Abstract
The theory of Wiener-Hopf operators with AP and SAP symbols on (R + ) is more complicated than its Toeplitz counterpart. We have to bound ourselves to symbols that are multipliers which leads to the introduction of the classes AP P and SAP P .The main result of this chapter is a Fredholm criterion and an index formula for Wiener-Hopf operators with symbols in [SAPP] N×N on the space (R + ) under the assumption that the almost periodic representatives are known to have AP P factorizations. This assumption can be removed in the scalar case and in the case where the almost periodic representatives of the symbol at±∞have absolutely convergent Bohr-Fourier series
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© 2002 Springer Basel AG
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Böttcher, A., Karlovich, Y.I., Spitkovsky, I.M. (2002). Wiener-Hopf Operators with SAP Symbols on Lebesgue Spaces. In: Convolution Operators and Factorization of Almost Periodic Matrix Functions. Operator Theory: Advances and Applications, vol 131. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8152-4_19
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DOI: https://doi.org/10.1007/978-3-0348-8152-4_19
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9457-9
Online ISBN: 978-3-0348-8152-4
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