World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
39
Citations
6590
World Ranking
2200
National Ranking
930

Daniel Alpay publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Daniel Alpay sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 425 publications — 95th percentile

95% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Daniel Alpay D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Daniel Alpay sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 39 D-Index — 41st percentile

41% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Daniel Alpay is affiliated with Chapman University in the United States and specializes primarily in mathematics with a focus on applied mathematics and its related subfields. Their research spans a wide array of mathematical topics, including applied mathematics, mathematical physics, computational theory and mathematics, statistical and nonlinear physics, and geometry and topology.

Their main topics of work cover diverse areas such as algebraic and geometric analysis, mathematical analysis and transform methods, holomorphic and operator theory, matrix theory and algorithms, advanced topics in algebra, mathematical functions and polynomials, and various applications of mathematics.

Daniel Alpay has contributed to numerous publications and is frequently published in venues such as arXiv (Cornell University), Linear Algebra and its Applications, Virtual Community of Pathological Anatomy (University of Castilla La Mancha), Integral Equations and Operator Theory, and Opuscula Mathematica.

Selected recent papers include:

  • On the global operator and Fueter mapping theorem for slice polyanalytic functions, 2021, Virtual Community of Pathological Anatomy (University of Castilla La Mancha)
  • Operators induced by certain hypercomplex systems, 2023, Opuscula Mathematica
  • Correction to: On Slice Polyanalytic Functions of a Quaternionic Variable, 2021, Results in Mathematics
  • Short-time Fourier transform and superoscillations, 2024, Applied and Computational Harmonic Analysis
  • Infinite-order Differential Operators Acting on Entire Hyperholomorphic Functions, 2021, Virtual Community of Pathological Anatomy (University of Castilla La Mancha)

They have frequently collaborated with researchers such as Irene Sabadini, Fabrizio Colombo, Kamal Diki, Mihaela Vajiac, and Ilwoo Cho.

In terms of book publications, Daniel Alpay has works published by Springer Nature, Springer International Publishing, and Chapman mathematical notes. Notable titles include:

  • Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions (2024)
  • Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory (2020)
  • New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative (2021)
  • Quaternionic de Branges Spaces and Characteristic Operator Function (2020)
  • Exercises in Applied Mathematics (2024)

Best Publications

  • Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces

    D Alpay;Aad Dijksma;J Rovnyak;H deSnoo

  • Slice Hyperholomorphic Schur Analysis

    Daniel Alpay;Fabrizio Colombo;Irene Sabadini

  • On Applications of Reproducing Kernel Spaces to the Schur Algorithm and Rational J Unitary Factorization

    Daniel Alpay;Harry Dym

  • Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

    Daniel Alpay;Maria Elena Luna-Elizarrarás;Michael Shapiro;Daniele Carlo Struppa

  • The Schur Algorithm, Reproducing Kernel Spaces and System Theory

    Daniel Alpay

  • Unitary Rational Matrix Functions

    Daniel Alpay;Israel Gohberg

  • The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum

    Daniel Alpay;Fabrizio Colombo;David P. Kimsey

  • Reproducing Kernel Spaces and Applications

    Daniel Alpay;Fabrizio Colombo;Irene Sabadini

  • Hilbert spaces of analytic functions, inverse scattering and operator models.II

    Daniel Alpay;Harry Dym

  • Schur Functions and Their Realizations in the Slice Hyperholomorphic Setting

    Daniel Alpay;Fabrizio Colombo;Irene Sabadini

  • Lossless Inverse Scattering and Reproducing Kernels for Upper Triangular Operators

    Daniel Alpay;Patrick Dewilde;Harry Dym

  • Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions

    Daniel Alpay;Fabrizio Colombo;Irene Sabadini

  • On a New Class of Structured Reproducing Kernel Spaces

    Daniel Alpay;H. Dym

  • INTERPOLATION PROBLEMS, EXTENSIONS OF SYMMETRICAL OPERATORS AND REPRODUCING KERNEL SPACES II

    Daniel Alpay;A Dijksma;H de Snoo

  • Reproducing Kernel Quaternionic Pontryagin Spaces

    Daniel Alpay;Michael Shapiro

  • The Fock Space in the Slice Hyperholomorphic Setting

    Daniel Alpay;Fabrizio Colombo;Irene Sabadini;Guy Salomon

  • Krein–Langer Factorization and Related Topics in the Slice Hyperholomorphic Setting

    Daniel Alpay;Fabrizio Colombo;Irene Sabadini

  • Stochastic Processes Induced By Singular Operators

    Daniel Alpay;Palle E. T. Jorgensen

  • Some extremal problems linked with indentification from partial frequency data

    Daniel Alpay;Laurent Baratchart;Juliette Leblond

  • Algorithme de Schur, espaces à noyau reproduisant et théorie des systèmes

    Daniel Alpay

Frequent Co-Authors

Irene Sabadini
Irene Sabadini Polytechnic University of Milan
Israel Gohberg
Israel Gohberg Tel Aviv University
Palle E. T. Jorgensen
Palle E. T. Jorgensen University of Iowa
Daniele C. Struppa
Daniele C. Struppa Chapman University
Joseph A. Ball
Joseph A. Ball Virginia Tech
Tao Qian
Tao Qian Macau University of Science and Technology
Marinus A. Kaashoek
Marinus A. Kaashoek Vrije Universiteit Amsterdam
Philippe Loubaton
Philippe Loubaton Université Paris Cité
Simeon Reich
Simeon Reich Technion – Israel Institute of Technology

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