Daniel Alpay

Identifiers

• name variant Daniel Alpay 0.60 · backfill

Papers (70)

1. Brownian motion: the hyperbolic number setting math.PR · 2026 · author #1
2. Magnetic Dirichlet Laplacian on deformed waveguides math.SP · 2026 · author #1
3. A general setting for functions of Fueter variables: differentiability, rational functions, Fock module and related topics math.FA · 2018 · author #1
4. The Fock space as a de Branges-Rovnyak space math.FA · 2018 · author #1
5. Realization of tensor-product and of tensor-Factorization of rational functions math.OC · 2018 · author #1
6. Positivity, rational Schur functions, Blaschke factors, and other related results in the Grassmann algebra math.FA · 2018 · author #1
7. Composition of rational functions: state-space realization and applications math.CV · 2018 · author #1
8. Distribution spaces and a new construction of stochastic processes associated with the Grassmann algebra math-ph · 2018 · author #1
9. Commuting operators over Pontryagin spaces with applications to system theory math.FA · 2018 · author #1
10. Realizations of holomorphic and slice hyperholomorphic functions: the Krein space case math.FA · 2018 · author #1
11. Generalized Fock spaces and the Stirling numbers math.FA · 2018 · author #1
12. Stochastic Wiener Filter in the White Noise Space math.OC · 2017 · author #1
13. About a non-standard interpolation problem math.CV · 2017 · author #1
14. "Wrong" Side Interpolation by Low Degree Positive Real rational Functions math.OC · 2017 · author #1
15. W-Markov measures, transfer operators, wavelets and multiresolutions math.PR · 2016 · author #1
16. Adaptative decomposition: the case of the Drury-Arveson space math.CV · 2016 · author #1
17. On the equivalence of probability spaces math.PR · 2016 · author #1
18. Beurling-Lax type theorems in the complex and quaternionic setting: the half-space case math.FA · 2015 · author #1
19. Kolmogorov's axioms for probabilities with values in hyperbolic numbers math.PR · 2015 · author #1
20. Functions of the infinitesimal generator of a strongly continuous quaternionic group math.SP · 2015 · author #1
21. Wiener algebra for the quaternions math.CV · 2015 · author #1
22. Wiener-Chaos Approach to Optimal Prediction math.PR · 2014 · author #1
23. Characterizations of rectangular (para)-unitary rational Functions math.CV · 2014 · author #1
24. Characterizations of families of rectangular finite impulse response, para-unitary systems math.CV · 2014 · author #1
25. The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum math.SP · 2014 · author #1
26. A new realization of rational functions, with applications to linear combination interpolation math.FA · 2014 · author #1
27. Generalized quaternionic Schur functions in the ball and half-space and Krein-Langer factorization math.CV · 2014 · author #1
28. The Fock space in the slice hyperholomorphic setting math.CV · 2014 · author #1
29. Realizations of infinite products, Ruelle operators and wavelet filters math.CV · 2014 · author #1
30. On free stochastic processes and their derivatives math.OA · 2013 · author #1
31. A new resolvent equation for the S-functional calculus math.FA · 2013 · author #1
32. Realizations of slice hyperholomorphic generalized contractive and positive functions math.CV · 2013 · author #1
33. Self-mappings of the quaternionic unit ball: multiplier properties, Schwarz-Pick inequality, and Nevanlinna--Pick interpolation problem math.CV · 2013 · author #1
34. Minimal state space realization, static output feedback and matrix completion of families of systems math.CV · 2013 · author #1
35. Basics of functional analysis with bicomplex scalars, and bicomplex Schur analysis math.CV · 2013 · author #1
36. Inner product spaces and Krein spaces in the quaternionic setting math.FA · 2013 · author #1
