Alpay, Daniel; Jorgensen, Palle Transfer operators and conditional expectations: the non-commutative case, the case of mu-Brownian motions and white noise space setting. (English) Zbl 07795636 Banach J. Math. Anal. 18, No. 1, Paper No. 5, 24 p. (2024). MSC: 28A50 60J65 46L53 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{P. Jorgensen}, Banach J. Math. Anal. 18, No. 1, Paper No. 5, 24 p. (2024; Zbl 07795636) Full Text: DOI
Tamura, Yuma On a certain martingale representation and the related Infinite dimensional moment problem. (English) Zbl 1528.60035 Japan J. Ind. Appl. Math. 41, No. 1, 609-615 (2024). MSC: 60G44 44A60 PDFBibTeX XMLCite \textit{Y. Tamura}, Japan J. Ind. Appl. Math. 41, No. 1, 609--615 (2024; Zbl 1528.60035) Full Text: DOI
Qian, Tao; Zhang, Ying; Liu, Wanquan; Qu, Wei Adaptive Fourier decomposition-type sparse representations versus the Karhunen-Loève expansion for decomposing stochastic processes. (English) Zbl 07784849 Math. Methods Appl. Sci. 46, No. 13, 14007-14025 (2023). MSC: 62L20 60G99 30B99 60J65 PDFBibTeX XMLCite \textit{T. Qian} et al., Math. Methods Appl. Sci. 46, No. 13, 14007--14025 (2023; Zbl 07784849) Full Text: DOI
Bezuglyi, Sergey; Jorgensen, Palle E. T. New Hilbert space tools for analysis of graph Laplacians and Markov processes. (English) Zbl 07746170 Complex Anal. Oper. Theory 17, No. 7, Paper No. 111, 86 p. (2023). MSC: 47L50 46E22 31C25 60J45 PDFBibTeX XMLCite \textit{S. Bezuglyi} and \textit{P. E. T. Jorgensen}, Complex Anal. Oper. Theory 17, No. 7, Paper No. 111, 86 p. (2023; Zbl 07746170) Full Text: DOI
Jorgensen, Palle E. T.; Song, Myung-Sin; Tian, James Infinite-dimensional stochastic transforms and reproducing kernel Hilbert space. (English) Zbl 07739023 Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 12, 27 p. (2023). MSC: 47B32 41A15 41A65 42A82 42C15 46E22 47A05 47N10 60G15 62H25 68T07 81S05 90C20 94A08 94A12 94A20 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} et al., Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 12, 27 p. (2023; Zbl 07739023) Full Text: DOI arXiv
Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak Representation theory and multilevel filters. (English) Zbl 07734299 J. Appl. Math. Comput. 69, No. 2, 1599-1657 (2023). MSC: 42C40 46L05 47L15 47L30 47L55 60G15 60J25 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Appl. Math. Comput. 69, No. 2, 1599--1657 (2023; Zbl 07734299) Full Text: DOI arXiv
Dick, Josef; Ehler, Martin; Gräf, Manuel; Krattenthaler, Christian Spectral decomposition of discrepancy kernels on the Euclidean ball, the special orthogonal group, and the Grassmannian manifold. (English) Zbl 07698576 Constr. Approx. 57, No. 3, 983-1026 (2023). MSC: 65T40 65T50 42C10 42B10 43A65 43A85 60B10 PDFBibTeX XMLCite \textit{J. Dick} et al., Constr. Approx. 57, No. 3, 983--1026 (2023; Zbl 07698576) Full Text: DOI arXiv
Alpay, Daniel; Cerejeiras, Paula; Kaehler, Uwe Generalized Grassmann algebras and applications to stochastic processes. (English) Zbl 1527.30031 Math. Methods Appl. Sci. 45, No. 1, 383-401 (2022). MSC: 30G35 60G22 15A75 PDFBibTeX XMLCite \textit{D. Alpay} et al., Math. Methods Appl. Sci. 45, No. 1, 383--401 (2022; Zbl 1527.30031) Full Text: DOI arXiv
Alpay, Daniel; Jorgensen, Palle; Porat, Motke White noise space analysis and multiplicative change of measures. (English) Zbl 1507.60044 J. Math. Phys. 63, No. 4, Article ID 042102, 23 p. (2022). MSC: 60G15 60H40 28C20 46E22 60H05 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Math. Phys. 63, No. 4, Article ID 042102, 23 p. (2022; Zbl 1507.60044) Full Text: DOI arXiv
