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Some New Applications of the Theory of Conjugate Differential Forms

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Analysis, Probability, Applications, and Computation

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

In this survey we describe two applications of the concept of conjugate differential forms. Namely, after describing the concept of conjugate and self-conjugate differential forms, we consider an extension of the Brothers Riesz theorem to higher real dimension and Riesz-type inequalities for differential forms.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Economia ed Informatica, Università della Basilicata, Potenza, Italy

    Alberto Cialdea

Authors
  1. Alberto Cialdea
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Karl‐Olof Lindahl

  2. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Torsten Lindström

  3. Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

  4. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Joachim Toft

  5. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Patrik Wahlberg

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Cialdea, A. (2019). Some New Applications of the Theory of Conjugate Differential Forms. In: Lindahl, K., Lindström, T., Rodino, L., Toft, J., Wahlberg, P. (eds) Analysis, Probability, Applications, and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-04459-6_9

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