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Numerical Functional Analysis and Optimization Volume 36, 2015 - Issue 10
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Original Articles

Spectral Theory for Gaussian Processes: Reproducing Kernels, Boundaries, and L2-Wavelet Generators with Fractional Scales

Daniel Alpay Department of Mathematics, Ben Gurion University of the Negev, Be'er Sheva, IsraelCorrespondence[email protected]
&
Palle Jorgensen Department of Mathematics, University of Iowa, Iowa City, IA, USA
Pages 1239-1285 | Received 15 Dec 2014, Accepted 11 Jun 2015, Published online: 29 Sep 2015

Citations (20)

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Palle Jorgensen & James Tian. (2020) Noncommutative Boundaries Arising in Dynamics and Representations of the Cuntz Relations. Numerical Functional Analysis and Optimization 41:5, pages 571-620.
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Articles from other publishers (19)

Daniel Alpay & Palle Jorgensen. (2023) Transfer operators and conditional expectations: the non-commutative case, the case of mu-Brownian motions and white noise space setting. Banach Journal of Mathematical Analysis 18:1.
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Sergey Bezuglyi & Palle E. T. Jorgensen. (2023) New Hilbert Space Tools for Analysis of Graph Laplacians and Markov Processes. Complex Analysis and Operator Theory 17:7.
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Josef Dick, Martin Ehler, Manuel Gräf & Christian Krattenthaler. (2023) Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold. Constructive Approximation 57:3, pages 983-1026.
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Ilwoo Cho & Hemen Dutta. 2023. Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law. Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law 137 150 .
Ilwoo Cho & Hemen Dutta. 2023. Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law. Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law 111 136 .
Ilwoo Cho & Hemen Dutta. 2023. Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law. Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law 1 20 .
Palle E. T. Jorgensen & James Tian. 2023. Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis. Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis 171 216 .
Daniel Alpay, Palle Jorgensen & Motke Porat. (2022) White noise space analysis and multiplicative change of measures. Journal of Mathematical Physics 63:4.
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Palle Jorgensen & James Tian. (2022) Reproducing kernels and choices of associated feature spaces, in the form of L2-spaces. Journal of Mathematical Analysis and Applications 505:2, pages 125535.
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Palle Jorgensen & James Tian. (2021) Reproducing kernels: Harmonic analysis and some of their applications. Applied and Computational Harmonic Analysis 52, pages 279-302.
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Palle Jorgensen & James Tian. (2021) Harmonic analysis of network systems via kernels and their boundary realizations. Discrete and Continuous Dynamical Systems - Series S 0:0, pages 0.
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Ilwoo Cho. (2020) Certain $*$-homomorphisms acting on unital $C^{*}$-probability spaces and semicircular elements induced by $p$-adic number fields over primes $p$. Electronic Research Archive 28:2, pages 739-776.
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Ilwoo Cho & Palle Jorgensen. 2020. Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory. Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory 229 285 .
Ilwoo Cho. (2019) Asymptotic Semicircular Law Induced by p-Adic Number Fields $$\mathbb {Q}_{p}$$ Q p Over Primes. Complex Analysis and Operator Theory 13:7, pages 3169-3206.
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Ilwoo Cho. (2019) Asymptotic Semicircular Laws Induced by p-Adic Number Fields Qp and C-Algebras over Primes p*. Symmetry 11:6, pages 819.
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Palle E.T. Jorgensen & Erin P.J. Pearse. (2019) Continuum versus discrete networks, graph Laplacians, and reproducing kernel Hilbert spaces. Journal of Mathematical Analysis and Applications 469:2, pages 765-807.
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Palle Jorgensen, Karl-Hermann Neeb & Gestur Ólafsson. (2018) Reflection Negative Kernels and Fractional Brownian Motion. Symmetry 10:6, pages 191.
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Sergey Bezuglyi & Palle E. T. JorgensenSergey Bezuglyi & Palle E. T. Jorgensen. 2018. Transfer Operators, Endomorphisms, and Measurable Partitions. Transfer Operators, Endomorphisms, and Measurable Partitions 1 12 .
Palle Jorgensen & Feng Tian. (2016) Infinite-dimensional Lie Algebras, Representations, Hermitian Duality and the Operators of Stochastic Calculus. Axioms 5:2, pages 12.
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