Semicircular elements induced by p-adic number fields [PDF]
Opuscula Mathematica, 2017 In this paper, we study semicircular-like elements, and semicircular elements induced by \(p\)-adic analysis, for each prime \(p\). Starting from a \(p\)-adic number field \(\mathbb{Q}_{p}\), we construct a Banach \(*\)-algebra \(\mathfrak{LS}_{p}\), for
Ilwoo Cho, Palle E. T. Jorgensen
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Acting Semicircular Elements Induced by Orthogonal Projections on Von-Neumann-Algebras [PDF]
Mathematics, 2017 In this paper, we construct a free semicircular family induced by Z -many mutually-orthogonal projections, and construct Banach ∗-probability spaces ...
Ilwoo Cho
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Banach *-algebras generated by semicircular elements induced by certain orthogonal projections [PDF]
Opuscula Mathematica, 2018 The main purpose of this paper is to study structure theorems of Banach \(*\)-algebras generated by semicircular elements. In particular, we are interested in the cases where given semicircular elements are induced by orthogonal projections in a \(C^{*}\)
Ilwoo Cho, Palle E. T. Jorgensen
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Banach-Space Operators Acting on Semicircular Elements Induced by p-Adic Number Fields over Primes p [PDF]
Mathematics, 2019 In this paper, we study certain Banach-space operators acting on the Banach *-probability space ( LS , τ 0 ) generated by semicircular elements Θ p , j induced by p-adic number fields Q p over the set P of all
Ilwoo Cho
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Primes in Intervals and Semicircular Elements Induced by p-Adic Number Fields
Mathematics, 2019 In this paper, we study free probability on (weighted-)semicircular elements in a certain Banach *-probability space ( LS , τ 0 ) induced by measurable functions on p-adic number fields Q p over primes p .
Ilwoo Cho, Palle Jorgensen
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Deformation of semicircular and circular laws via p-adic number fields and sampling of primes [PDF]
Opuscula Mathematica, 2019 In this paper, we study semicircular elements and circular elements in a certain Banach \(*\)-probability space \((\mathfrak{LS},\tau ^{0})\) induced by analysis on the \(p\)-adic number fields \(\mathbb{Q}_{p}\) over primes \(p\).
Ilwoo Cho, Palle E. T. Jorgensen
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Semicircular Patch-Embedded Vivaldi Antenna for Miniaturized UWB Radar Sensors
Sensors, 2020 A microstrip-to-slot line-fed miniaturized Vivaldi antenna using semicircular patch embedment is proposed in this study. The conventional Vivaldi antenna has ultrawide bandwidth, but suffers from low gain in the low-frequency band.
Jungwoo Seo, Jae Hee Kim, Jungsuek Oh
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Thinned and Sparse Beamforming for Semicircular FDAs in the Transmit–Receive Domain
Remote SensingThe thinned and sparse beamforming for semicircular FDAs were investigated, where the excitation amplitudes were also considered in thinned semicircular FDAs, and only the elements’ positions were incorporated into the sparse semicircular FDA.
Anyi Wang +4 more
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Spectral properties of certain operators on the free Hilbert space \mathfrak{F}[H_{1},...,H_{N}] and the semicircular law [PDF]
Opuscula Mathematica, 2021 In this paper, we fix \(N\)-many \(l^2\)-Hilbert spaces \(H_k\) whose dimensions are \(n_{k} \in \mathbb{N}^{\infty}=\mathbb{N} \cup \{\infty\}\), for \(k=1,\ldots,N\), for \(N \in \mathbb{N}\setminus\{1\}\).
Ilwoo Cho
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Aerodynamic and Aeroacoustic Performance of a Wing with Structured Surface Inspired by Owl’s Wings [PDF]
Journal of Applied Fluid Mechanics, 2022 With the advent of various advanced materials, the idea of flying like birds has attracted considerable attention in recent years. In addition, aeroacoustics has become an important issue and is being widely studied.
R. Harbi Monfared +4 more
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