04779nam 2200889z- 450 991034669270332120231214133336.0(CKB)4920000000094742(oapen)https://directory.doabooks.org/handle/20.500.12854/50897(EXLCZ)99492000000009474220202102d2019 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierJoseph Fourier 250th Birthday. Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst centuryMDPI - Multidisciplinary Digital Publishing Institute20191 electronic resource (260 p.)3-03897-746-2 For the 250th birthday of Joseph Fourier, born in 1768 in Auxerre, France, this MDPI Special Issue will explore modern topics related to Fourier Analysis and Heat Equation. Modern developments of Fourier analysis during the 20th century have explored generalizations of Fourier and Fourier–Plancherel formula for non-commutative harmonic analysis, applied to locally-compact, non-Abelian groups. In parallel, the theory of coherent states and wavelets has been generalized over Lie groups. One should add the developments, over the last 30 years, of the applications of harmonic analysis to the description of the fascinating world of aperiodic structures in condensed matter physics. The notions of model sets, introduced by Y. Meyer, and of almost periodic functions, have revealed themselves to be extremely fruitful in this domain of natural sciences. The name of Joseph Fourier is also inseparable from the study of the mathematics of heat. Modern research on heat equations explores the extension of the classical diffusion equation on Riemannian, sub-Riemannian manifolds, and Lie groups. In parallel, in geometric mechanics, Jean-Marie Souriau interpreted the temperature vector of Planck as a space-time vector, obtaining, in this way, a phenomenological model of continuous media, which presents some interesting properties. One last comment concerns the fundamental contributions of Fourier analysis to quantum physics: Quantum mechanics and quantum field theory. The content of this Special Issue will highlight papers exploring non-commutative Fourier harmonic analysis, spectral properties of aperiodic order, the hypoelliptic heat equation, and the relativistic heat equation in the context of Information Theory and Geometric Science of Information.signal processingthermodynamicsheat pulse experimentsquantum mechanicsvariational formulationWigner functionnonholonomic constraintsthermal expansionhomogeneous spacesirreversible processestime-slicingaffine groupFourier analysisnon-equilibrium processesharmonic analysis on abstract spacepseudo-temperaturestochastic differential equationsfourier transformLie Groupshigher order thermodynamicsshort-time propagatorsdiscrete thermodynamic systemsmetricsheat equation on manifolds and Lie Groupsspecial functionspoly-symplectic manifoldnon-Fourier heat conductionhomogeneous manifoldnon-equivariant cohomologySouriau-Fisher metricWeyl quantizationdynamical systemssymplectizationWeyl-Heisenberg groupGuyer-Krumhansl equationrigged Hilbert spacesLévy processesBorn–Jordan quantizationdiscrete multivariate sine transformscontinuum thermodynamic systemsinterconnectionrigid body motionscovariant integral quantizationcubature formulasLie group machine learningnonequilibrium thermodynamicsVan Vleck determinantLie groups thermodynamicspartial differential equationsorthogonal polynomialsGazeau Jean-Pierreauth48964Barbaresco FrédéricauthBOOK9910346692703321Joseph Fourier 250th Birthday. Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst century3033492UNINA01470nas 2200409-a 450 991013213580332120240413023119.0(CKB)110978979116901(CONSER)sn-85014305-(DE-599)ZDB2064616-1(EXLCZ)9911097897911690119840410b19822003 -a- -engtxtrdacontentcrdamediacrrdacarrierEconomic and financial report /Dirección de Política Financiera, Banco Central de ChileSantiago, Chile Banco Central de Chile-20031 online resourcePrint version: Economic and financial report (Banco Central de Chile. Dirección de Política Financiera) 0716-2421 (DLC)sn 85014305 (OCoLC)10614280 WirtschaftsstatistikstwChilestwEconomic historyfast(OCoLC)fst00901974ChileEconomic conditions1970-StatisticsPeriodicalsCHILECONDICIONES ECONOMICAS1980-renibChilefastPeriodicals.fastStatistics.fastWirtschaftsstatistik.Chile.Economic history.Banco Central de Chile.Dirección de Política Financiera.JOURNAL9910132135803321exl_impl conversionEconomic and financial report2017158UNINA