Semicircular-like and semicircular laws on Banach \(*\)-probability spaces induced by dynamical systems of the finite adele ring \(A_{\mathbb{Q}}\)
From MaRDI portal
Publication:1790578
DOI10.15352/aot.1802-1317OpenAlexW2793734852MaRDI QIDQ1790578
Publication date: 2 October 2018
Published in: Advances in Operator Theory (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.aot/1522807288
representationfree probabilityfinite adele ringsemigroup dynamical systemweighted-semicircular element
Free probability and free operator algebras (46L54) Abstract operator algebras on Hilbert spaces (47L30) Adèle rings and groups (11R56) Other analytic theory (11R47) Representations of (nonselfadjoint) operator algebras (47L55)
Related Items
Free probability on the limit \(C^\ast\)-algebra induced by a chain of graphs, Catalan numbers and free distributions of mutually free multi semicircular elements, On Semicircular Elements Induced by Connected Finite Graphs, Free-homomorphic relations on Banach \(*\)-probability spaces generated by semicircular elements induced by natural numbers, The semicircular law of free probability as noncommutative multivariable operator theory, Certain \(\ast\)-homomorphisms acting on unital \(C^\ast\)-probability spaces and semicircular elements induced by \(p\)-adic number fields over primes \(p\), Free Poisson Elements Induced by Orthogonal Projections
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On fractional Brownian motion and wavelets
- On free stochastic processes and their derivatives
- Wavelet bases on adele rings
- Adelic multiresolution analysis, construction of wavelet bases and pseudo-differential operators
- Free semicircular families in free product Banach \(\ast\)-algebras induced by \(p\)-adic number fields over primes \(p\)
- Prime number theorems for Rankin-Selberg \(L\)-functions over number fields
- Free probability and the von Neumann algebras of free groups
- Distributions on adeles
- Aspects of free analysis
- p-adic quantum mechanics
- Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index
- Brown's spectral distribution measure for \(R\)-diagonal elements in finite von Neumann algebras
- Semicircular-like, and semicircular laws induced by certain \(C^*\)-probability spaces over the finite adele ring \(A_{\mathbb{Q}}\)
- Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory
- Strong Haagerup inequalities for free \(\mathfrak R\)-diagonal elements
- Linear fractional \(p\)-adic and adelic dynamical systems
- Markov measures and extended zeta functions
- Moment problems in an infinite number of variables
- Spectral Theory for Gaussian Processes: Reproducing Kernels, Boundaries, and L2-Wavelet Generators with Fractional Scales
- Free probability on Hecke algebras and certain group C^{*}-algebras induced by Hecke algebras
- q-Frames and Bessel Functions
- STATES ON THE CUNTZ ALGEBRAS AND p-ADIC RANDOM WALKS
- Free Random Variables
- Conditional expectations, traces, angles between spaces and Representations of the Hecke algebras
- Multiresolution wavelet analysis of integer scale Bessel functions
- Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
- Wavelets in mathematical physics:q-oscillators
- A CONCEPTUAL PROOF OF A BASIC RESULT IN THE COMBINATORIAL APPROACH TO FREENESS
- Adelic analysis and functional analysis on the finite Adele ring
- Semicircular elements induced by p-adic number fields
