Daniel Alpay

Applied Mathematics · 2002–2020

A researcher in the Science corpus: 18 papers; trusts 17 researchers and is trusted by 20 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 86 citations into it; #863 of 7,620 by trust here, #777 by citations
• Algebra and Number Theory — 39 citations into it; #2,278 of 2,864 by trust here, #1,227 by citations
• Mathematical Physics — 33 citations into it; #7,554 of 8,562 by trust here, #5,794 by citations
• Computational Theory and Mathematics — 30 citations into it; #2,125 of 12,182 by trust here, #3,339 by citations
• Geometry and Topology — 15 citations into it
• Finance — 11 citations into it; #8,879 of 10,518 by trust here, #7,575 by citations
• Statistical and Nonlinear Physics — 9 citations into it

Whom Daniel Alpay trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Fabrizio Colombo
2. Irene Sabadini
3. Joseph A. Ball
4. Daniele C. Struppa
5. W. Arveson
6. Graziano Gentili
7. Palle E. T. Jorgensen
8. Victor Vinnikov
9. Riccardo Ghiloni
10. Robert J. R. Elliott

Who trusts Daniel Alpay overall

1. Omar Abu Arqub
2. Fabrizio Colombo
3. Dmitry S. Kaliuzhnyi-Verbovetskyi
4. Irene Sabadini
5. M. Al‐Smadi
6. Palle E. T. Jorgensen
7. Nabil T. Shawagfeh
8. Daniele C. Struppa
9. Victor Vinnikov
10. Jim Agler

Papers from Daniel Alpay's perspective

Ordered by how strongly the researchers Daniel Alpay trusts endorse each paper. Same corpus, a different order for every researcher.

1. Interpolation and Commutant Lifting for Multipliers on Reproducing Kernel Hilbert Spaces
2. The Cauchy formula with s-monogenic kernel and a functional calculus for noncommuting operators
3. A Structure Formula for Slice Monogenic Functions and Some of its Consequences
4. Analysis of Dirac Systems and Computational Algebra
5. Continuous slice functional calculus in quaternionic Hilbert spaces
6. Slice monogenic functions
7. The Fueter mapping theorem in integral form and the ℱ‐functional calculus
8. The quaternionic evolution operator
9. Bicomplex Numbers and their Elementary Functions
10. Free Random Variables

Their papers

• Matrix-J-unitary Non-commutative Rational Formal Power Series (2004) — 69 citations
• Reproducing Kernel Spaces and Applications (2012) — 113 citations
• On the characteristics of a class of Gaussian processes within the white noise space setting (2009) — 33 citations
• Quaternionic de Branges Spaces and Characteristic Operator Function (2020) — 55 citations
• Slice Hyperholomorphic Schur Analysis (2016) — 159 citations
• The $H^\infty$ functional calculus based on the $S$-spectrum for quaternionic operators and for $n$-tuples of noncommuting operators (2015) — 48 citations
• Spectral Theory for Gaussian Processes: Reproducing Kernels, Boundaries, and L2-Wavelet Generators with Fractional Scales (2015) — 47 citations
• The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum (2014) — 123 citations
• The Spectral Theorem for Unitary Operators Based on the S-Spectrum (2014) — 52 citations
• The Fock Space in the Slice Hyperholomorphic Setting (2014) — 68 citations
• On Free Stochastic Processes and their Derivatives (2013) — 48 citations
• Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis (2013) — 176 citations
• A New Resolvent Equation for the $$S$$S-Functional Calculus (2013) — 52 citations
• Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions (2012) — 80 citations
• Schur Functions and Their Realizations in the Slice Hyperholomorphic Setting (2011) — 85 citations
• Stochastic Processes Induced by Singular Operators (2011) — 51 citations
• A class of Gaussian processes with fractional spectral measures (2010) — 58 citations
• Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem (2002) — 50 citations