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Complex Analysis and Operator Theory
H-index 9

Complex Analysis and Operator Theory

1661-8254

Published by: Springer

https://www.springer.com/journal/11785

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 331 34 47 8

Additional Metrics

Number of Best Scientists*: 42
Documents by Best Scientists*: 56
Top 100 Ranked Scientists*: 2
SCIMAGO H-index: 30
SCIMAGO SJR: 0.545
Impact Factor: N/A

Overview

Top Research Topics at Complex Analysis and Operator Theory?

The journal generally zeroes in on subjects such as Operator theory, Pure mathematics, Mathematical analysis, Combinatorics and Discrete mathematics. In Complex Analysis and Operator Theory, Type (model theory), Algebra, Hilbert space, Bounded function and Space (mathematics) are investigated in conjunction with one another to address concerns in Operator theory research. It explores research in Pure mathematics and the adjacent study of Bergman space.

The studies tackled, which mainly focus on Bergman space, apply to Bergman kernel as well. The study on Mathematical analysis presented in it intersects with the topics under Boundary (topology). The concepts on Combinatorics presented in Complex Analysis and Operator Theory can also apply to other research fields, including Order (ring theory), Banach space, Toeplitz matrix and Omega.

The in-depth study on Discrete mathematics also explores topics in the intersecting field of Invariant (mathematics).

  • Operator theory (85.24%)
  • Pure mathematics (40.24%)
  • Mathematical analysis (26.13%)

What are the most cited papers published in the journal?

  • Fundaments of Hermitean Clifford Analysis Part I: Complex Structure (99 citations)
  • Sturm-Liouville Operators with Singularities and Generalized Nevanlinna Functions (58 citations)
  • A New Look at Mourre’s Commutator Theory (56 citations)

Research areas of the most cited articles at Complex Analysis and Operator Theory:

The journal papers primarily focus on research topics in Operator theory, Mathematical analysis, Pure mathematics, Discrete mathematics and Hilbert space. While the most cited publications focused on Operator theory, they were also able to explore topics like Space (mathematics) and Analytic function, Algebra. The studies on Mathematical analysis discussed at the journal articles can also contribute to research in the domains of Boundary (topology) and Combinatorics.

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

  • Mathematical analysis
  • Algebra
  • Hilbert space

The previous edition focused in particular on these issues:

Complex Analysis and Operator Theory explores disciplines such as Operator theory, Pure mathematics, Combinatorics, Type (model theory) and Hilbert space. Topics in Operator theory explored in the journal were investigated in conjunction with research in Hardy space, Operator (physics), Boundary (topology), Bounded function and Space (mathematics). It addresses concerns in Pure mathematics which are intertwined with other disciplines, such as Spectrum (functional analysis) and Composition (combinatorics).

Function (mathematics), Lambda, Differential operator and Banach space are some topics wherein Combinatorics research discussed in Complex Analysis and Operator Theory have an impact. The presented Type (model theory) research focuses mostly on Dirichlet distribution and, on occasion, topics in Realization (systems). While work presented in Complex Analysis and Operator Theory provided substantial information on Hilbert space, it also covered topics in Kernel (algebra), Connection (algebraic framework), Algebra and Compact operator.

The most cited articles from the last journal are:

  • Multi-orbital frames through model spaces (6 citations)
  • A Survey of Some Norm Inequalities (5 citations)
  • Homogeneously Polyanalytic Kernels on the Unit Ball and the Siegel Domain (4 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 Complex Analysis and Operator Theory (based on the number of publications) are:

  • Ilwoo Cho (20 papers) published 1 paper at the last edition,
  • Franciscus Sommen (11 papers) absent at the last edition,
  • Juan Bory-Reyes (10 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Tao Qian (10 papers) absent at the last edition,
  • Amol Sasane (9 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 Complex Analysis and Operator Theory (based on the number of publications) are:

  • University of Aveiro (28 papers) published 2 papers at the last edition,
  • Ghent University (28 papers) published 2 papers at the last edition,
  • St. Ambrose University (21 papers) published 1 paper at the last edition,
  • University of Iowa (15 papers) absent at the last edition,
  • Leipzig University (14 papers) published 1 paper 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, 15.25% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 10.00% were posted by at least one author from the top 10 institutions publishing in the journal. Another 13.00% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 18.00% of all publications and 59.00% 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

  • Littlewood-Paley Characterizations of Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces

    Der-Chen Chang;Der-Chen Chang;Songbai Wang;Dachun Yang;Yangyang Zhang

    (2020)
    43 Citations
  • Initial Value Problem for the Pair Transition Coupled Nonlinear Schrödinger Equations via the Riemann–Hilbert Method

    Wei-Qi Peng;Shou-Fu Tian;Tian-Tian Zhang

    (2020)
    21 Citations
  • Hadamard–Bergman Convolution Operators

    Alexey Karapetyants;Stefan Samko

    (2020)
    19 Citations
  • Continuous g-Frames with $$C^{*}$$ C ∗ -Valued Bounds and Their P

    (2022)
    15 Citations
  • The Noncommutative Fractional Fourier Law in Bounded and Unbounded Domains

    Fabrizio Colombo;Denis Deniz González;Stefano Pinton

    (2021)
    13 Citations
  • The Commutant of Some Shift Operators

    Ali Abkar;Guangfu Cao;Kehe Zhu;Kehe Zhu

    (2020)
    10 Citations
  • The $$\mathcal {F}$$ F -Resolvent Equation and Riesz Projectors for the $$\mathcal {F}$$

    (2021)
    9 Citations
  • A Survey of Some Norm Inequalities

    Fritz Gesztesy;Roger Nichols;Jonathan Stanfill

    (2021)
    9 Citations
  • Nearly Invariant Subspaces for Operators in Hilbert Spaces

    Yuxia Liang;Jonathan R. Partington

    (2021)
    8 Citations
  • Three-Representation Problem in Banach Spaces

    P. Kuchment

    (2021)
    6 Citations

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