Keywords: Reproducing kernel hilbert space method; Fractional differential equations with non-local and non-singular kernel; Reproducing kernel functions; 34A08; 46C05; 46E22;
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Keywords: Singular two-point boundary value problem; Dirichlet boundary conditions; Polynomial reproducing kernel; Chebyshev polynomials; Convergence; Error estimation; 46E22; 35C10; 65L10; 65L11;
Keywords: primary; 46E22; 47A13; secondary; 47B20; 47B32; Operator-valued kernel; Wandering subspace property; Analytic operator; Wold-type decomposition;
Keywords: primary; 46B15; secondary; 30C40; 30H20; 42C15; 46E22; Gabor systems; Fock spaces; Complete and minimal systems; Spectral synthesis;
Keywords: 94A20; 46E22; Average sampling; Quasi-optimal approximation; Homogeneous type; Reproducing kernel space; Iterative algorithm;
Keywords: primary; 47A13; secondary; 46E22; 47A15; 47A20; 47A45; Dilations; Joint invariant subspaces; Wandering subspaces; Drury-Arveson space; Reproducing kernel Hilbert spaces; Multipliers; Inner functions;
Keywords: primary; 42C05; secondary; 33C15; 46E22; Orthogonal polynomials; Universality; Reproducing kernels; Christoffel functions; Confluent hypergeometric functions;
Keywords: 46E22; 47A65; 32Axx; 55Rxx; Cowen-Douglas operator; Localization; Quotient module; Curvature;
Keywords: 32A37; 47B35; 47B10; 46E22; Hardy spaces; Orlicz spaces; Atomic decomposition; Musielak-Orlicz spaces; Weak factorization; div-curl lemma;
Keywords: primary; 81R30; 46E22; Quaternion; Quantization; Coherent states; Lie algebra; Displacement operator;
Keywords: 47B65; 47L07; 46E22; 15A15; Infinite-dimensional Log-Determinant divergences; Positive definite operators; Trace class operators; Extended trace; Extended Fredholm determinant; Reproducing kernel Hilbert spaces; Gaussian measures on Hilbert spaces;
Keywords: primary; 81R30; 46E22; Quaternion; Coherent state; Reproducing kernel; Group representation; Direct integral;
Keywords: 94A20; 46E22; 65J22Sampling; Galerkin reconstruction; Oblique projection; Reproducing kernel space; Finite rate of innovation; Iterative approximation-projection algorithm
Keywords: 46E22; 60G15; 62L20; 65D05Kernel-based approximation; Meshfree method; Positive definite kernel; Gaussian field; Normal random variable; Kernel-based probability; Sobolev space; Gaussian kernel; Optimal shape parameter
Keywords: Hilbert function space; Reproducing kernel; Existence; Uniqueness; Convergence26A33; 46E22; 34A45
Keywords: primary; 46E22; secondary; 22E66; 47B32; 46L05; 18A05; Hermitian-like vector bundle; Reproducing kernel; Tautological bundle; Classifying morphism; Linear connection; Covariant derivative;
Keywords: 05C50; 46E22; Reproducing kernel Hilbert spaces; Graph; Laplacian matrix; Generalized inverse; Resistance distance;
Keywords: 35K35; 46E22; 35C15; 35K05; 65M15Local polynomial approximation; Moving least square reproducing kernel (MLSRK) method; Meshless local Petrov–Galerkin (MLPG) method; Maxwell equations; Error estimation; Electromagnetic equations
Keywords: 35J40; 46E22; 65N12Brinkman–Forchheimer momentum equation; Reproducing kernel method; Boundary value problem; Convergence analysis
Keywords: 47B32; 46E22; 74S30Reproducing kernel method; Series solutions; Fornberg–Whitham equations
Keywords: 32A10; 32A70; 46E22; 47A13; 47A20; 47A25; Symmetrized bidisk; Realization formula; Interpolation; Extension;
S-Spectrum and the quaternionic Cayley transform of an operator
Keywords: primary; 81R30; 46E22; Quaternions; Quaternionic Hilbert spaces; Symmetric operator; Cayley transform; S-spectrum;
Spline reproducing kernels on R and error bounds for piecewise smooth LBV problems
