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