Alpay, Daniel; Jorgensen, Palle mu-Brownian motion, dualities, diffusions, transforms, and reproducing kernel Hilbert spaces. (English) Zbl 1502.60113 J. Theor. Probab. 35, No. 4, 2757-2783 (2022). MSC: 60J22 60J70 46E22 60H40 60G15 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{P. Jorgensen}, J. Theor. Probab. 35, No. 4, 2757--2783 (2022; Zbl 1502.60113) Full Text: DOI
Alpay, Daniel; Cerejeiras, Paula; Kähler, Uwe Generalized white noise analysis and topological algebras. (English) Zbl 1498.60294 Stochastics 94, No. 6, 926-958 (2022). MSC: 60H40 60G15 46F25 PDFBibTeX XMLCite \textit{D. Alpay} et al., Stochastics 94, No. 6, 926--958 (2022; Zbl 1498.60294) Full Text: DOI
Luna-Elizarrarás, M. E.; Ramírez-Reyes, F.; Shapiro, M. On complexification of real spaces and its manifestations in the theory of Bochner and Pettis integrals. (English. Russian original) Zbl 1504.46052 J. Math. Sci., New York 264, No. 6, 768-781 (2022); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 4, 706-722 (2018). MSC: 46G10 46B99 60B11 PDFBibTeX XMLCite \textit{M. E. Luna-Elizarrarás} et al., J. Math. Sci., New York 264, No. 6, 768--781 (2022; Zbl 1504.46052); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 4, 706--722 (2018) Full Text: DOI
Albeverio, Sergio; Borasi, Luigi; De Vecchi, Francesco C.; Gubinelli, Massimiliano Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions. (English) Zbl 1513.81121 Probab. Theory Relat. Fields 183, No. 3-4, 909-995 (2022). MSC: 81T75 81S20 81T08 60H15 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Probab. Theory Relat. Fields 183, No. 3--4, 909--995 (2022; Zbl 1513.81121) Full Text: DOI arXiv
Loubaton, Philippe; Mestre, Xavier On the asymptotic behavior of the eigenvalue distribution of block correlation matrices of high-dimensional time series. (English) Zbl 1516.62078 Random Matrices Theory Appl. 11, No. 3, Article ID 2250024, 83 p. (2022). MSC: 62M15 62M10 60B20 62H12 PDFBibTeX XMLCite \textit{P. Loubaton} and \textit{X. Mestre}, Random Matrices Theory Appl. 11, No. 3, Article ID 2250024, 83 p. (2022; Zbl 1516.62078) Full Text: DOI arXiv
Agbokou, Komi; Mensah, Yaogan Inference on the reproducing kernel Hilbert spaces. (English) Zbl 1499.62122 Univers. J. Math. Math. Sci. 15, 11-29 (2022). MSC: 62G07 60G15 60B05 62G08 PDFBibTeX XMLCite \textit{K. Agbokou} and \textit{Y. Mensah}, Univers. J. Math. Math. Sci. 15, 11--29 (2022; Zbl 1499.62122) Full Text: DOI
Bernstein, Swanhild; Legatiuk, Dmitrii Brownian motion, martingales and Itô formula in Clifford analysis. (English) Zbl 1493.30096 Adv. Appl. Clifford Algebr. 32, No. 3, Paper No. 27, 18 p. (2022). Reviewer: Nelson Faustino (Alfeizerão) MSC: 30G35 60H40 46G99 60H15 PDFBibTeX XMLCite \textit{S. Bernstein} and \textit{D. Legatiuk}, Adv. Appl. Clifford Algebr. 32, No. 3, Paper No. 27, 18 p. (2022; Zbl 1493.30096) Full Text: DOI arXiv
Bezuglyi, Sergey; Jorgensen, Palle E. T. Harmonic analysis on graphs via Bratteli diagrams and path-space measures. (English) Zbl 1493.37016 Diss. Math. 574, 1-74 (2022). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 37B10 37A46 37H10 42B37 47L50 60J45 28D05 PDFBibTeX XMLCite \textit{S. Bezuglyi} and \textit{P. E. T. Jorgensen}, Diss. Math. 574, 1--74 (2022; Zbl 1493.37016) Full Text: DOI arXiv
Jorgensen, Palle; Tian, James Reproducing kernels and choices of associated feature spaces, in the form of \(L^2\)-spaces. (English) Zbl 1493.47032 J. Math. Anal. Appl. 505, No. 2, Article ID 125535, 31 p. (2022). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47B32 42C15 46E22 60G15 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{J. Tian}, J. Math. Anal. Appl. 505, No. 2, Article ID 125535, 31 p. (2022; Zbl 1493.47032) Full Text: DOI arXiv
