24 citations · 36 across the 16 of their papers we have counts for
10 papers · 1 filter
The harmonic oscillator on the Moyal-Groenewold plane: an approach via Lie groups and twisted Weyl tuples
Cédric Arhancet, Lukas Hagedorn, Christoph Kriegler +1
This paper investigates the functional calculus of the harmonic oscillator on each Moyal-Groenewold plane, the noncommutative phase space which is a fundamental object in quantum m…
Decomposable Fourier Multipliers and an Operator-Algebraic Characterization of Amenability
Cédric Arhancet, Christoph Kriegler
We study the algebra of decomposable Fourier multipliers on the group von Neumann algebra of a locally compact group , a…
Complementation of the subspace of radial multipliers in the space of Fourier multipliers on
Cédric Arhancet, Christoph Kriegler
In this short note, we prove that the subspace of radial multipliers is contractively complemented in the space of Fourier multipliers on the Bochner space $\mathrm{L}^p(\mathbb{R}…
Hörmander functional calculus on UMD lattice valued spaces under generalised Gaussian estimates
Luc Deleaval, Mikko Kemppainen, Christoph Kriegler
We consider self-adjoint semigroups acting on and satisfying (generalised) Gaussian estimates, where is a metric measure space of homogeneous type of…
Dimension free bounds for the vector-valued Hardy-Littlewood maximal operator
Luc Deleaval, Christoph Kriegler
In this article, Fefferman-Stein inequalities in withbounds independent of the dimension are proved, for all $1 \textless{} p, q \textless{} + \infty.…
Spectral multiplier theorems via calculus and -bounds
Christoph Kriegler, Lutz Weis
We prove spectral multiplier theorems for Hörmander classes for 0-sectorial operators A on Banach spaces assuming a bounded calculus for some $σ…
Paley-Littlewood decomposition for sectorial operators and interpolation spaces
Christoph Kriegler, Lutz Weis
We prove Paley-Littlewood decompositions for the scales of fractional powers of -sectorial operators on a Banach space which correspond to Triebel-Lizorkin spaces and the sc…
Spectral multiplier theorems and averaged R-boundedness
Christoph Kriegler, Lutz Weis
Let be a -sectorial operator with a bounded -calculus for some e.g. a Laplace type operator on where is a manif…
H{ö}rmander Functional Calculus for Poisson Estimates
Christoph Kriegler
The aim of the article is to show a H{ö}rmander spectral multiplier theorem for an operator whose kernel of the semigroup satisfies certain Poisson estimates for co…
Spectral multipliers for wave operators
Christoph Kriegler
A classical theorem of Mihlin yields Lp estimates for spectral multipliers Lp(R^d) -> Lp(R^d); g -> F^{-1}[f(| |^2) Fg] in terms of L^\infty bounds of the multiplier function f and…