83 citations · 515 across the 58 of their papers we have counts for
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math.FA2012
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…
math.FA2012
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…
math.FA2012★ 3 cited
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…