Keywords: Normal spline collocation method; Reproducing kernels; Linear boundary value problems; Integral boundary conditions; Sobolev spaces; Numerical solutions; interpolating splines; Ordinary differential equations; 34B05; 34B10; 46E22; 47B3;
Superconvergence of kernel-based interpolation
Keywords: 41A05; 41A30; 41A65; 65D05; 65D07; 42A82; 45C05; 46E22; 47B32; 35Sxx; RBF; Convergence; Error bounds; Boundary conditions; Pseudodifferential operators;
Factorizations induced by complete Nevanlinna-Pick factors
Keywords: primary; 46E22; secondary; 47B32; 30H15; Nevanlinna-Pick kernel; Multiplier; Factorization; Harmonic majorant;
Multiplier algebras of complete Nevanlinna-Pick spaces: Dilations, boundary representations and hyperrigidity
Keywords: primary; 47L55; secondary; 46E22; 47A13; Multiplier algebra; Nevanlinna-Pick space; Dilation; Boundary representation;
Cyclicity of reproducing kernels in weighted Hardy spaces over the bidisk
Keywords: primary; 47A15; 32A35; secondary; 46E22; 47A16; Hardy space over the bidisk; Singly generated invariant subspaces; Reproducing kernels in weighted Hardy spaces;
Sarason's Toeplitz product problem for a class of Fock spaces
Keywords: primary; 47B35; 30H20; secondary; 30H10; 46E22; Toeplitz operator; Fock spaces; Berezin transform; Sarason's conjecture; Sarason's problem; Two-weight norm inequalities;
Geometric conditions for multiple sampling and interpolation in the Fock space
Keywords: 30D55; 46C07; 46E22; 47B32; 47B35; Fock space; Multiple interpolation; Multiple sampling; Riesz basis;
Multiplication operators with deficiency indices (p,p) and sampling formulas in reproducing kernel Hilbert spaces of entire vector valued functions
Keywords: 46E22; 47B32; 47B25; 94A20; Vector valued de Branges spaces; Symmetric operators with deficiency indices (p,p); Entire operators; Sampling formulas;
CorrigendumCorrigendum to “Essential normality, essential norms and hyperrigidity” [J. Funct. Anal. 268 (2015) 2990-3016]
Keywords: 47A13; 47L30; 46E22; Essential normality; Hyperrigidity; Drury-Arveson space;
Cyclicity and invariant subspaces in Dirichlet spaces
Keywords: 46E22; 31A05; 31A15; 31A20; 47B32Dirichlet spaces; Capacity; Cyclic vector; Invariant subspace
Reproducing kernel almost Pontryagin spaces
Keywords: primary; 46C20; 46E40; secondary; 46E22; 54D35; Indefinite inner product; Almost Pontryagin space; Reproducing kernel; Completion; Degenerate inner product;
The Cauchy integral in CnCn for domains with minimal smoothness
Keywords: 30E20; 31A10; 32A26; 32A25; 32A50; 32A55; 42B20; 46E22; 47B34; 31B10Cauchy integral; T(1)T(1) theorem; Szegő projection; Strongly pseudo-convex domains; Linearly convex domains
Extremal functions in de Branges and Euclidean spaces
Keywords: 41A30; 46E22; 41A05; 41A63; Extremal functions; De Branges spaces; Exponential type; Laplace transform; Homogeneous spaces; Majorants;
The defect sequence for contractive tuples
Keywords: Primary: 46L07; Secondary: 46L08; 46E22; 46B20; Contractive tuples; Defect sequence; Defect dimensions; Maximal contractive tuples;
A generalized moving least square reproducing kernel method
Keywords: 35K35; 46E22; 35C15; 35K05; 65M15Polynomial reproduction; Moving least square method; Reproducing kernel method; Meshless methods
Positive kernels and quantization
Keywords: 81S10; 53D50; 46E22; 81R30Positive definite kernels; Quantization; Coherent state method
On the reproducing kernel of a Pontryagin space of vector valued polynomials
Keywords: 46C20; 46E22; 47A06; Polynomials; Generalized Nevanlinna pair; Pontryagin space; Reproducing kernel; Smith normal form; Forney indices; Symmetric operator; Defect number; Self-adjoint extension; Q-function;
Bases of reproducing kernels in de-Branges spaces
Keywords: 46E22; 47B32; 47B38; 30H05; 46J15; 46B15; de-Branges spaces; Riesz bases; Reproducing kernels;