Geodesic
Ations of motion for a Legendre transform arbitrary order
Teoretičeskaâ i matematičeskaâ fizika, Tome 14 (1973) no. 3, pp. 289-305

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A study is made of the field analogs of the higher Legendre transforms introduced by de Dominieis and Martin in the framework of the functional formulation of quantum statistics [1, 2]. Equations of motion are constructed for these entities, the resulting equations being similar to the Schwinger ,equations for Green's functions. 
@article{TMF_1973_14_3_a0,
     author = {A. N. Vasil'ev and A. K. Kazanskii},
     title = {Ations of motion for a {Legendre} transform arbitrary order},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {289--305},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_14_3_a0/}
}
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A. N. Vasil'ev; A. K. Kazanskii. Ations of motion for a Legendre transform arbitrary order. Teoretičeskaâ i matematičeskaâ fizika, Tome 14 (1973) no. 3, pp. 289-305. http://geodesic.mathdoc.fr/item/TMF_1973_14_3_a0/