Search Results - "Hilbert spaces of continuous, differentiable or analytic functions"

About Sobolev spaces on fractals: fractal gradians and Laplacians

Authors: Golmankhaneh, Alireza Khali Jørgensen, Palle E. T. Serpa, Cristina et al.

Source: Aequationes mathematicae. 99:465-490

Subject Terms: Sobolev (and similar kinds of) spaces of functions on metric spaces, analysis on metric spaces, Fractals, fractal Laplace operator, fractal Lipschitz continuity, fractal Sobolev spaces, Differentiable functions on analytic spaces, differentiable spaces, \(L^p\)-spaces and other function spaces on groups, semigroups, etc, Hilbert spaces of continuous, differentiable or analytic functions, Weak solutions to PDEs, fractal weak derivative

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Access URL: https://zbmath.org/8032536
https://doi.org/10.1007/s00010-024-01060-6

Norm-Preserving Holomorphic Expansions of Random Functions on Unitary Matrix Groups: Norm-preserving holomorphic expansions of random functions on unitary matrix groups

Authors: Oleh Lopushansky

Source: Complex Analysis and Operator Theory. 19

Subject Terms: Holomorphic maps in nonlinear functional analysis, Harmonic analysis on homogeneous spaces, Fock calculus, Hilbert-Schmidt holomorphy, Schur-Weyl duality, Hilbert spaces of continuous, differentiable or analytic functions, Applications of functional analysis in probability theory and statistics, Gaussian variables on groups

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Access URL: https://zbmath.org/8033583
https://doi.org/10.1007/s11785-025-01674-x

Two complete and minimal systems associated with the zeros of the Riemann zeta function

Authors: Jean-Francois Burnol

Source: Journal de théorie des nombres de Bordeaux. 16:65-94

Subject Terms: Mathematics - Number Theory, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, \(\zeta (s)\) and \(L(s, \chi)\), FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, 01 natural sciences

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Access URL: http://almira.math.u-bordeaux.fr/jtnb/2004-1/Burnol.pdf
http://arxiv.org/abs/math/0203120
https://jtnb.centre-mersenne.org/item/10.5802/jtnb.434.pdf
https://www.emis.de/journals/JTNB/2004-1/Burnol.pdf
http://core.ac.uk/display/21221841
https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.434/
https://eudml.org/doc/249278
http://www.numdam.org/item/JTNB_2004__16_1_65_0/

The core operator and congruent submodules

Authors: Rongwei Yang

Source: Journal of Functional Analysis. 228:469-489

Subject Terms: Several-variable operator theory (spectral, Fredholm, etc.), congruence, core operator, Hardy space over the bidisk, Hilbert-Schmidt submodule, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, Hardy space over thebidisk, 01 natural sciences, Analysis

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Access URL: https://core.ac.uk/display/81195826
https://www.sciencedirect.com/science/article/abs/pii/S0022123605002880
https://www.sciencedirect.com/science/article/pii/S0022123605002880

On the index of invariant subspaces in spaces of analytic functions of several complex variables

Authors: Carl Sundberg Jim Gleason Stefan Richter

Source: Journal für die reine und angewandte Mathematik (Crelles Journal). 2005:49-76

Subject Terms: essential Taylor spectrum, Invariant subspaces of linear operators, invariant subspace, Arveson's curvature invariant, Several-variable operator theory (spectral, Fredholm, etc.), reproducing kernel, Hardy space, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)), fiber dimension, 01 natural sciences

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Access URL: https://zbmath.org/2222444
https://doi.org/10.1515/crll.2005.2005.587.49
https://www.degruyter.com/view/j/crll.2005.2005.issue-587/crll.2005.2005.587.49/crll.2005.2005.587.49.xml

HILBERT SPACE OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE MODIFIED BESSEL FUNCTION AND RELATED ORTHOGONAL POLYNOMIALS: Hilbert space of analytic functions associated with the modified Bessel function and related orthogonal polynomials

Authors: Nobuhiro Asai

Source: Infinite Dimensional Analysis, Quantum Probability and Related Topics. :505-514

Subject Terms: Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), modified Bessel function, Noncommutative probability and statistics, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, Hilbert space of analytic functions, one-mode interacting Fock space, orthogonal polynomials, 01 natural sciences

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Access URL: https://www.worldscientific.com/doi/abs/10.1142/S0219025705002098

Cyclic vectors in the Fock space over the complex plane

Authors: Kou Hei Izuchi

Source: Proceedings of the American Mathematical Society. 133:3627-3630

Subject Terms: cyclic vectors, Cyclic vectors, hypercyclic and chaotic operators, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, 01 natural sciences, Fock space

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Access URL: https://www.ams.org/proc/2005-133-12/S0002-9939-05-07938-4/S0002-9939-05-07938-4.pdf
https://zbmath.org/2199877
https://doi.org/10.1090/s0002-9939-05-07938-4
https://dialnet.unirioja.es/servlet/articulo?codigo=1377322
https://www.ams.org/proc/2005-133-12/S0002-9939-05-07938-4/S0002-9939-05-07938-4.pdf
https://www.ams.org/journals/proc/2005-133-12/S0002-9939-05-07938-4/