Bezuglyi, Sergey; Jorgensen, Palle E. T. Symmetric measures, continuous networks, and dynamics. (English) Zbl 1503.60105 Alpay, Daniel (ed.) et al., New directions in function theory: from complex to hypercomplex to non-commutative. Selected papers based on the presentations at the conference, Chapman University, Orange, CA, USA, November 21–26, 2019. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 286, 139-197 (2021). MSC: 60J25 31C12 60G50 PDFBibTeX XMLCite \textit{S. Bezuglyi} and \textit{P. E. T. Jorgensen}, Oper. Theory: Adv. Appl. 286, 139--197 (2021; Zbl 1503.60105) Full Text: DOI
Song, Xiaoming Large deviations for functionals of some self-similar Gaussian processes. (English) Zbl 1490.60082 Stochastics 93, No. 3, 311-336 (2021). MSC: 60G15 60F10 60G18 60G22 60J55 PDFBibTeX XMLCite \textit{X. Song}, Stochastics 93, No. 3, 311--336 (2021; Zbl 1490.60082) Full Text: DOI arXiv
Boufoussi, Brahim; Nachit, Yassine On the Besov regularity of the bifractional Brownian motion. (English) Zbl 1485.60041 Probab. Math. Stat. 41, No. 2, 303-320 (2021). MSC: 60G15 60G22 60G18 PDFBibTeX XMLCite \textit{B. Boufoussi} and \textit{Y. Nachit}, Probab. Math. Stat. 41, No. 2, 303--320 (2021; Zbl 1485.60041) Full Text: DOI arXiv
Téllez-Sánchez, G. Y.; Bory-Reyes, J. Extensions of the Shannon entropy and the chaos game algorithm to hyperbolic numbers plane. (English) Zbl 1493.60006 Fractals 29, No. 1, Article ID 2150013, 8 p. (2021). MSC: 60A05 60A10 62B10 94A17 PDFBibTeX XMLCite \textit{G. Y. Téllez-Sánchez} and \textit{J. Bory-Reyes}, Fractals 29, No. 1, Article ID 2150013, 8 p. (2021; Zbl 1493.60006) Full Text: DOI arXiv
Borisova, Galina S. Solitonic combinations, commuting nonselfadjoint operators, and applications. (English) Zbl 07355807 Complex Anal. Oper. Theory 15, No. 3, Paper No. 45, 57 p. (2021). MSC: 47A48 60G12 47F05 PDFBibTeX XMLCite \textit{G. S. Borisova}, Complex Anal. Oper. Theory 15, No. 3, Paper No. 45, 57 p. (2021; Zbl 07355807) Full Text: DOI arXiv
Bezuglyi, Sergey; Jorgensen, Palle E. T. Harmonic analysis invariants for infinite graphs via operators and algorithms. (English) Zbl 1462.05261 J. Fourier Anal. Appl. 27, No. 2, Paper No. 34, 46 p. (2021). MSC: 05C63 05C82 37B10 41A63 42B37 47L50 60J45 PDFBibTeX XMLCite \textit{S. Bezuglyi} and \textit{P. E. T. Jorgensen}, J. Fourier Anal. Appl. 27, No. 2, Paper No. 34, 46 p. (2021; Zbl 1462.05261) Full Text: DOI arXiv
Riahi, Anis; Ettaieb, Amine; Chammam, Wathek; Alhussain, Ziyad Ali An analytic characterization of \((p,q)\)-white noise functionals. (English) Zbl 1489.81042 J. Math. 2020, Article ID 6319138, 8 p. (2020). MSC: 81R60 60H40 PDFBibTeX XMLCite \textit{A. Riahi} et al., J. Math. 2020, Article ID 6319138, 8 p. (2020; Zbl 1489.81042) Full Text: DOI
Jorgensen, Palle; Song, Myung-Sin; Tian, James A Kaczmarz algorithm for sequences of projections, infinite products, and applications to frames in IFS \(L^2\) spaces. (English) Zbl 1444.47078 Adv. Oper. Theory 5, No. 3, 1100-1131 (2020). MSC: 47L60 46N30 46N50 42C15 65R10 60J20 PDFBibTeX XMLCite \textit{P. Jorgensen} et al., Adv. Oper. Theory 5, No. 3, 1100--1131 (2020; Zbl 1444.47078) Full Text: DOI arXiv
Bender, Christian Itô’s formula for Gaussian processes with stochastic discontinuities. (English) Zbl 1468.60066 Ann. Probab. 48, No. 1, 458-492 (2020). MSC: 60H07 60H05 60G15 PDFBibTeX XMLCite \textit{C. Bender}, Ann. Probab. 48, No. 1, 458--492 (2020; Zbl 1468.60066) Full Text: DOI arXiv Euclid
Alpay, Daniel; Pinhas, Ariel Stochastic Wiener filter in the white noise space. (English) Zbl 1441.93307 Opusc. Math. 40, No. 3, 323-339 (2020). MSC: 93E11 60H40 93C25 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{A. Pinhas}, Opusc. Math. 40, No. 3, 323--339 (2020; Zbl 1441.93307) Full Text: DOI arXiv
