, is an esteemed open access journal dedicated to advancing the field of mathematics since 1981. Operating out of Italy, this journal focuses on various aspects of mathematics, providing a platform for researchers, professionals, and students to share innovative ideas and fundamentals in the realm of mathematical studies. With an ISSN of 1123-2536 and an E-ISSN of 1590-0932, Note di Matematica promotes scholarly communication within the mathematics community. Although its recent Category Quartiles data places it in Q4 for Mathematics (miscellaneous), the journal continues to contribute significantly to the dissemination of mathematical knowledge across diverse topics. Researchers and academics benefit from the journal's open access model, which ensures that valuable insights and findings are readily available to a global audience. By fostering collaboration and dialogue, Note di Matematica plays a vital role in the advancement of mathematics, making it a notable platform for all who wish to engage deeply with this essential field.

PROBABILITY THEORY AND RELATED FIELDS

Unraveling the Complexities of Uncertainty
Publisher: SPRINGER HEIDELBERGISSN: 0178-8051Frequency: 6 issues/year

PROBABILITY THEORY AND RELATED FIELDS is a premier journal published by SPRINGER HEIDELBERG, dedicated to advancing the field of probability and its applications. With an ISSN of 0178-8051 and an E-ISSN of 1432-2064, this journal has established itself as a leading platform for innovative research, featuring significant contributions to the theories and methodologies in probability, statistics, and uncertainty analysis. Its impressive ranking in the 2023 category quartiles places it in the Q1 tier within Analysis, Statistics and Probability, highlighting its importance in the academic community. The journal is widely recognized for its rigorous peer-review process, ensuring high-quality publications that cater to researchers, professionals, and students alike. Located in Germany at TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, it continues to shape the future of statistical sciences from 1986 until 2024 and beyond. Researchers in the field are encouraged to contribute their findings, ensuring the journal remains at the forefront of innovative statistical research.

MATHEMATICAL INEQUALITIES & APPLICATIONS

Fostering Excellence in Mathematical Research since 1998
Publisher: ELEMENTISSN: 1331-4343Frequency: 4 issues/year

MATHEMATICAL INEQUALITIES & APPLICATIONS, published by ELEMENT, is a prestigious journal that focuses on the field of applied mathematics, particularly emphasizing the theory and applications of mathematical inequalities. With an ISSN of 1331-4343 and a robust publication history since its inception in 1998, the journal has garnered a solid reputation within the academic community. As evidenced by its Q2 ranking in both applied mathematics and miscellaneous mathematics categories for 2023, it reflects its commitment to high-quality research output. The journal's Scopus rankings place it in the top 76th percentile for general mathematics and 53rd percentile for applied mathematics, indicating its influential role in advancing mathematical research. While the journal does not offer open access options, it remains a vital resource for researchers, professionals, and students alike, providing an essential platform for disseminating innovative ideas and methodologies in the realm of mathematical inequalities. Based in Croatia, at R AUSTRIJE 11, 10000 ZAGREB, the journal continues to contribute to the global discourse in mathematics through its rigorous peer-review process and dedication to presenting impactful research findings.

St Petersburg Mathematical Journal

Fostering Collaboration in the World of Mathematics
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.

Milan Journal of Mathematics

Connecting scholars to the pulse of mathematics.
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.

Advances in Operator Theory

Catalyzing Scholarly Exchange in Operator Theory
Publisher: SPRINGER BASEL AGISSN: 2662-2009Frequency: 1 issue/year

Advances in Operator Theory is a premier journal dedicated to the exploration of innovative and foundational research within the disciplines of Algebra and Number Theory, as well as Analysis. Published by SPRINGER BASEL AG, this journal provides a vital platform for the dissemination of high-quality research and theoretical advancements in the realm of operator theory. With a commendable impact factor and categorized in the Q3 quartile for both Algebra and Number Theory and Analysis in 2023, it holds significant standing in the Scopus rankings, substantiating its relevance in the mathematical community. The journal encourages open discussions and lively exchange of ideas among researchers, professionals, and students alike, fostering an environment conducive to scholarly growth and collaboration. Based in Iran at PICASSOPLATZ 4, BASEL 4052, SWITZERLAND, it has been actively publishing since 2016, making substantial contributions to its field through rigorous peer-reviewed articles. As an essential resource for anyone invested in the forefront of mathematical research, Advances in Operator Theory continues to illuminate complex topics and inspire future inquiries.

POTENTIAL ANALYSIS

Elevating Understanding in Potential Theory
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.

Rendiconti del Circolo Matematico di Palermo

Fostering Scholarly Dialogue Across Mathematical Disciplines.
Publisher: SPRINGER-VERLAG ITALIA SRLISSN: 0009-725XFrequency: 8 issues/year

Rendiconti del Circolo Matematico di Palermo, published by SPRINGER-VERLAG ITALIA SRL, is a revered journal in the field of mathematics, emphasizing the cultivation and dissemination of mathematical knowledge since its inception in 1887. With its ISSN 0009-725X and E-ISSN 1973-4409, this esteemed publication has continued to thrive, showcasing innovative research, comprehensive reviews, and thoughtful discussions from diverse areas in mathematics, particularly in its Q2 ranking within the miscellaneous mathematics category. Its historical significance is underscored by its convergence of publications across numerous years, including its notable periods from 1887 to 1916, 1919 to 1938, and beyond, effectively capturing the evolution of mathematical thought. Though not open access, the journal remains an essential resource for researchers, professionals, and students aiming to stay updated with the latest advancements and methodologies in the ever-evolving landscape of mathematics. With its Scopus rank placing it in the top 25th percentile, Rendiconti del Circolo Matematico di Palermo continues to be a cornerstone for scholarly dialogue and development in its domain.

Annals of Functional Analysis

Advancing the Frontiers of 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.