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Functional Analysis and its Applications
H-index 3

Functional Analysis and its Applications

0016-2663

Published by: Springer

https://www.springer.com/journal/10688

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 656 11 17 3

Additional Metrics

Number of Best Scientists*: 11
Documents by Best Scientists*: 17
Top 100 Ranked Scientists*: 1
SCIMAGO H-index: 30
SCIMAGO SJR: 0.374
Impact Factor: N/A

Overview

Top Research Topics at Functional Analysis and Its Applications?

The journal tackles a plethora of topics, such as Pure mathematics, Mathematical analysis, Algebra, Discrete mathematics and Combinatorics. Functional Analysis and Its Applications tackles issues in Pure mathematics, particularly in the topics of Operator theory and Invariant (mathematics). Operator theory research is the primary subject tackled in Functional Analysis and Its Applications with a focus on Fourier integral operator.

In addition to Mathematical analysis research, it aims to explore topics under Spectrum (functional analysis) and Mathematical physics. Topics like Representation of a Lie group and Lie conformal algebra are tackled as part of the discussions on Algebra. Functional Analysis and Its Applications explores topics in Representation of a Lie group which can be helpful for research in disciplines like Adjoint representation of a Lie algebra, Fundamental representation and Simple Lie group.

The main emphasis of it is the research on Adjoint representation of a Lie algebra, emphasizing the topic of Killing form. While Functional Analysis and Its Applications focused on Lie conformal algebra, it was also able to explore topics like Affine Lie algebra and Graded Lie algebra.

  • Pure mathematics (42.41%)
  • Mathematical analysis (28.99%)
  • Algebra (19.91%)

What are the most cited papers published in the journal?

  • A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I (739 citations)
  • Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II (727 citations)
  • What is a classical r-matrix? (638 citations)

Research areas of the most cited articles at Functional Analysis and Its Applications:

The journal papers facilitate discussions on Pure mathematics, Mathematical analysis, Algebra, Discrete mathematics and Mathematical physics. The journal articles link adjacent topics like Pure mathematics with Gravitational singularity. The journal papers explore issues in Mathematical analysis which can be linked to other research areas like Hamiltonian (quantum mechanics) and Nonlinear system.

What topics the last edition of the journal is best known for?

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

The previous edition focused in particular on these issues:

The journal explores disciplines such as Pure mathematics, Combinatorics, Contact model, Continuous function and Polynomial. While Pure mathematics is the focus of the journal, it also provided insights into the studies of Simple (abstract algebra), Order (group theory) and Torus. The Combinatorics works featured in Functional Analysis and Its Applications incorporate elements from Bernoulli's principle and Ergodicity.

The most cited articles from the last journal are:

  • Ergodicity and Totality of Partitions Associated with the RSK Correspondence (2 citations)
  • On Sharp Estimates of Even-Order Derivatives in Sobolev Spaces (1 citations)
  • On the Symmetrizations of $$ arepsilon$$-Isometries on Positive Cones of Continuous Function Spaces (0 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

The top authors publishing in Functional Analysis and Its Applications (based on the number of publications) are:

  • Igor Krichever (25 papers) absent at the last edition,
  • Anatoly Vershik (23 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Boris Feigin (21 papers) absent at the last edition,
  • Фейгин Борис Львович (20 papers) absent at the last edition,
  • Victor Matveevich Buchstaber (18 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Only papers with recognized affiliations are considered

The top affiliations publishing in Functional Analysis and Its Applications (based on the number of publications) are:

  • Moscow State University (127 papers) absent at the last edition,
  • Russian Academy of Sciences (100 papers) absent at the last edition,
  • Saint Petersburg State University (62 papers) absent at the last edition,
  • National Research University – Higher School of Economics (53 papers) absent at the last edition,
  • Independent University of Moscow (34 papers) absent at the last edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 100.00% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, nan% were posted by at least one author from the top 10 institutions publishing in the journal. Another nan% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included nan% of all publications and nan% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

  • Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
  • Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
  • Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
  • Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
  • Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.

Top Publications

  • Rational Hypergeometric Identities

    (2020)
    8 Citations
  • Pointwise Conditions for Membership of Functions in Weighted Sobolev Classes

    (2022)
    3 Citations
  • Combinatorial Encoding of Bernoulli Schemes and the Asymptotic Behavior of Young Tableaux

    A. M. Vershik;A. M. Vershik;A. M. Vershik

    (2020)
    3 Citations
  • Connes Integration Formula: A Constructive Approach

    (2023)
    2 Citations
  • Two Consequences of Davies’ Hardy Inequality

    R. L. Frank;R. L. Frank;S. Larson

    (2021)
    2 Citations
  • The Schur–Weyl Graph and Thoma’s Theorem

    (2021)
    2 Citations
  • Noncommutative Geometry of Random Surfaces

    (2024)
    2 Citations
  • On Approximation of Measures by Their Finite-Dimensional Images

    (2021)
    2 Citations
  • Ergodicity and Totality of Partitions Associated with the RSK Correspondence

    A. M. Vershik;A. M. Vershik;N. V. Tsilevich

    (2021)
    2 Citations
  • One-Dimensional Central Measures on Numberings of Ordered Sets

    (2022)
    2 Citations

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