32 citations · 193 across the 48 of their papers we have counts for
5 papers · 1 filter
The Affine Wigner Distribution
Eirik Berge, Stine Marie Berge, Franz Luef
We examine the affine Wigner distribution from a quantization perspective with an emphasis on the underlying group structure. One of our main results expresses the scalogram as (af…
Gabor Duality Theory for Morita Equivalent -algebras
Are Austad, Mads S. Jakobsen, Franz Luef
The duality principle for Gabor frames is one of the pillars of Gabor analysis. We establish a far-reaching generalization to Morita equivalent -algebras where the equivalence…
Polyanalytic Toeplitz operators: isomorphisms, symbolic calculus and approximation of Weyl operators
Johannes Keller, Franz Luef
We discuss an extension of Toeplitz quantization based on polyanalytic functions. We derive isomorphism theorem for polyanalytic Toeplitz operators between weighted Sobolev-Fock sp…
A twisted local index formula for curved noncommutative two tori
Farzad Fathizadeh, Franz Luef, Jim Tao
We consider the Dirac operator of a general metric in the canonical conformal class on the noncommutative two torus, twisted by an idempotent (representing the -theory class of…
A Large Scale Approach to Decomposition Spaces
Eirik Berge, Franz Luef
Decomposition spaces are a class of function spaces constructed out of well-behaved coverings and partitions of unity of a set. The structure of the covering of the set determines…