INVARIANT SUBSPACES AND HANKEL-TYPE OPERATORS ON A BERGMAN SPACE: Invariant subspaces and Hankel-type operators on a Bergman space

Authors: Nakazi, Takahiko Osawa, Tomoko

Source: Proceedings of the Edinburgh Mathematical Society. 48:479-484

Subject Terms: Invariant subspaces of linear operators, invariant subspace, intermediate Hankel operator, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Bergman space, Hankel type operator, weakly divisible subspace, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, Hankel-type operator, 01 natural sciences

File Description: application/xml

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D0F81AAD5D0B162FF14191CAFC296653/S001309150400032Xa.pdf/div-class-title-invariant-subspaces-and-hankel-type-operators-on-a-bergman-space-div.pdf

On some problems related to Berezin symbols

Authors: Karaev, MT

Source: Comptes Rendus. Mathématique. 340:715-718

Subject Terms: reproducing kernels, Linear operators on function spaces (general), Kernel functions in one complex variable and applications, Bergman space, Beurling theorem, Hardy space, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Berezin symbols, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, radial boundary values, 01 natural sciences, \(H^p\)-classes

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Access URL: https://zbmath.org/2182147
https://doi.org/10.1016/j.crma.2005.04.021
https://www.sciencedirect.com/science/article/pii/S1631073X05001627
http://www.sciencedirect.com/science/article/pii/S1631073X05001627
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/92173

The Density Problem for Self–Commutators of Unbounded Bergman Operators: The density problem for self-commutators of unbounded Bergman operators

Authors: James E. Thomson Sherwin Kouchekian

Source: Integral Equations and Operator Theory. 52:135-147

Subject Terms: density problem, unbounded Bergman operators, Linear operators on function spaces (general), Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, self-commutator, 01 natural sciences

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Access URL: https://link.springer.com/content/pdf/10.1007%2Fs00020-002-1273-x.pdf
https://link.springer.com/article/10.1007/s00020-002-1273-x

COMPLEMENTED INVARIANT SUBSPACES IN BERGMAN SPACES: Complemented invariant subspaces in Bergman spaces

Authors: Kehe Zhu Boris Korenblum

Source: Journal of the London Mathematical Society. 71:467-480

Subject Terms: Invariant subspaces of linear operators, interpolating sequences, complemented invariant subspaces, oro-coordinates, Bergman spaces, Blaschke products, etc, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, 01 natural sciences, \(H^p\)-classes

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Access URL: https://dialnet.unirioja.es/servlet/articulo?codigo=2207214
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0024610704006180
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610704006180
https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/complemented-invariant-subspaces-in-bergman-spaces/56C46AB64623D96CA002EC05D37761A7
https://documat.unirioja.es/servlet/articulo?codigo=2207214

Approximation and then-Berezin transform of operators on the Bergman space: Approximation and the \(n\)-Berezin transform of operators on the Bergman space

Authors: Suarez, Fernando Daniel

Source: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas

Subject Terms: Linear operator approximation theory, BEREZIN TRANSFORMS, Linear operators in algebras, TOEPLITZ OPERATORS, 01 natural sciences, Toeplitz algebra, Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.), Berezin transform, Toeplitz operator, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Bergman space, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, BERGMAN SPACE

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Access URL: https://ri.conicet.gov.ar/bitstream/11336/108528/2/CONICET_Digital_Nro.f71245b5-037e-4af9-8be8-83d82b9cf658_A.pdf
https://ri.conicet.gov.ar/handle/11336/108528
https://www.degruyter.com/document/doi/10.1515/crll.2005.2005.581.175/html
https://notablesdelaciencia.conicet.gov.ar/handle/11336/108528
https://ri.conicet.gov.ar/bitstream/11336/108528/2/CONICET_Digital_Nro.f71245b5-037e-4af9-8be8-83d82b9cf658_A.pdf
http://hdl.handle.net/11336/108528

Norms and spectral radii of composition operators acting on the Dirichlet space

Authors: Dragan Vukotić María J. Martín

Source: Journal of Mathematical Analysis and Applications. 304:22-32

Subject Terms: spectral radius, Hyperbolic metric, Applied Mathematics, Linear composition operators, Norms (inequalities, more than one norm, etc.) of linear operators, 01 natural sciences, Dirichlet space, hyperbolic metric, operator norm, Operator norm, composition operator, Spaces of bounded analytic functions of one complex variable, Composition operator, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, Spectral radius, Analysis

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Access URL: https://zbmath.org/2157551
https://doi.org/10.1016/j.jmaa.2004.09.005
http://www.sciencedirect.com/science/article/pii/S0022247X0400736X
http://ui.adsabs.harvard.edu/abs/2005JMAA..304...22M/abstract
https://www.sciencedirect.com/science/article/pii/S0022247X0400736X
https://core.ac.uk/display/81120089

Finite Rank Hankel Operators over the Complex Wiener Space: Finite rank Hankel operators over the complex Wiener space