Jorgensen, Palle; Tian, James Noncommutative boundaries arising in dynamics and representations of the Cuntz relations. (English) Zbl 1443.47086 Numer. Funct. Anal. Optim. 41, No. 5, 571-620 (2020). MSC: 47L60 46N30 81S25 81R15 81T05 81T75 60D05 60G15 60J25 65R10 58J65 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{J. Tian}, Numer. Funct. Anal. Optim. 41, No. 5, 571--620 (2020; Zbl 1443.47086) Full Text: DOI
Yosef, Arthur; Baranes, Amos Karhunen-Loève expansion of a set indexed fractional Brownian motion. (English) Zbl 1453.60090 Stat. Probab. Lett. 156, Article ID 108629, 6 p. (2020). MSC: 60G22 60J65 60G15 60G17 PDFBibTeX XMLCite \textit{A. Yosef} and \textit{A. Baranes}, Stat. Probab. Lett. 156, Article ID 108629, 6 p. (2020; Zbl 1453.60090) Full Text: DOI
Infusino, Maria; Kuna, Tobias The full moment problem on subsets of probabilities and point configurations. (English) Zbl 1425.60050 J. Math. Anal. Appl. 483, No. 1, Article ID 123551, 29 p. (2020). MSC: 60G55 28C20 44A60 46F10 47A57 60H07 60D05 PDFBibTeX XMLCite \textit{M. Infusino} and \textit{T. Kuna}, J. Math. Anal. Appl. 483, No. 1, Article ID 123551, 29 p. (2020; Zbl 1425.60050) Full Text: DOI arXiv Link
Cho, Ilwoo; Jorgensen, Palle E. T. Deformation of semicircular and circular laws via \(p\)-adic number fields and sampling of primes. (English) Zbl 1452.46052 Opusc. Math. 39, No. 6, 773-813 (2019). MSC: 46L54 46S10 47L30 47L55 60B05 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Opusc. Math. 39, No. 6, 773--813 (2019; Zbl 1452.46052) Full Text: DOI
Jorgensen, Palle; Tian, Feng Decomposition of Gaussian processes, and factorization of positive definite kernels. (English) Zbl 1443.47085 Opusc. Math. 39, No. 4, 497-541 (2019). Reviewer: Jaydeb Sarkar (Bangalore) MSC: 47L60 46N30 46N50 42C15 65R10 05C50 05C75 31C20 60J20 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Opusc. Math. 39, No. 4, 497--541 (2019; Zbl 1443.47085) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng Dynamical properties of endomorphisms, multiresolutions, similarity and orthogonality relations. (English) Zbl 1447.81147 Discrete Contin. Dyn. Syst., Ser. S 12, No. 8, 2307-2348 (2019). MSC: 81S20 81S40 60H07 47L60 46N30 65R10 58J65 81S25 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Discrete Contin. Dyn. Syst., Ser. S 12, No. 8, 2307--2348 (2019; Zbl 1447.81147) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng Reflection positivity, duality, and spectral theory. (English) Zbl 1525.47130 J. Appl. Math. Comput. 59, No. 1-2, 361-404 (2019). MSC: 47L60 46N30 81S25 81R15 81T05 81T75 60J25 65R10 58J65 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, J. Appl. Math. Comput. 59, No. 1--2, 361--404 (2019; Zbl 1525.47130) Full Text: DOI arXiv
Bezuglyi, Sergey; Jorgensen, Palle E. T. Monopoles, dipoles, and harmonic functions on Bratteli diagrams. (English) Zbl 1408.37021 Acta Appl. Math. 159, 169-224 (2019). MSC: 37B10 47L50 60J45 PDFBibTeX XMLCite \textit{S. Bezuglyi} and \textit{P. E. T. Jorgensen}, Acta Appl. Math. 159, 169--224 (2019; Zbl 1408.37021) Full Text: DOI arXiv
Alpay, Daniel; Paiva, Ismael L.; Struppa, Daniele C. Distribution spaces and a new construction of stochastic processes associated with the Grassmann algebra. (English) Zbl 1418.46028 J. Math. Phys. 60, No. 1, 013508, 21 p. (2019). MSC: 46L53 46L51 46L54 30H20 15A75 60G51 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Math. Phys. 60, No. 1, 013508, 21 p. (2019; Zbl 1418.46028) Full Text: DOI arXiv Link
