On canonical formalism in field theory with derivatives of higher order-canonical transformations

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Abstract
For a canonical formalism with derivatives of higher order, the corresponding theory of canonical transformations is given in the most general case for classical and covariant field theory. Relations with the generating functional, infinitesimal transformations, Hamilton-Jacobi method, Lagrange and Poisson brackets, as well as integral invariants of the first and higher orders and the corresponding Liouville theorem are considered.

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