2013, De Gruyter studies in mathematics, ISBN 9783110263404, Volume 49, xi, 372

Book

2005, Princeton lectures in analysis, ISBN 9787506282383, Volume 3, xix, 402 pages

Book

07/2020, Graduate Texts in Mathematics, ISBN 9783030463656, Volume 285

eBook

2006, ISBN 9789812566164, x, 248

Book

2014, 2015, UNITEXT for Physics, ISBN 3319037129, 267

ThisÂ introduction to Hilbert space will equip the reader for more demanding further study...

Hilbert space | Metric spaces | Topological spaces | Mathematical Methods in Physics | Functional Analysis | Algebraic Topology | Physics and Astronomy | Physics

Hilbert space | Metric spaces | Topological spaces | Mathematical Methods in Physics | Functional Analysis | Algebraic Topology | Physics and Astronomy | Physics

eBook

The European physical journal. C, Particles and fields, ISSN 1434-6044, 11/2018, Volume 78, Issue 11, pp. 1 - 10

We discuss properties of fuzzy deÂ Sitter space defined by means of algebra of the de...

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | Physical Sciences | Physics, Particles & Fields | Science & Technology | Algebra | Hilbert space | Representations | Physics - High Energy Physics - Theory

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | Physical Sciences | Physics, Particles & Fields | Science & Technology | Algebra | Hilbert space | Representations | Physics - High Energy Physics - Theory

Journal Article

2016, Volume 679

General theory of linear operators | Other Dirichlet series and zeta functions | Completeness of eigenfunctions, eigenfunction expansions | Analytic functions | Functions of a complex variable | Partial differential equations | Spaces and algebras of analytic functions | Cyclic vectors, hypercyclic and chaotic operators | Bounded analytic functions | Spectral theory and eigenvalue problems | Operator theory | Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) | Special classes of linear operators | Bergman spaces, Fock spaces | Analytic spaces | Zeta and $L$-functions: analytic theory | Number theory

Conference Proceeding

2006, ISBN 9812565639, x, 136

Book

2020, ISBN 1786302675, 260

At the nexus of probability theory, geometry and statistics, a Gaussian measure is constructed on a Hilbert space in two ways...

eBook

Scientific reports, ISSN 2045-2322, 03/2017, Volume 7, Issue 1, pp. 44995 - 44995

.... In contrast, when analyzing a beam in a Hilbert space spanned by spatial modes-a critical task for spatial-mode multiplexing and quantum communication-basis-specific principles are invoked...

Science & Technology - Other Topics | Multidisciplinary Sciences | Science & Technology | Polarization | Optics | Hilbert space | Quantum theory | Interferometry

Science & Technology - Other Topics | Multidisciplinary Sciences | Science & Technology | Polarization | Optics | Hilbert space | Quantum theory | Interferometry

Journal Article

2014, Cambridge tracts in mathematics, ISBN 1107047528, Volume 203, xiii, 211

The Dirichlet space is one of the three fundamental Hilbert spaces of holomorphic functions on the unit disk...

Dirichlet principle | Holomorphic functions | Functions of complex variables

Dirichlet principle | Holomorphic functions | Functions of complex variables

Book

New journal of physics, ISSN 1367-2630, 09/2015, Volume 17, Issue 9, p. 093039

.... Our approach is based on the block diagonalization of the quasienergy operator in the extended Floquet Hilbert space by means of degenerate perturbation theory...

Floquet theory | ultracold quantum gases | quantum engineering | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Perturbation theory | Broken symmetry | Hilbert space | Approximation | Mathematical analysis | System effectiveness | Operators | Equivalence | Blocking | Quantum theory

Floquet theory | ultracold quantum gases | quantum engineering | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Perturbation theory | Broken symmetry | Hilbert space | Approximation | Mathematical analysis | System effectiveness | Operators | Equivalence | Blocking | Quantum theory

Journal Article

Soft computing (Berlin, Germany), ISSN 1433-7479, 05/2015, Volume 20, Issue 8, pp. 3283 - 3302