Authors: Thomas Deck

Source: Potential Analysis. 22:85-100

Subject Terms: holomorphic Wiener functions, finite rank property, small Hankel operators, Toeplitz operators, Hankel operators, Wiener-Hopf operators, chaos expansions, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2168220
https://doi.org/10.1007/s11118-003-6458-7
https://link.springer.com/content/pdf/10.1007/s11118-003-6458-7.pdf
https://link.springer.com/article/10.1007/s11118-003-6458-7

HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE: Hyponormal Toeplitz operators on the Bergman space

Authors: Hwang In Sung

Source: Journal of the Korean Mathematical Society. 42:387-403

Subject Terms: hyponormal operator, Toeplitz operator, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Bergman space, 0101 mathematics, Subnormal operators, hyponormal operators, etc, Hilbert spaces of continuous, differentiable or analytic functions, 01 natural sciences

File Description: application/xml

Access URL: http://www.ndsl.kr/soc_img/society/kms/DBSHBB/2005/v42n2/DBSHBB_2005_v42n2_387.pdf
https://zbmath.org/2162798
https://doi.org/10.4134/jkms.2005.42.2.387
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2005_v42n2_387

On a weighted Toeplitz operator and its commutant

Authors: Vasile Lauric

Source: International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 6, Pp 823-835 (2005)

Subject Terms: weighted Toeplitz operator, QA1-939, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Commutators, derivations, elementary operators, etc, commutant, compact operator, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, 01 natural sciences, Mathematics, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)

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Access URL: https://downloads.hindawi.com/journals/ijmms/2005/109089.pdf
https://zbmath.org/2220807
https://doi.org/10.1155/ijmms.2005.823
https://doaj.org/article/b331a41e7ddf4d539866a813412718c8
http://downloads.hindawi.com/journals/ijmms/2005/109089.pdf
https://www.hindawi.com/journals/ijmms/2005/109089/
https://downloads.hindawi.com/journals/ijmms/2005/109089.pdf
https://dblp.uni-trier.de/db/journals/ijmmsc/ijmmsc2005.html#Lauric05
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.385.1987&rep=rep1&type=pdf

ALGEBRAS DENSE IN $L^2$ SPACES: AN OPERATOR APPROACH: Algebras dense in \(L^2\) spaces: an operator approach

Authors: Wojtylak, Michał

Source: Glasgow Mathematical Journal. 47:155-165

Subject Terms: Linear operator approximation theory, Linear symmetric and selfadjoint operators (unbounded), Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), unbounded operator, Hermitian and normal operators (spectral measures, functional calculus, etc.), 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, approximation, 01 natural sciences, \(L^2\) space, finite measure space

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Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/22F5719A47B312CA7889235D019743D8/S0017089504002216a.pdf/div-class-title-algebras-dense-in-l-2-spaces-an-operator-approach-div.pdf
http://www.journals.cambridge.org/abstract_S0017089504002216
https://ruj.uj.edu.pl/xmlui/handle/item/82042

Toeplitz operators on the Dirichlet space

Authors: Young Joo Lee Johannes J. Duistermaat

Source: Journal of Mathematical Analysis and Applications. 300:54-67

Subject Terms: Applied Mathematics, Wiskunde en computerwetenschappen, 01 natural sciences, Dirichlet space, Landbouwwetenschappen, Toeplitz operator, Wiskunde: algemeen, harmonic symbol, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Wiskunde en Informatica (WIIN), 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, Mathematics, Toeplitz operators, Analysis

File Description: application/xml

Access URL: https://zbmath.org/2137689
https://doi.org/10.1016/j.jmaa.2004.05.031
https://research-portal.uu.nl/en/publications/24c3f84d-162d-4a14-99e1-8c916e8596e7
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04004561
https://www.sciencedirect.com/science/article/pii/S0022247X04004561
https://core.ac.uk/display/82051217

Nearly Invariant Subspaces Related to Multiplication Operators in Hilbert Spaces of Analytic Functions: Nearly invariant subspaces related to multiplication operators in Hilbert spaces of analytic functions

Authors: Christophe Erard

Source: Integral Equations and Operator Theory. 50:197-210

Subject Terms: nearly invariant subspaces, Invariant subspaces of linear operators, Zero sets of holomorphic functions of several complex variables, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Hilbert space, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, multiplication operators, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/s00020-003-1292-2
https://link.springer.com/content/pdf/10.1007/s00020-003-1292-2.pdf

On the regularity of the electronic Schr�dinger equation in Hilbert spaces of mixed derivatives: On the regularity of the electronic Schrödinger equation in Hilbert spaces of mixed derivatives

Authors: Harry Yserentant

Source: Numerische Mathematik. 98:731-759

Subject Terms: wavefunctions, regularity, Smoothness and regularity of solutions to PDEs, Multidimensional problems, approximation methods, 01 natural sciences, quantum chemistry, Coulomb interaction, derivatives, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, Electromagnetic interaction, quantum electrodynamics, PDEs in connection with quantum mechanics, Selfadjoint operator theory in quantum theory, including spectral analysis

File Description: application/xml

Access URL: https://zbmath.org/2130150
https://doi.org/10.1007/s00211-003-0498-1