Jorgensen, Palle E. T.; Pearse, Erin P. J. Continuum versus discrete networks, graph Laplacians, and reproducing kernel Hilbert spaces. (English) Zbl 1397.05176 J. Math. Anal. Appl. 469, No. 2, 765-807 (2019). MSC: 05C82 60J10 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{E. P. J. Pearse}, J. Math. Anal. Appl. 469, No. 2, 765--807 (2019; Zbl 1397.05176) Full Text: DOI
Jorgensen, Palle E. T.; Neeb, Karl-Hermann; Ólafsson, Gestur Reflection negative kernels and fractional Brownian motion. (English) Zbl 1423.60169 Symmetry 10, No. 6, Paper No. 191, 39 p. (2018). MSC: 60K40 60G22 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} et al., Symmetry 10, No. 6, Paper No. 191, 39 p. (2018; Zbl 1423.60169) Full Text: DOI arXiv
Colombo, Fabrizio; Gantner, Jonathan An application of the \(S\)-functional calculus to fractional diffusion processes. (English) Zbl 1447.47063 Milan J. Math. 86, No. 2, 225-303 (2018). MSC: 47S05 47A60 47A10 26A33 60J60 47N20 PDFBibTeX XMLCite \textit{F. Colombo} and \textit{J. Gantner}, Milan J. Math. 86, No. 2, 225--303 (2018; Zbl 1447.47063) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng Infinite weighted graphs with bounded resistance metric. (English) Zbl 1401.05200 Math. Scand. 123, No. 1, 5-38 (2018). MSC: 05C63 05C22 05C12 60J10 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Math. Scand. 123, No. 1, 5--38 (2018; Zbl 1401.05200) Full Text: DOI arXiv
Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak \(W\)-Markov measures, transfer operators, wavelets and multiresolutions. (English) Zbl 1398.37020 Kim, Yeonhyang (ed.) et al., Frames and harmonic analysis. AMS special session on frames, wavelets and Gabor systems and special session on frames, harmonic analysis, and operator theory, North Dakota State University, Fargo, ND, USA, April 16–17, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3619-3/pbk; 978-1-4704-4723-6/ebook). Contemporary Mathematics 706, 293-343 (2018). MSC: 37C30 46L55 47B65 60J05 60J10 65T60 PDFBibTeX XMLCite \textit{D. Alpay} et al., Contemp. Math. 706, 293--343 (2018; Zbl 1398.37020) Full Text: DOI arXiv
Colombo, Fabrizio; Gantner, Jonathan Fractional powers of vector operators and fractional Fourier’s law in a Hilbert space. (English) Zbl 1401.60151 J. Phys. A, Math. Theor. 51, No. 30, Article ID 305201, 25 p. (2018). MSC: 60J60 60G22 80A20 PDFBibTeX XMLCite \textit{F. Colombo} and \textit{J. Gantner}, J. Phys. A, Math. Theor. 51, No. 30, Article ID 305201, 25 p. (2018; Zbl 1401.60151) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng Metric duality between positive definite kernels and boundary processes. (English) Zbl 1393.46022 Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 3, 13 p. (2018). Reviewer: Brett Wick (St. Louis) MSC: 46E22 60G15 46N30 42C15 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 3, 13 p. (2018; Zbl 1393.46022) Full Text: DOI arXiv
Grünbaum, F. A.; Velázquez, L. A generalization of Schur functions: applications to Nevanlinna functions, orthogonal polynomials, random walks and unitary and open quantum walks. (English) Zbl 1464.47011 Adv. Math. 326, 352-464 (2018). Reviewer: Uwe Franz (Besançon) MSC: 47A56 42C05 47B36 60J10 81Q99 PDFBibTeX XMLCite \textit{F. A. Grünbaum} and \textit{L. Velázquez}, Adv. Math. 326, 352--464 (2018; Zbl 1464.47011) Full Text: DOI arXiv
