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RKHSReproducing Kernel Hilbert Space
RKHSRufus King High School (Milwaukee, WI)
RKHSRokitansky-Kuster-Hauser Syndrome (vaginal malformation)
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H], where H is the reproducing kernel Hilbert space as defined in Section 2.
The error analysis can be studied in different function spaces instead of reproducing kernel Hilbert space.
psi]] will now prove helpful; see [20, 22, 30], with regard to application of reproducing kernel Hilbert spaces in sampling theory.
Walter, General sampling theorems for functions in reproducing kernel Hilbert spaces, Math.
Principe, "A reproducing kernel Hilbert space framework for information-theoretic learning," IEEE Transactions on Signal Processing, vol.
15] Grace Wahba, Support vector machines, reproducing kernel Hilbert spaces and the Randomized GACV, In B.
See also [5] for an abstract setting of the oversampling and recovering of missing samples in general reproducing kernel Hilbert spaces.
2 follows from a result in [5] in which oversampling is handled in the abstract setting on general reproducing kernel Hilbert spaces.
Key words and phrases : Sampling, Reproducing Kernel Hilbert space, oversampling
is called a reproducing kernel Hilbert space (RKHS in short) if there exists a function k(s, t) on D x D satisfying
offer more than 100 exercise while covering linear spaces, topological spaces, metric spaces, normed linear spaces and Banach spaces, inner product spaces and Hilbert spaces, linear functionals, types of convergence in function space, reproducing kernel Hilbert spaces, order relations in function spaces, operators in function space, completely continuous operators, approximation methods for linear operator equations, interval methods for operator equations, contraction mappings and iterative methods, Newton's method in Banach spaces, variants of Newton's methods, and homotopy and continuation methods and a hybrid method for a free-boundary problem.
A unified view is obtained from representations in Reproducing Kernel Hilbert Spaces (Nashed and Walter [32,33], and Yao [41]).