Geodesic
Feynman integrals of $p$-adic argument in momentum space. I. Convergence
Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 3, pp. 367-377 Cet article a éte moissonné depuis la source Math-Net.Ru

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The regions of convergence of Feynman integrals of $p$-adic arguments in the coordinate and momentum spaces are established, and a theorem on the Fourier transformation of Feynman amplitudes is proved. 
@article{TMF_1995_102_3_a5,
     author = {\'E. Yu. Lerner},
     title = {Feynman integrals of $p$-adic argument in momentum {space.~I.~Convergence}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {367--377},
     year = {1995},
     volume = {102},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_102_3_a5/}
}
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É. Yu. Lerner. Feynman integrals of $p$-adic argument in momentum space. I. Convergence. Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 3, pp. 367-377. http://geodesic.mathdoc.fr/item/TMF_1995_102_3_a5/