Loubaton, Philippe; Mestre, Xavier Spectral convergence of large block-Hankel Gaussian random matrices. (English) Zbl 1384.60028 Colombo, Fabrizio (ed.) et al., Advances in complex analysis and operator theory. Festschrift in honor of Daniel Alpay’s 60th birthday. Contributions partly based on the presentations at the international conference on complex analysis and operator theory, Chapman University, Orange, CA, USA, November 2016. Cham: Birkhäuser/Springer (ISBN 978-3-319-62361-0/hbk; 978-3-319-62362-7/ebook). Trends in Mathematics, 247-280 (2017). MSC: 60B20 15B52 PDFBibTeX XMLCite \textit{P. Loubaton} and \textit{X. Mestre}, in: Advances in complex analysis and operator theory. Festschrift in honor of Daniel Alpay's 60th birthday. Contributions partly based on the presentations at the international conference on complex analysis and operator theory, Chapman University, Orange, CA, USA, November 2016. Cham: Birkhäuser/Springer. 247--280 (2017; Zbl 1384.60028) Full Text: DOI arXiv
Alpay, Daniel; Jorgensen, Palle; Levanony, David On the equivalence of probability spaces. (English) Zbl 1388.60081 J. Theor. Probab. 30, No. 3, 813-841 (2017). Reviewer: Yana Kinderknecht (Saarbrücken) MSC: 60G15 58D20 60H05 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Theor. Probab. 30, No. 3, 813--841 (2017; Zbl 1388.60081) Full Text: DOI arXiv
Accardi, Luigi; Dhahri, Abdallah \(d\)-dimensional orthogonal polynomials: commutator theorem and other results. (English) Zbl 1373.60127 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 20, No. 2, Article ID 1750011, 14 p. (2017). MSC: 60H40 33C45 PDFBibTeX XMLCite \textit{L. Accardi} and \textit{A. Dhahri}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 20, No. 2, Article ID 1750011, 14 p. (2017; Zbl 1373.60127) Full Text: DOI
Alpay, Daniel; Luna-Elizarrarás, M. Elena; Shapiro, Michael Kolmogorov’s axioms for probabilities with values in hyperbolic numbers. (English) Zbl 1388.60011 Adv. Appl. Clifford Algebr. 27, No. 2, 913-929 (2017). MSC: 60A05 60A10 46S10 PDFBibTeX XMLCite \textit{D. Alpay} et al., Adv. Appl. Clifford Algebr. 27, No. 2, 913--929 (2017; Zbl 1388.60011) Full Text: DOI arXiv
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene On a class of quaternionic positive definite functions and their derivatives. (English) Zbl 1361.60026 J. Math. Phys. 58, No. 3, 033501, 15 p. (2017). MSC: 60G15 11R52 42A82 30H20 62J10 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Math. Phys. 58, No. 3, 033501, 15 p. (2017; Zbl 1361.60026) Full Text: DOI Link
Jorgensen, Palle E. T.; Neeb, Karl-Hermann; Ólafsson, Gestur Reflection positive stochastic processes indexed by Lie groups. (English) Zbl 1343.22008 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 058, 49 p. (2016). Reviewer: Guy Jumarie (Montréal) MSC: 22E45 60G15 81S40 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 058, 49 p. (2016; Zbl 1343.22008) Full Text: DOI arXiv
Alpay, Daniel; Kipnis, Alon Wiener chaos approach to optimal prediction. (English) Zbl 1334.60057 Numer. Funct. Anal. Optim. 36, No. 10, 1286-1306 (2015). MSC: 60G25 60G15 60G10 60G22 60H40 62M20 30H10 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{A. Kipnis}, Numer. Funct. Anal. Optim. 36, No. 10, 1286--1306 (2015; Zbl 1334.60057) Full Text: DOI arXiv
Alpay, Daniel; Jorgensen, Palle Spectral theory for Gaussian processes: reproducing kernels, boundaries, and \(\mathrm{L}^{2}\)-wavelet generators with fractional scales. (English) Zbl 1335.60053 Numer. Funct. Anal. Optim. 36, No. 10, 1239-1285 (2015). MSC: 60G15 46E22 42C40 60H05 60H40 47B15 46F20 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{P. Jorgensen}, Numer. Funct. Anal. Optim. 36, No. 10, 1239--1285 (2015; Zbl 1335.60053) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Song, Myung-Sin Reproducing kernel Hilbert space vs. frame estimates. (English) Zbl 1330.42018 Mathematics 3, No. 3, 615-625 (2015). MSC: 42C15 46E22 60G15 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{M.-S. Song}, Mathematics 3, No. 3, 615--625 (2015; Zbl 1330.42018) Full Text: DOI arXiv
