Abstract
The classical Wiener-Hopf operators are obtained by compressing the left—convolution operators on L2(R) to the space L2([0,∞)). One can make such a compression in the general context of a locally compact group, with [0, ∞) replaced by a semigroup which is the closure of its interior. The most often considered examples of generalized Wiener-Hopf operators obtained in this manner are the Euclidean ones, where the group is Rn and the compression is made to a closed convex cone with non-void interior.
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References
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© 1990 Birkhäuser Verlag Basel
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Nica, A. (1990). Wiener-Hopf Operators on the Positive Semigroup of a Heisenberg Group. In: Helson, H., Sz.-Nagy, B., Vasilescu, FH., Arsene, G. (eds) Linear Operators in Function Spaces. Operator Theory: Advances and Applications, vol 43. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7250-8_19
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DOI: https://doi.org/10.1007/978-3-0348-7250-8_19
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