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Multiplication and Linear Integral Operators on Lp Spaces Representing Polynomial Covariant Type Commutation Relations

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Non-commutative and Non-associative Algebra and Analysis Structures (SPAS 2019)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 426))

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Abstract

Representations of polynomial covariant type commutation relations by pairs of linear integral operators and multiplication operators on Banach spaces \(L_p\) are constructed.

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Acknowledgements

This work was supported by the Swedish International Development Cooperation Agency (Sida) bilateral program with Mozambique. Domingos Djinja is grateful to the research environment Mathematics and Applied Mathematics (MAM), Division of Mathematics and Physics, School of Education, Culture and Communication, Mälardalen University for excellent environment for research in Mathematics. Partial support from Swedish Royal Academy of Sciences is also gratefully acknowledged.

Author information

Authors and Affiliations

  1. Department of Mathematics and Informatics, Faculty of Sciences, Eduardo Mondlane University, Box 257, Maputo, Mozambique

    Domingos Djinja

  2. Division of Mathematics and Physics, School of Education, Culture and Communication, Mälardalens University, Box 883, 72123, Västerås, Sweden

    Domingos Djinja & Sergei Silvestrov

  3. Department of Mathematics, College of Natural Sciences, Makerere University, Box 7062, Kampala, Uganda

    Alex Behakanira Tumwesigye

Authors
  1. Domingos Djinja
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  2. Sergei Silvestrov
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  3. Alex Behakanira Tumwesigye
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Correspondence to Domingos Djinja .

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Editors and Affiliations

  1. Division of Mathematics and Physics, Mälardalen University, Västerås, Sweden

    Sergei Silvestrov

  2. Division of Mathematics and Physics, Mälardalen University, Västerås, Sweden

    Anatoliy Malyarenko

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Djinja, D., Silvestrov, S., Tumwesigye, A.B. (2023). Multiplication and Linear Integral Operators on Lp Spaces Representing Polynomial Covariant Type Commutation Relations. In: Silvestrov, S., Malyarenko, A. (eds) Non-commutative and Non-associative Algebra and Analysis Structures. SPAS 2019. Springer Proceedings in Mathematics & Statistics, vol 426. Springer, Cham. https://doi.org/10.1007/978-3-031-32009-5_9

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