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A differential—Difference bicomplex

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Abstract

We develop the method of difference jets on a multidimensional integer lattice. Based on this, we construct a lattice differential—difference bicomplex in the class of functions of a locally finite order and prove that it is acyclic.

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Authors and Affiliations

  1. Steklov Mathematical Institute, RAS, Moscow, Russia

    V. V. Zharinov

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  1. V. V. Zharinov
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Correspondence to V. V. Zharinov.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 165, No. 2, pp. 195–216, November, 2010.

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Zharinov, V.V. A differential—Difference bicomplex. Theor Math Phys 165, 1401–1420 (2010). https://doi.org/10.1007/s11232-010-0117-0

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  • DOI: https://doi.org/10.1007/s11232-010-0117-0

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