Displaying similar documents to “L... - L... Estimates for Convolution Operators with n-Dimensional Singular Measures.”

Convolutions related to q-deformed commutativity

Anna Kula (2010)

Banach Center Publications

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Two important examples of q-deformed commutativity relations are: aa* - qa*a = 1, studied in particular by M. Bożejko and R. Speicher, and ab = qba, studied by T. H. Koornwinder and S. Majid. The second case includes the q-normality of operators, defined by S. Ôta (aa* = qa*a). These two frameworks give rise to different convolutions. In particular, in the second scheme, G. Carnovale and T. H. Koornwinder studied their q-convolution. In the present paper we consider another convolution...

Vector-valued multipliers: convolution with operator-valued measures

Gaudry G. I., Ricker W. J., Jefferies B. R. F.

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CONTENTS Preface.........................................................................................................5 1. Introduction...............................................................................................6   1.1. Measurability and vector measures.....................................................6   1.2. Convolution and vector measures.....................................................12 ...

On convolution squares of singular measures

Sanjiv K. Gupta, Kathryn E. Hare (2004)

Colloquium Mathematicae

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We prove that for every compact, connected group G there is a singular measure μ such that the Fourier series of μ*μ converges uniformly on G. Our results extend the earlier results of Saeki and Dooley-Gupta.