Zobrazeno 1 - 10
of 44
pro vyhledávání: '"David P. Kimsey"'
Autor:
David P. Kimsey
Publikováno v:
Linear Algebra and its Applications. 645:170-193
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11e15da9e547aad6d0fb3f083a7cf9f9
https://doi.org/10.1016/j.laa.2022.03.017
https://doi.org/10.1016/j.laa.2022.03.017
Autor:
David P. Kimsey, Matina Trachana
Publikováno v:
Milan Journal of Mathematics. 90:17-101
We will consider the multidimensional truncated $$p \times p$$ p × p Hermitian matrix-valued moment problem. We will prove a characterisation of truncated $$p \times p$$ p × p Hermitian matrix-valued multisequence with a minimal positive semidefini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::985528d2c6bfea58eec553b6e2f02a70
https://doi.org/10.1007/s00032-021-00346-7
https://doi.org/10.1007/s00032-021-00346-7
Publikováno v:
Proceedings of the American Mathematical Society, Series B. 8:281-296
In this paper we define a new function theory of slice monogenic functions of a Clifford variable using the S S -functional calculus for Clifford numbers. Previous attempts of such a function theory were obstructed by the fact that Clifford algebras,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::511a8d8acba04f89974b364066cbab26
https://doi.org/10.1090/bproc/94
https://doi.org/10.1090/bproc/94
Autor:
Fabrizio Colombo, David P. Kimsey
Publikováno v:
Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis ISBN: 9783031214592
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a92e7e99dac8e4179b3014354fc1eaf9
https://doi.org/10.1007/978-3-031-21460-8_4
https://doi.org/10.1007/978-3-031-21460-8_4
Autor:
David P. Kimsey, Mihai Putinar
Publikováno v:
Mathematische Zeitschrift. 298:935-942
The power moments of a positive measure on the real line or the circle are characterized by the non-negativity of an infinite matrix, Hankel, respectively Toeplitz, attached to the data. Except some fortunate configurations, in higher dimensions ther
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::289f6500cc9a260d296bd24b0f6d14bf
https://doi.org/10.1007/s00209-020-02633-2
https://doi.org/10.1007/s00209-020-02633-2
Autor:
Fabrizio Colombo, David P. Kimsey
In this paper, using the recently discovered notion of the $S$-spectrum, we prove the spectral theorem for a bounded or unbounded normal operator on a Clifford module (i.e., a two-sided Hilbert module over a Clifford algebra based on units that all s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae3b5bc5702b3c7561cea1537e456e76
http://arxiv.org/abs/2112.05201
http://arxiv.org/abs/2112.05201
The spectral theory on the $S$-spectrum was born out of the need to give quaternionic quantum mechanics (formulated by Birkhoff and von Neumann) a precise mathematical foundation. Then it turned out that this theory has important applications in seve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05343a5cec8bd1fc1a64c76c703fc28f
http://arxiv.org/abs/2112.05204
http://arxiv.org/abs/2112.05204
Autor:
David P. Kimsey, Mihai Putinar
Publikováno v:
Computational Methods and Function Theory. 18:495-510
By interpreting a truncated moment problem in two real variables in complex terms one exploits the hyponormality of the coordinate multiplier to obtain characterizations of: the moments of a positive measure, the associated complex orthogonal polynom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d407a0a2ab1525c990131cda5b523a3e
https://doi.org/10.1007/s40315-018-0237-3
https://doi.org/10.1007/s40315-018-0237-3
Autor:
David P. Kimsey
Publikováno v:
Journal of Mathematical Analysis and Applications. 500:125091
We will consider the indefinite multidimensional truncated moment problem. Necessary and sufficient conditions for a given truncated multisequence to have a signed representing measure with minimal cardinality of its support are given by the existenc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f894d12010fa0e8adfa7ff7f74a29065
https://doi.org/10.1016/j.jmaa.2021.125091
https://doi.org/10.1016/j.jmaa.2021.125091
Publikováno v:
Proceedings of the American Mathematical Society. :1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5a3e71edabf69f15bc050dc85062be27
https://doi.org/10.1090/proc/15701
https://doi.org/10.1090/proc/15701