Quadratic inequalities deduced from the theory of reproducing kernels

DOI10.1016/S0024-3795(87)90322-3zbMath0619.15015MaRDI QIDQ1089414

Saburou Saitoh

Publication date: 1987

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

reproducing kernelpositive definite Hermitian matrixfunctional Hilbert spacequadratic inequalitiesAronszajn theory

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Kernel functions in one complex variable and applications (30C40)

Related Items (2)

The isometric identities and inversion formulas of complex continuous wavelet transforms ⋮ Quadratic inequalities associated with integrals of reproducing kernels

Cites Work

• Unnamed Item
• Norm inequalities of exponential type for holomorphic functions
• Positive definite Hermitian matrices and reproducing kernels
• Some inequalities for analytic functions with a finite Dirichlet integral on the unit disc
• Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
• Some Inequalities for Entire Functions
• A Dirichlet Norm Inequality and Some Inequalities for Reproducing Kernel Spaces
• Theory of Reproducing Kernels

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