37. On algebras which are inductive limits of Banach spaces math.FA · 2013 · author #1
38. Reproducing kernel Hilbert spaces generated by the binomial coefficients math.CV · 2012 · author #1
39. Non-commutative stochastic distributions and applications to linear systems theory math.FA · 2012 · author #1
40. On discrete analytic functions: Products, Rational Functions, and some Associated Reproducing Kernel Hilbert Spaces math.FA · 2012 · author #1
41. Spectral theory for Gaussian processes: Reproducing kernels, random functions, boundaries, and $\mathbf L^2$-wavelet generators with fractional scales math.FA · 2012 · author #1
42. Interpolation by polynomials with symmetries on the imaginary axis math.CV · 2012 · author #1
43. Krein-Langer factorization and related topics in the slice hyperholomorphic setting math.FA · 2012 · author #1
44. Topological convolution algebras math.FA · 2012 · author #1
45. Pontryagin de Branges Rovnyak spaces of slice hyperholomorphic functions math.FA · 2012 · author #1
46. State space realization of even generalized positive and odd rational function. Applications to static output feedback math.OC · 2012 · author #1
47. Schur functions and their realizations in the slice hyperholomorphic setting math.FA · 2011 · author #1
48. Stochastic processes induced by singular operators math.PR · 2011 · author #1
49. Stochastic integration for a wide class of Gaussian stationary increment processes using an extension of the S-transform math.PR · 2011 · author #1
50. New Topological C-Algebras with Applications in Linear Systems Theory math.FA · 2011 · author #1
51. Extending wavelet filters. Infinite dimensions, the non-rational case, and indefinite-inner product spaces math.CV · 2011 · author #1
52. Easy-to-compute parameterizations of all wavelet filters: input-output and state-space math.CV · 2011 · author #1
53. An interpolation problem for functions with values in a commutative ring math.FA · 2011 · author #1
54. Representation formulas for Hardy space functions through the Cuntz relations and new interpolation problems math.FA · 2011 · author #1
55. The positive real lemma and construction of all realizations of generalized positive rational functions math.OC · 2010 · author #1
56. Convex Cones of Generalized Positive Rational Functions and Nevanlinna-Pick Interpolation math.OC · 2010 · author #1
57. A class of Gaussian processes with fractional spectral measures math.PR · 2010 · author #1
58. White noise based stochastic calculus associated with a class of Gaussian processes math.PR · 2010 · author #1
59. Discrete-time multi-scale systems math.FA · 2009 · author #1
60. On the characteristics of a class of Gaussian processes within the white noise space setting math.PR · 2009 · author #1
61. Linear stochastic systems: a white noise approach math.PR · 2008 · author #1
62. Generalized Q-functions and Dirichlet-to-Neumann maps for elliptic differential operators math.FA · 2008 · author #1
63. A characterization of Schur multipliers between character-automorphic Hardy spaces math.CV · 2008 · author #1
64. Rational functions associated with the white noise space and related topics math.PR · 2008 · author #1
65. Rigidity, boundary interpolation and reproducing kernels math.CV · 2007 · author #1
66. Caratheodory-Fejer interpolation and related topics in locally convex spaces math.FA · 2007 · author #1
67. On the reproducing kernel Hilbert spaces associated with the fractional and bi-fractional Brownian motions math.PR · 2007 · author #1
68. Carath\'eodory functions in the Banach space setting math.FA · 2006 · author #1
69. Schur multipliers and de Branges-Rovnyak spaces: the multiscale case math.OA · 2006 · author #1
70. Point evaluation and Hardy space on a homogeneous tree math.OA · 2003 · author #1