.... The analytic and approximate solutions are given with series form in terms of their parametric form in the space
$$W_2^2 [a,b]\oplus W_2^2 [a,b].$$
W
2
2
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a
,
b
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W
2
2
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Engineering | Computational Intelligence | Gramâ€“Schmidt process | Control, Robotics, Mechatronics | Reproducing kernel Hilbert space method | Artificial Intelligence (incl. Robotics) | Mathematical Logic and Foundations | Strongly generalized differentiability | Fuzzy differential equations | Computer Science, Artificial Intelligence | Computer Science, Interdisciplinary Applications | Technology | Computer Science | Science & Technology | Methods | Differential equations | Resveratrol

Engineering | Computational Intelligence | Gramâ€“Schmidt process | Control, Robotics, Mechatronics | Reproducing kernel Hilbert space method | Artificial Intelligence (incl. Robotics) | Mathematical Logic and Foundations | Strongly generalized differentiability | Fuzzy differential equations | Computer Science, Artificial Intelligence | Computer Science, Interdisciplinary Applications | Technology | Computer Science | Science & Technology | Methods | Differential equations | Resveratrol

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 11/2017, Volume 32, Issue 33, p. 1750190

...) has a Lorentz invariant spaceâ€“time structure in order to be considered as a candidate to understand the physics of the early Universe...

electroweak standard model | DFR noncommutativity | Physical Sciences | Physics, Nuclear | Physics, Particles & Fields | Physics | Science & Technology | Physics - High Energy Physics - Theory

electroweak standard model | DFR noncommutativity | Physical Sciences | Physics, Nuclear | Physics, Particles & Fields | Physics | Science & Technology | Physics - High Energy Physics - Theory

Journal Article

Mathematical programming, ISSN 0025-5610, 1/2019, Volume 173, Issue 1, pp. 221 - 249

.... We assume that the optimization variables are in a bounded subset of a Hilbert space, and we determine worst-case run-time bounds for the algorithm under certain regularity conditions of the cost...

Branch-and-lift | Theoretical, Mathematical and Computational Physics | Complete search | Mathematics | 90C26 | Convergence analysis | Mathematical Methods in Physics | Complexity analysis | 49M30 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Infinite-dimensional optimization | 65K10 | Combinatorics | 93B40 | Operations Research & Management Science | Physical Sciences | Technology | Computer Science | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Global optimization | Hilbert space | Algorithms | Search algorithms | Run time (computers) | Calculus of variations | Full Length Paper

Branch-and-lift | Theoretical, Mathematical and Computational Physics | Complete search | Mathematics | 90C26 | Convergence analysis | Mathematical Methods in Physics | Complexity analysis | 49M30 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Infinite-dimensional optimization | 65K10 | Combinatorics | 93B40 | Operations Research & Management Science | Physical Sciences | Technology | Computer Science | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Global optimization | Hilbert space | Algorithms | Search algorithms | Run time (computers) | Calculus of variations | Full Length Paper

Journal Article

16.
Full Text
Single-Image Super-Resolution via an Iterative Reproducing Kernel Hilbert Space Method

IEEE transactions on circuits and systems for video technology, ISSN 1051-8215, 11/2016, Volume 26, Issue 11, pp. 2001 - 2014

.... We model the smooth components of an image using a thin-plate reproducing kernel Hilbert space and the edges using approximated Heaviside functions...

Interpolation | Image resolution | Image edge detection | iterative reproducing kernel Hilbert space (RKHS) | Hilbert space | single-image super-resolution (SR) | Heaviside function | Splines (mathematics) | Kernel | Signal resolution | thin-plate spline | Iterative RKHS | Thin-plate spline | Single image super-resolution | Engineering, Electrical & Electronic | Engineering | Technology | Science & Technology | Research | Kernels | Satellite imagery | Mathematical analysis | Image enhancement | iterative RKHS

Interpolation | Image resolution | Image edge detection | iterative reproducing kernel Hilbert space (RKHS) | Hilbert space | single-image super-resolution (SR) | Heaviside function | Splines (mathematics) | Kernel | Signal resolution | thin-plate spline | Iterative RKHS | Thin-plate spline | Single image super-resolution | Engineering, Electrical & Electronic | Engineering | Technology | Science & Technology | Research | Kernels | Satellite imagery | Mathematical analysis | Image enhancement | iterative RKHS

Journal Article