Joseph Fourier 250th Birthday. Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst century

Joseph Fourier 250th Birthday. Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst century

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...

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Bibliographic Details
Main Author: Gazeau, Jean-Pierre (auth)
Other Authors: Barbaresco, Frédéric (auth)
Format: Book Chapter
Published: MDPI - Multidisciplinary Digital Publishing Institute 2019
Subjects:
signal processing
thermodynamics
heat pulse experiments
quantum mechanics
variational formulation
Wigner function
nonholonomic constraints
thermal expansion
homogeneous spaces
irreversible processes
time-slicing
affine group
Fourier analysis
non-equilibrium processes
harmonic analysis on abstract space
pseudo-temperature
stochastic differential equations
fourier transform
Lie Groups
higher order thermodynamics
short-time propagators
discrete thermodynamic systems
metrics
heat equation on manifolds and Lie Groups
special functions
poly-symplectic manifold
non-Fourier heat conduction
homogeneous manifold
non-equivariant cohomology
Souriau-Fisher metric
Weyl quantization
dynamical systems
symplectization
Weyl-Heisenberg group
Guyer-Krumhansl equation
rigged Hilbert spaces
Lévy processes
Born-Jordan quantization
discrete multivariate sine transforms
continuum thermodynamic systems
interconnection
rigid body motions
covariant integral quantization
cubature formulas
Lie group machine learning
nonequilibrium thermodynamics
Van Vleck determinant
Lie groups thermodynamics
partial differential equations
orthogonal polynomials
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