Local approximations and differentiability of functions of several variables
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 29 (1974) no. 4 Cet article a éte moissonné depuis la source Math-Net.Ru

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Yu. A. Brudnyi. Local approximations and differentiability of functions of several variables. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 29 (1974) no. 4. http://geodesic.mathdoc.fr/item/RM_1974_29_4_a9/

[1] G. P. Calderon, A. Zygmund, “Local properties of solutions of elliptic partial differential equations”, Studia Math., 20 (1961), 171–225 | MR | Zbl

[2] V. V. Stepanov, “Sur les conditions de l'existence de la différentielle totale”, Matem. sb., 32:3 (1925), 511–527 | Zbl

[3] W. H. Oliver, “On existence theorem for $n$-th Peano differential”, Bull. Amer. Math. Soc., 57 (1951), 472

[4] Yu. A. Brudnyi, “Mnogomernyi analog odnoi teoremy Uitni”, Matem. sb., 82 (124):2 (1970), 175–191 | MR | Zbl

[5] Yu. A. Brudnyi, “O lokalnom nailuchshem priblizhenii”, DAN, 161:4 (1965), 746–749 | MR | Zbl

[6] Yu. A. Brudnyi, “Prostranstva, opredelyaemye s pomoshyu lokalnykh priblizhenii”, Trudy MMO, 24, 1971, 69–132 | MR | Zbl

[7] Yu. A. Brudnyi, “Ob odnom svoistve funktsii iz prostranstva $H_p^\nu$”, DAN, 215:5 (1974), 1029–1031 | MR | Zbl

[8] G. P. Calderon, A. Zygmund, “On the differentiability of functions which are variation in Tonelli's sense”, Rev. Union Mat. Argentina, 20 (1960), 102–121 | MR

[9] A. G. Vitushkin, O mnogomernykh variatsiyakh, Gostekhizdat, M., 1955

[10] I. Marcinkiewicz, “On a class of functions and their Fourier series”, Collected Papers, Warszawa, 1964, 36–41