Classes of functions quasianalytic with respect to a linear
Izvestiya. Mathematics , Tome 4 (1970) no. 5, pp. 1135-1150.

Voir la notice de l'article provenant de la source Math-Net.Ru

In analogy with classes of functions which are quasianalytic in the sense of Hadamard, we construct classes of functions which are quasianalytic with respect to operators of the indicated type, acting on two independent variables. We prove a criterion for quasianalyticity.
@article{IM2_1970_4_5_a7,
     author = {V. G. Hryptun},
     title = {Classes of functions quasianalytic with respect to a linear},
     journal = {Izvestiya. Mathematics },
     pages = {1135--1150},
     publisher = {mathdoc},
     volume = {4},
     number = {5},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1970_4_5_a7/}
}
TY  - JOUR
AU  - V. G. Hryptun
TI  - Classes of functions quasianalytic with respect to a linear
JO  - Izvestiya. Mathematics 
PY  - 1970
SP  - 1135
EP  - 1150
VL  - 4
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1970_4_5_a7/
LA  - en
ID  - IM2_1970_4_5_a7
ER  - 
%0 Journal Article
%A V. G. Hryptun
%T Classes of functions quasianalytic with respect to a linear
%J Izvestiya. Mathematics 
%D 1970
%P 1135-1150
%V 4
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1970_4_5_a7/
%G en
%F IM2_1970_4_5_a7
V. G. Hryptun. Classes of functions quasianalytic with respect to a linear. Izvestiya. Mathematics , Tome 4 (1970) no. 5, pp. 1135-1150. http://geodesic.mathdoc.fr/item/IM2_1970_4_5_a7/

[1] Levitan B. M., Operatory obobschennogo sdviga i nekotorye ikh primeneniya, Fizmatgiz, M., 1962 | MR

[2] Mandelbroit S., Primykayuschie ryady. Regulyarizatsiya posledovatelnostei. Primeneniya, IL, M., 1955

[3] Tikhonov A. N., “Teoremy edinstvennosti dlya uravneniya teploprovodnosti”, Matem. sb., 42:2 (1935), 199–216

[4] Khryptun V. G., “O funktsiyakh odnoi nezavisimoi peremennoi, kvazianaliticheskikh otnositelno obyknovennogo lineinogo differentsialnogo operatora”, Sib. matem. zh., VI:6 (1965), 1396–1406

[5] Khryptun V. G., Funktsii, kvazianaliticheskie otnositelno nekotorykh lineinykh differentsialnykh operatorov, Kandidatskaya dissertatsiya, In-t matem. SO AN SSSR, Novosibirsk, 1967 | Zbl

[6] Lelong P., “Sur une proprièté de quasianalyticite des fonctions de plusieurs variables”, Compt. rend. Akad. Sci. Paris, 232 (1951), 1178 | MR | Zbl

[7] Matsaev V. I., Ronkin L. I., “Kvazianaliticheskie klassy funktsii ot neskolkikh peremennykh”, Zap. matem. otd. fiz.-matem. fak. i kharkovsk. matem. ob-va, 27 , ser. 4, 1961, 49–57

[8] Ronkin L. I., “O kvazianaliticheskikh klassakh funktsii neskolkikh peremennykh”, Dokl. AN SSSR, 146:3 (1962), 546–549 | MR | Zbl

[9] Khryptun V. G., “Reshenie nekotorykh differentsialnykh uravnenii v klassakh funktsii, kvazianaliticheskikh otnositelno lineinykh differentsialnykh operatorov”, Differents. uravneniya, V:4 (1969), 724–734

[10] Khryptun V. G., “Pro funktsii dvokh zminnikh, kvazianalitichni vidnosno giperbolichnikh liniinikh differentsialnikh operatoriv drugogo poryadku”, Dopov. AN URSR. (A), 1967, no. 2, 139–144

[11] Khryptun V. G., “Funktsii, analiticheskie otnositelno giperbolicheskogo operatora s dvumya nezavisimymi peremennymi”, Dokl. AN SSSR, 122:1 (1958), 26–28

[12] Khryptun V. G., “O neobkhodimykh usloviyakh operatornoi kvazianalitichnosti”, Differents. uravneniya, V:9 (1969), 1690–1699 | MR