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Akademický článek
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Publikováno v:
Journal of Operator Theory. 83(2)
We generalise the classical Weyl pseudo-differential calculus on Rd to the setting of two d-tuples of operators A = (A1,..., Ad) and B = (B1,..., Bd) acting on a Banach space generating bounded C0-groups satisfying the Weyl canonical commutation rela
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dris___00893::c890404580c29b1b0eb5178713d6363c
https://doi.org/10.7900/jot.2018jun13.2250
https://doi.org/10.7900/jot.2018jun13.2250
Autor:
van Neerven, J.M.A.M., Portal, Pierre
Publikováno v:
Journal of Operator Theory, 83(2)
We generalise the classical Weyl pseudo-differential calculus on Rd to the setting of two d-tuples of operators A = (A1,..., Ad) and B = (B1,..., Bd) acting on a Banach space generating bounded C0-groups satisfying the Weyl canonical commutation rela
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=narcis______::cd3c0e67907c91151c578a50ed909917
http://resolver.tudelft.nl/uuid:169f6303-3056-4e3f-bf09-e9dec9481e89
http://resolver.tudelft.nl/uuid:169f6303-3056-4e3f-bf09-e9dec9481e89
Autor:
Jonathan Gantner, Fabrizio Colombo
Publikováno v:
Milan Journal of Mathematics. 86:225-303
In this paper we show how the spectral theory based on the notion of S-spectrum allows us to study new classes of fractional diffusion and of fractional evolution processes. We prove new results on the quaternionic version of the $${H^\infty}$$ funct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ac231682632dbcd700507cfead1abb5
https://doi.org/10.1007/s00032-018-0287-z
https://doi.org/10.1007/s00032-018-0287-z
Autor:
Moritz Egert
Publikováno v:
Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2018, 265 (4), pp.1279-1323. ⟨10.1016/j.jde.2018.04.002⟩
Journal of Differential Equations, Elsevier, In press
Journal of Differential Equations, Elsevier, 2018, 265 (4), pp.1279-1323. ⟨10.1016/j.jde.2018.04.002⟩
Journal of Differential Equations, Elsevier, In press
This article focuses on Lp-estimates for the square root of elliptic systems of second order in divergence form on a bounded domain. We treat complex bounded measurable coefficients and allow for mixed Dirichlet/Neumann boundary conditions on domains
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c7b57e76b6cb898c4a5eaefd87ecf37
https://doi.org/10.1016/j.jde.2018.04.002
https://doi.org/10.1016/j.jde.2018.04.002
Autor:
Jan van Neerven, Rik Versendaal
Publikováno v:
Journal of Geometric Analysis, 28(4)
We prove $R$-bisectoriality and boundedness of the $H^\infty$-functional calculus in $L^p$ for all $1
Comment: 23 pages, submitted for publication
Comment: 23 pages, submitted for publication
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c661bdd979f9eef1fdbfdc1a62f2dc5
https://doi.org/10.1007/s12220-017-9947-4
https://doi.org/10.1007/s12220-017-9947-4
Publikováno v:
Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics ISBN: 9783319184937
Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics, 483-489
STARTPAGE=483;ENDPAGE=489;TITLE=Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics
Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics, 483-489
STARTPAGE=483;ENDPAGE=489;TITLE=Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics
In this short note we use ideas from systems theory to define a functional calculus for infinitesimal generators of strongly continuous semigroups on a Hilbert space. Among others, we show how this leads to new proofs of (known) results in functional
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::055a22be62ef376d4ba0c5a5e7906535
https://doi.org/10.1007/978-3-319-18494-4_28
https://doi.org/10.1007/978-3-319-18494-4_28
In this paper we extend the H ∞ functional calculus to quaternionic operators and to n-tuples of noncommuting operators using the theory of slice hyperholomorphic functions and the associated functional calculus, called S-functional calculus. The S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eeec7d273f634d44246167b3cba53934
http://hdl.handle.net/11311/1007251
http://hdl.handle.net/11311/1007251
Autor:
Jan van Neerven, Jan Maas
Publikováno v:
Journal of Functional Analysis. 257(8):2410-2475
Let (E,H,mu) be an abstract Wiener space and let D_V := VD, where D denotes the Malliavin derivative and V is a closed and densely defined operator from H into another Hilbert space G. Given a bounded operator B on G, coercive on the closure of the r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c33dd17ea5db2ecee58dbe674df71e8f