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19942022
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4 citations · 5 across the 7 of their papers we have counts for

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math.FA2022

The Banach algebras and

Ian Doust, Michael Leinert, Alan Stoneham

The spaces and were introduced as part of a program to find a general theory which covers both well-bounded operators and trigonometrically well-bounded operators a…

math.FA2017

Convolution dominated operators on compact extensions of abelian groups

Gero Fendler, Michael Leinert

If is a locally compact group, the algebra of convolution dominated operators on then an important question is: Is (respectively if…

math.FA2015

On Convolution Dominated Operators

Gero Fendler, Michael Leinert

For a locally compact group we consider the algebra of convolution dominated operators on : An operator is called convolution dominated i…

math.FA2014★ 1 cited

Wiener's theorem for positive definite functions on hypergroups

Walter R Bloom, John J. F. Fournier, Michael Leinert

The following theorem on the circle group is due to Norbert Wiener: If has non-negative Fourier coefficients and is square integr…

math.FA2013

Isomorphisms of spaces

Ian Doust, Michael Leinert

Analogues of the classical Banach-Stone theorem for spaces of continuous functions are studied in the context of the spaces of absolutely continuous functions introduced by Ashton…

math.FA2013★ 4 cited

Approximation in

Ian Doust, Michael Leinert, Alan Stoneham

For a nonempty compact subset in the plane, the space is the closure of the space of complex polynomials in two real variables under a particular variation norm. In the…

math.FA2008

Convolution-Dominated Operators on Discrete Groups

Gero Fendler, Karlheinz Gröchenig, Michael Leinert

We study infinite matrices indexed by a discrete group that are dominated by a convolution operator in the sense that for and some…