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Catalan Numbers and Free Distributions of Mutually Free Multi Semicircular Elements
Complex Analysis and Operator TheoryzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ilwoo Cho
exaly +4 more sources
2017 International Conference on Electronics Packaging (ICEP), 2017
In recent years, radio communication using ultrawideband (UWB) technology has shown great promise for ubiquitous application. We have already investigated and developed the cross type of unbalanced dipole antenna with semicircular and trapezoidal radiating elements, and we have confirmed that the cross type of unbalanced dipole antenna performed with ...
Fukuro Koshiji
exaly +3 more sources
In recent years, radio communication using ultrawideband (UWB) technology has shown great promise for ubiquitous application. We have already investigated and developed the cross type of unbalanced dipole antenna with semicircular and trapezoidal radiating elements, and we have confirmed that the cross type of unbalanced dipole antenna performed with ...
Fukuro Koshiji
exaly +3 more sources
2015 IEEE International Conference on Communication Problem-Solving (ICCP), 2015
In the paper, the planar parasitic coupling multi-resonator configuration yielding broad BW (Bandwidth) for wireless communication system is presented. The proposed antenna, a rectangular driven element and the same two semicircular parasitic elements with a pair of arc-shaped slots, fed by a coaxial probe, is etched on a thin circular dielectric ...
Jianqiang Hou, Yong-Chao Wang
exaly +3 more sources
In the paper, the planar parasitic coupling multi-resonator configuration yielding broad BW (Bandwidth) for wireless communication system is presented. The proposed antenna, a rectangular driven element and the same two semicircular parasitic elements with a pair of arc-shaped slots, fed by a coaxial probe, is etched on a thin circular dielectric ...
Jianqiang Hou, Yong-Chao Wang
exaly +3 more sources
2021 International Conference on Electronics Packaging (ICEP), 2021
In this paper, a circularly-polarized antenna operating in a broadband has been studied by modifying the shape of the unbalanced dipole antenna consisting of semicircular and trapezoidal elements, well-known to have broadband characteristics. As a result,
Hironori Takahashi +2 more
semanticscholar +2 more sources
In this paper, a circularly-polarized antenna operating in a broadband has been studied by modifying the shape of the unbalanced dipole antenna consisting of semicircular and trapezoidal elements, well-known to have broadband characteristics. As a result,
Hironori Takahashi +2 more
semanticscholar +2 more sources
, 2022
In this paper, starting from a \(C^{*}\)-probability space \(\mathfrak {X}_{\varphi } \) generated by mutually free, countable-infinitely many semicircular elements \(\{s_{n}\}_{n=1}^{\infty }\), the free distributional data on \(\mathfrak { X}_{\varphi }\) are characterized by joint free moments of \(\{s_{n}\}_{n=1}^{\infty }\); and then, a certain ...
Ilwoo Cho
semanticscholar +2 more sources
In this paper, starting from a \(C^{*}\)-probability space \(\mathfrak {X}_{\varphi } \) generated by mutually free, countable-infinitely many semicircular elements \(\{s_{n}\}_{n=1}^{\infty }\), the free distributional data on \(\mathfrak { X}_{\varphi }\) are characterized by joint free moments of \(\{s_{n}\}_{n=1}^{\infty }\); and then, a certain ...
Ilwoo Cho
semanticscholar +2 more sources
Deformed Joint Free Distributions of Semicircular Elements Induced by Multi Orthogonal Projections
, 2020In this paper, we consider (i) how to establish semicircular elements \(\{U_{k}\}_{k=1}^{N}\) induced by N-many mutually orthogonal projections \(\{q_{k}\}_{k=1}^{N}\), for N \(\in \) \((\mathbb {N}\setminus \{1\})\cup \{\infty \},\) and the corresponding free product Banach \(*\)-probability space \(\mathbb {L}_{Q}^{(N)}\) generated by \(\{U_{k}\}_{k ...
Ilwoo Cho
semanticscholar +2 more sources
Certain Banach-Space Operators Acting on the Semicircular Elements Induced by Orthogonal Projections
Mathematical Modelling, Applied Analysis and Computation, 2018The main purposes of this paper are (i) to construct-and-study (weighted-)semicircular elements induced by mutually orthogonal \(\left| \mathbb {Z}\right| \)-many projections, and the Banach \(*\)-probability space \(\mathbb {L}_{Q}\) generated by these operators, (ii) to establish \(*\)-isomorphisms on \(\mathbb {L}_{Q}\) from shifting processes on ...
Ilwoo Cho
semanticscholar +2 more sources
, 2019
In this paper, we consider an operator-algebraic structure of a \(C^{*}\)-algebra generated by mutually free, countable-infinitely many semicircular elements, and then construct-and-study a certain abelian infinite cyclic group acting on the \(C^{*}\)-algebra. We show how the group algebra generated by the group deform the free probability on the \(C^{*
Ilwoo Cho
semanticscholar +2 more sources
In this paper, we consider an operator-algebraic structure of a \(C^{*}\)-algebra generated by mutually free, countable-infinitely many semicircular elements, and then construct-and-study a certain abelian infinite cyclic group acting on the \(C^{*}\)-algebra. We show how the group algebra generated by the group deform the free probability on the \(C^{*
Ilwoo Cho
semanticscholar +2 more sources