83 citations · 515 across the 58 of their papers we have counts for
6 papers · 1 filter
Norm-Controlled Inversion in Smooth Banach Algebras, II
Karlheinz Gröchenig, Andreas Klotz
We show that smoothness implies norm-controlled inversion: the smoothness of an element in a Banach algebra with a one-parameter automorphism group is preserved under inversion…
Inverse-Closed Subalgebras of Noncommutative Tori
Karlheinz Gröchenig, Michael Leinert
We give a systematic construction of inverse-closed (Banach) subalgebras in general higher-dimensional non-commutative tori
Norm-Controlled Inversion in Smooth Banach Algebras, I
Karlheinz Gröchenig, Andreas Klotz
Every differential subalgebra of a unital -algebra is spectrally invariant. We derive a quantitative version of this well-known fact and show that a minimal amount of smoothne…
Uniqueness and Reconstruction Theorems for Pseudodifferential Operators with a Bandlimited Kohn-Nirenberg Symbol
Karlheinz Gröchenig, Elmar Pauwels
Motivated by the problem of channel estimation in wireless communications, we derive a reconstruction formula for pseudodifferential operators with a bandlimited symbol. This recon…
Relevant Sampling of Band-limited Functions
Richard F. Bass, Karlheinz Gröchenig
We study the random sampling of band-limited functions of several variables. If a bandlimited function with bandwidth one has its essential support on a cube of volume , then…
The Wiener Property for a Class of Fourier Integral Operators
Elena Cordero, Karlheinz Gröchenig, Fabio Nicola +1
We construct a one-parameter family of algebras consisting of Fourier integral operators. We derive boundedness results, composition rules, and the spectral invariance of this clas…