Separability of reproducing kernel spaces
Proceedings of the American Mathematical Society, 2016 We demonstrate that a reproducing kernel Hilbert or Banach space of functions on a separable absolute Borel space or an analytic subset of a Polish space is separable if it possesses a Borel measurable feature ...
Owhadi, Houman, Scovel, Clint
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Reproducing Kernel Hilbert Spaces [PDF]
, 2019 This chapter introduces an elegant mathematical theory that has been developed for nonparametric regression with penalized estimation.
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Generalized Mercer Kernels and Reproducing Kernel Banach Spaces [PDF]
Memoirs of the American Mathematical
Society, 2019 128 pages and 4 ...
Xu, Yuesheng, Ye, Qi
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Representations of $*$-semigroups associated to invariant kernels with values adjointable operators. I [PDF]
, 2015 We consider positive semidefinite kernels valued in the $*$-algebra of adjointable operators on a VE-space (Vector Euclidean space) and that are invariant under actions of $*$-semigroups.
Ay, Serdar, Gheondea, Aurelian
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Factorizations of Kernels and Reproducing Kernel Hilbert Spaces [PDF]
Integral Equations and Operator Theory, 2017 The paper discusses a series of results concerning reproducing kernel Hilbert spaces, related to the factorization of their kernels. In particular, it is proved that for a large class of spaces isometric multipliers are trivial. One also gives for certain spaces conditions for obtaining a particular type of dilation, as well as a classification of ...
Kumari, Rani +3 more
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Some Hilbert spaces related with the Dirichlet space [PDF]
, 2016 We study the reproducing kernel Hilbert space with kernel kd , where d is a positive integer and k is the reproducing kernel of the analytic Dirichlet ...
Arcozzi +5 more
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Path Integrals on Euclidean Space Forms [PDF]
, 2015 In this paper we develop a quantization method for flat compact manifolds based on path integrals. In this method the Hilbert space of holomorphic functions in the complexification of the manifold is used. This space is a reproducing kernel Hilbert space.
Capobianco, Guillermo, Reartes, Walter
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Noncanonical Quantization of Gravity. I. Foundations of Affine Quantum Gravity [PDF]
, 1999 The nature of the classical canonical phase-space variables for gravity suggests that the associated quantum field operators should obey affine commutation relations rather than canonical commutation relations. Prior to the introduction of constraints, a
DeWitt B. S. +3 more
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Solving Support Vector Machines in Reproducing Kernel Banach Spaces with Positive Definite Functions
, 2013 In this paper we solve support vector machines in reproducing kernel Banach spaces with reproducing kernels defined on nonsymmetric domains instead of the traditional methods in reproducing kernel Hilbert spaces.
Adams +32 more
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Statistical properties of the method of regularization with periodic Gaussian reproducing kernel [PDF]
, 2004 The method of regularization with the Gaussian reproducing kernel is popular in the machine learning literature and successful in many practical applications. In this paper we consider the periodic version of the Gaussian kernel regularization.
Brown, Lawrence D., Lin, Yi
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