Mentions

• 1509.06100 #1 · backfill · confidence 0.70 Daniel Alpay
• 1508.01350 #1 · backfill · confidence 0.70 Daniel Alpay
• 1105.0256 #1 · arxiv_oai · confidence 0.70 Daniel Alpay
• 1010.3548 #1 · arxiv_oai · confidence 0.70 Daniel Alpay
• 1502.02954 #1 · backfill · confidence 0.70 Daniel Alpay
• 1501.02642 #1 · backfill · confidence 0.70 Daniel Alpay
• 1411.3032 #1 · backfill · confidence 0.70 Daniel Alpay
• 1410.0283 #1 · backfill · confidence 0.70 Daniel Alpay
• 1410.0280 #1 · backfill · confidence 0.70 Daniel Alpay
• 1409.7010 #1 · backfill · confidence 0.70 Daniel Alpay
• 2605.30616 #1 · arxiv_oai · confidence 0.70 Daniel Alpay
• 1408.4404 #1 · backfill · confidence 0.70 Daniel Alpay
• 1406.6830 #1 · backfill · confidence 0.70 Daniel Alpay
• 1406.5583 #1 · backfill · confidence 0.70 Daniel Alpay
• 1406.5338 #1 · backfill · confidence 0.70 Daniel Alpay
• 1311.3239 #1 · backfill · confidence 0.70 Daniel Alpay
• 1310.7626 #1 · backfill · confidence 0.70 Daniel Alpay
• 1310.1035 #1 · backfill · confidence 0.70 Daniel Alpay
• 1308.2658 #1 · backfill · confidence 0.70 Daniel Alpay
• 1305.1756 #1 · backfill · confidence 0.70 Daniel Alpay
• 1304.0781 #1 · backfill · confidence 0.70 Daniel Alpay
• 1303.1076 #1 · backfill · confidence 0.70 Daniel Alpay
• 1302.3372 #1 · backfill · confidence 0.70 Daniel Alpay
• 1212.1564 #1 · backfill · confidence 0.70 Daniel Alpay
• 1209.4580 #1 · backfill · confidence 0.70 Daniel Alpay
• 1208.3699 #1 · backfill · confidence 0.70 Daniel Alpay
• 1208.2918 #1 · backfill · confidence 0.70 Daniel Alpay
• 1208.1869 #1 · backfill · confidence 0.70 Daniel Alpay
• 1204.5491 #1 · backfill · confidence 0.70 Daniel Alpay
• 1204.5277 #1 · backfill · confidence 0.70 Daniel Alpay
• 1203.0234 #1 · backfill · confidence 0.70 Daniel Alpay
• 1202.1099 #1 · backfill · confidence 0.70 Daniel Alpay
• 1110.2634 #1 · backfill · confidence 0.70 Daniel Alpay
• 1109.5273 #1 · backfill · confidence 0.70 Daniel Alpay
• 1109.1099 #1 · backfill · confidence 0.70 Daniel Alpay
• 1106.5746 #1 · backfill · confidence 0.70 Daniel Alpay
• 1106.2303 #1 · backfill · confidence 0.70 Daniel Alpay
• 1105.0256 #1 · backfill · confidence 0.70 Daniel Alpay
• 1104.1603 #1 · backfill · confidence 0.70 Daniel Alpay
• 1104.0621 #1 · backfill · confidence 0.70 Daniel Alpay
• 1010.3548 #1 · backfill · confidence 0.70 Daniel Alpay
• 1010.0546 #1 · backfill · confidence 0.70 Daniel Alpay
• 1009.0233 #1 · backfill · confidence 0.70 Daniel Alpay
• 1008.0186 #1 · backfill · confidence 0.70 Daniel Alpay
• 0910.0234 #1 · backfill · confidence 0.70 Daniel Alpay
• 0909.4267 #1 · backfill · confidence 0.70 Daniel Alpay
• 0811.4321 #1 · backfill · confidence 0.70 Daniel Alpay
• 0807.0095 #1 · backfill · confidence 0.70 Daniel Alpay
• 0802.4417 #1 · backfill · confidence 0.70 Daniel Alpay
• 0802.2373 #1 · backfill · confidence 0.70 Daniel Alpay
• 0709.2504 #1 · backfill · confidence 0.70 Daniel Alpay
• 0707.0774 #1 · backfill · confidence 0.70 Daniel Alpay
• 0705.2863 #1 · backfill · confidence 0.70 Daniel Alpay

Frequent Coauthors

• Izchak Lewkowicz 17 shared papers
• Fabrizio Colombo 15 shared papers
• Palle Jorgensen 15 shared papers
• Irene Sabadini 14 shared papers
• David Levanony 7 shared papers
• Dan Volok 6 shared papers
• Guy Salomon 6 shared papers
• Daniele C. Struppa 4 shared papers
• David P. Kimsey 3 shared papers
• Haim Attia 3 shared papers
• Ismael L. Paiva 3 shared papers
• Alon Kipnis 2 shared papers
• Ariel Pinhas 2 shared papers
• Jonathan Gantner 2 shared papers
• Michael Shapiro 2 shared papers
• Olga Timoshenko 2 shared papers
• Aad Dijksma 1 shared papers
• Alain Yger 1 shared papers
• Baruch Schneider 1 shared papers
• David Shoikhet 1 shared papers