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Order filtrations of the edge algebra

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Abstract

By edge algebra we understand a pseudo-differential calculus on a manifold with edge. The operators have a two-component principal symbolic hierarchy which determines operators up to lower order terms. Those belong to a filtration of the corresponding operator spaces. We give a new characterisation of this structure, based on an alternative representation of edge amplitude functions only containing holomorphic edge-degenerate Mellin symbols.

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Acknowledgments

Supported by the Tianjin Research Program of Application Foundation and Advanced Technology, Grant No. 14JCYBJC43100. Supported by Grant No. MYRG115(Y1-L4)-FST13-QT.

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Authors and Affiliations

  1. College of Science, Tianjin University of Technology and Education, Tianjin, 300222, People’s Republic of China

    Xiaojing Lyu

  2. Faculty of Science and Technology, University of Macau, Taipa, Macau, China SAR

    Tao Qian

  3. Institute of Mathematics, University of Potsdam, 14469, Potsdam, Germany

    B.-W. Schulze

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  1. Xiaojing Lyu
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  2. Tao Qian
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  3. B.-W. Schulze
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Correspondence to B.-W. Schulze.

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Lyu, X., Qian, T. & Schulze, BW. Order filtrations of the edge algebra. J. Pseudo-Differ. Oper. Appl. 6, 279–305 (2015). https://doi.org/10.1007/s11868-015-0126-8

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  • DOI: https://doi.org/10.1007/s11868-015-0126-8

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