Revisiting Microlocal Analysis: A Bridge between Fractal Cohomology and Classical Function Spaces
Mots clés
- prefractal cohomology
- Besov spaces
- Hölder-Zymund spaces
- fractal Laplacian
- cohomological vertex integers
- pseudodifferential operators
- Hodge decomposition
- fractal transfer (or Frobenius) operator
- Lefschetz operator
- fractal cohomology
- polyhedral measure
- Poincaré duality
- intrinsic scale
- cohomology infinitesimal
- box-counting (or Minkowski) dimension
- Complex Dimensions of an IFD
- fractal zeta functions
- iterated fractal drum (IFD)
- 28A75-28A80-35R02-57Q70 Weierstrass Curve
- 28A75-28A80-35R02-57Q70 Weierstrass Curve iterated fractal drum (IFD) fractal zeta functions Complex Dimensions of an IFD box-counting (or Minkowski) dimension cohomology infinitesimal intrinsic scale Poincaré duality polyhedral measure prefractal cohomology fractal cohomology Lefschetz operator fractal transfer (or Frobenius) operator Hodge decomposition pseudodifferential operators cohomological vertex integers fractal Laplacian Hölder-Zymund spaces Besov spaces
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