Bingham, N. H.; Missaoui, Badr Aspects of prediction. (English) Zbl 1314.62214 J. Appl. Probab. 51A, Spec. Vol., 189-201 (2014). MSC: 62M20 62-02 60G10 PDFBibTeX XMLCite \textit{N. H. Bingham} and \textit{B. Missaoui}, J. Appl. Probab. 51A, 189--201 (2014; Zbl 1314.62214) Full Text: DOI Euclid
Fageot, Julien; Amini, Arash; Unser, Michael On the continuity of characteristic functionals and sparse stochastic modeling. (English) Zbl 1306.60036 J. Fourier Anal. Appl. 20, No. 6, 1179-1211 (2014). MSC: 60G20 60H40 60H10 60G18 PDFBibTeX XMLCite \textit{J. Fageot} et al., J. Fourier Anal. Appl. 20, No. 6, 1179--1211 (2014; Zbl 1306.60036) Full Text: DOI arXiv
Alpay, Daniel; Jorgensen, Palle; Salomon, Guy On free stochastic processes and their derivatives. (English) Zbl 1296.60181 Stochastic Processes Appl. 124, No. 10, 3392-3411 (2014). MSC: 60H40 93B07 PDFBibTeX XMLCite \textit{D. Alpay} et al., Stochastic Processes Appl. 124, No. 10, 3392--3411 (2014; Zbl 1296.60181) Full Text: DOI arXiv
Jørgensen, Palle E. T. A universal envelope for Gaussian processes and their kernels. (English) Zbl 1310.46028 J. Appl. Math. Comput. 44, No. 1-2, 1-38 (2014). MSC: 46E22 47B32 60G15 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen}, J. Appl. Math. Comput. 44, No. 1--2, 1--38 (2014; Zbl 1310.46028) Full Text: DOI
Alpay, Daniel; Salomon, Guy Non-commutative stochastic distributions and applications to linear systems theory. (English) Zbl 1306.46046 Stochastic Processes Appl. 123, No. 6, 2303-2322 (2013). MSC: 46F30 93E03 60H40 46L53 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{G. Salomon}, Stochastic Processes Appl. 123, No. 6, 2303--2322 (2013; Zbl 1306.46046) Full Text: DOI arXiv
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A. Oscillatory fractional Brownian motion. (English) Zbl 1311.60043 Acta Appl. Math. 127, No. 1, 193-215 (2013). Reviewer: Qihe Tang (Iowa City) MSC: 60G22 60G15 60F17 60J80 60G18 PDFBibTeX XMLCite \textit{T. Bojdecki} et al., Acta Appl. Math. 127, No. 1, 193--215 (2013; Zbl 1311.60043) Full Text: DOI arXiv
Albeverio, S.; Jorgensen, P. E. T.; Paolucci, A. M. On fractional Brownian motion and wavelets. (English) Zbl 1279.42038 Complex Anal. Oper. Theory 6, No. 1, 33-63 (2012). Reviewer: Ferenc Móricz (Szeged) MSC: 42C40 46C05 60G22 47L90 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Complex Anal. Oper. Theory 6, No. 1, 33--63 (2012; Zbl 1279.42038) Full Text: DOI
Alpay, Daniel; Jorgensen, Palle E. T. Stochastic processes induced by singular operators. (English) Zbl 1260.60137 Numer. Funct. Anal. Optim. 33, No. 7-9, 708-735 (2012). Reviewer: Dora Seleši (Novi Sad) MSC: 60H40 60G15 60G20 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{P. E. T. Jorgensen}, Numer. Funct. Anal. Optim. 33, No. 7--9, 708--735 (2012; Zbl 1260.60137) Full Text: DOI arXiv
Alpay, Daniel; Salomon, Guy New topological \(\mathbb C\)-algebras with applications in linear systems theory. (English) Zbl 1254.46002 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 15, No. 2, 1250011, 30 p. (2012). Reviewer: Angela Albanese (Lecce) MSC: 46A11 13J99 93E03 60H40 46H05 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{G. Salomon}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 15, No. 2, 1250011, 30 p. (2012; Zbl 1254.46002) Full Text: DOI arXiv
Alpay, Daniel; Jorgensen, Palle; Levanony, David A class of Gaussian processes with fractional spectral measures. (English) Zbl 1229.60042 J. Funct. Anal. 261, No. 2, 507-541 (2011). Reviewer: Georgiy Shevchenko (Kiev) MSC: 60G15 60H40 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Funct. Anal. 261, No. 2, 507--541 (2011; Zbl 1229.60042) Full Text: DOI arXiv
