04-3   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Detlef Müller, Christoph Thiele:

Wave equation and multiplier estimates on ax+b groups

Let L be the distinguished Laplacian on certain semidirect products of R by Rn which are of ax+b type. We prove pointwise estimates for the convolution kernels of spectrally localized wave operators for arbitrary time and scaling parameter.

Electronic Print: Front for the Mathematics ArXiv

Mathematics Subject Classification (1991): 43A15, 42B15, 22E30

Bibliographical note: to appear in Studia math.


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