Zobrazeno 1 - 10
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pro vyhledávání: '"Kimsey, David P."'
Autor:
Kimsey, David P., Putinar, Mihai
The discrete data encoded in the power moments of a positive measure, fast decaying at infinity on euclidean space, is incomplete for recovery, leading to the concept of moment indeterminateness. On the other hand, classical integral transforms (Four
Externí odkaz:
http://arxiv.org/abs/2307.16018
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:
http://arxiv.org/abs/2112.05204
Autor:
Colombo, Fabrizio, Kimsey, David P.
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:
http://arxiv.org/abs/2112.05201
Autor:
Kimsey, David P.
We will consider the indefinite truncated multidimensional moment problem. Necessary and sufficient conditions for a given truncated multisequence to have a signed representing measure $\mu$ with ${\rm card}\,{\rm supp}\, \mu$ as small as possible ar
Externí odkaz:
http://arxiv.org/abs/2006.08692
Autor:
Kimsey, David, Putinar, Mihai
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:
http://arxiv.org/abs/1910.05251
Publikováno v:
In Advances in Mathematics 3 December 2022 410 Part A
Autor:
Kimsey, David P.
Publikováno v:
In Linear Algebra and Its Applications 15 July 2022 645:170-193
The analogue of the Riesz-Dunford functional calculus has been introduced and studied recently as well as the theory of semigroups and groups of linear quaternionic operators. In this paper we suppose that $T$ is the infinitesimal generator of a stro
Externí odkaz:
http://arxiv.org/abs/1502.02954
We define and study the counterpart of the Wiener algebra in the quaternionic setting, both for the discrete and continuous case. We prove a Wiener-L\'evy type theorem and a factorization theorem. We give applications to Toeplitz and Wiener-Hopf oper
Externí odkaz:
http://arxiv.org/abs/1501.02642
In this paper we prove the spectral theorem for quaternionic unbounded normal operators using the notion of $S$-spectrum. The proof technique consists of first establishing a spectral theorem for quaternionic bounded normal operators and then using a
Externí odkaz:
http://arxiv.org/abs/1409.7010