Alpay, Daniel; Attia, Haim; Levanony, David On the characteristics of a class of Gaussian processes within the white noise space setting. (English) Zbl 1197.60037 Stochastic Processes Appl. 120, No. 7, 1074-1104 (2010). MSC: 60G15 60G22 60H40 47B32 PDFBibTeX XMLCite \textit{D. Alpay} et al., Stochastic Processes Appl. 120, No. 7, 1074--1104 (2010; Zbl 1197.60037) Full Text: DOI arXiv
Alpay, Daniel; Levanony, David Linear stochastic systems: a white noise approach. (English) Zbl 1217.93157 Acta Appl. Math. 110, No. 2, 545-572 (2010). MSC: 93E03 60H40 46E22 47B32 93C05 93E15 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{D. Levanony}, Acta Appl. Math. 110, No. 2, 545--572 (2010; Zbl 1217.93157) Full Text: DOI arXiv
Jorgensen, Palle E. T. Analysis of unbounded operators and random motion. (English) Zbl 1304.47001 J. Math. Phys. 50, No. 11, 113503, 28 p. (2009). MSC: 47A05 05C63 60J50 81Q35 94C15 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen}, J. Math. Phys. 50, No. 11, 113503, 28 p. (2009; Zbl 1304.47001) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Song, Myung-Sin An extension of Wiener integration with the use of operator theory. (English) Zbl 1283.60081 J. Math. Phys. 50, No. 10, 103502, 11 p. (2009). MSC: 60H05 46G12 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{M.-S. Song}, J. Math. Phys. 50, No. 10, 103502, 11 p. (2009; Zbl 1283.60081) Full Text: DOI arXiv
Alpay, Daniel; Levanony, David Rational functions associated with the white noise space and related topics. (English) Zbl 1203.30051 Potential Anal. 29, No. 2, 195-220 (2008). MSC: 30G35 26C15 60H40 47A99 32A05 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{D. Levanony}, Potential Anal. 29, No. 2, 195--220 (2008; Zbl 1203.30051) Full Text: DOI arXiv
Alpay, Daniel; Attia, Haim; Levanony, David A generalization of the Wick-Itô stochastic integral. (Une généralisation de l’intégrale stochastique de Wick-Itô.) (French) Zbl 1143.60029 C. R., Math., Acad. Sci. Paris 346, No. 5-6, 261-265 (2008). Reviewer: Jacques Franchi (Strasbourg) MSC: 60H05 60G18 60G15 PDFBibTeX XMLCite \textit{D. Alpay} et al., C. R., Math., Acad. Sci. Paris 346, No. 5--6, 261--265 (2008; Zbl 1143.60029) Full Text: DOI
Alpay, Daniel; Levanony, David On the reproducing kernel Hilbert spaces associated with the fractional and bi-fractional Brownian motions. (English) Zbl 1136.46022 Potential Anal. 28, No. 2, 163-184 (2008). MSC: 46E22 60J65 47B32 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{D. Levanony}, Potential Anal. 28, No. 2, 163--184 (2008; Zbl 1136.46022) Full Text: DOI arXiv
Alpay, Daniel; Volok, Dan Stationary processes on the dyadic tree: prediction and covariance extension. (Processus stationnaires sur l’arbre dyadique: prédiction et extension de covariance.) (French) Zbl 1103.60037 C. R., Math., Acad. Sci. Paris 342, No. 4, 237-241 (2006). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 60G10 60G12 93E20 47B37 46N30 47A48 93B28 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{D. Volok}, C. R., Math., Acad. Sci. Paris 342, No. 4, 237--241 (2006; Zbl 1103.60037) Full Text: DOI
Woerdeman, Hugo J. The Carathéodory-Toeplitz problem with partial data. (English) Zbl 1015.47007 Linear Algebra Appl. 342, No. 1-3, 149-161 (2002). Reviewer: J.Zemánek (Warszawa) MSC: 47A57 30E05 47A56 60G12 PDFBibTeX XMLCite \textit{H. J. Woerdeman}, Linear Algebra Appl. 342, No. 1--3, 149--161 (2002; Zbl 1015.47007) Full Text: DOI Link
Loubaton, Philippe Non-full-rank causal approximations of full-rank multivariate stationary processes with rational spectrum. (English) Zbl 0724.93070 Syst. Control Lett. 15, No. 3, 265-272 (1990). MSC: 93E03 60G10 PDFBibTeX XMLCite \textit{P. Loubaton}, Syst. Control Lett. 15, No. 3, 265--272 (1990; Zbl 0724.93070) Full Text: DOI