The Lax–Phillips scattering scheme on groups, and a functional model of a Lie algebra
Sbornik. Mathematics, Tome 76 (1993) no. 1, pp. 99-122 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A functional model is constructed for a Lie algebra $\{A_1,\,A_2\}$ of linear operators determined by the relation $[A_2,A_1]=iA_1$.
@article{SM_1993_76_1_a5,
     author = {V. A. Zolotarev},
     title = {The {Lax{\textendash}Phillips} scattering scheme on groups, and a~functional model of {a~Lie} algebra},
     journal = {Sbornik. Mathematics},
     pages = {99--122},
     year = {1993},
     volume = {76},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1993_76_1_a5/}
}
TY  - JOUR
AU  - V. A. Zolotarev
TI  - The Lax–Phillips scattering scheme on groups, and a functional model of a Lie algebra
JO  - Sbornik. Mathematics
PY  - 1993
SP  - 99
EP  - 122
VL  - 76
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1993_76_1_a5/
LA  - en
ID  - SM_1993_76_1_a5
ER  - 
%0 Journal Article
%A V. A. Zolotarev
%T The Lax–Phillips scattering scheme on groups, and a functional model of a Lie algebra
%J Sbornik. Mathematics
%D 1993
%P 99-122
%V 76
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1993_76_1_a5/
%G en
%F SM_1993_76_1_a5
V. A. Zolotarev. The Lax–Phillips scattering scheme on groups, and a functional model of a Lie algebra. Sbornik. Mathematics, Tome 76 (1993) no. 1, pp. 99-122. http://geodesic.mathdoc.fr/item/SM_1993_76_1_a5/

[1] Sekefalvi-Nad B., Foyash Ch., Garmonicheskii analiz operatorov v gilbertovom prostranstve, Mir, M., 1970 | MR

[2] Laks P., Fillips R., Teoriya rasseyaniya, Mir, M., 1971 | MR

[3] Laks P., Fillips R., Teoriya rasseyaniya dlya avtomorfnykh funktsii, Mir, M., 1979

[4] Pavlov B. S., “Teoriya dilatatsii i spektralnyi analiz nesamosopryazhennykh differentsialnykh operatorov”, Tr. sedmoi zimnei shkoly (Drogobych, 1974), Izd-vo TsEMI, 1976, 3–69

[5] Pavlov B. S., Faddeev L. D., “Teoriya rasseyaniya i avtomorfnye funktsii”, Zapiski nauch. sem. LOMI, 27, Nauka, L., 1972, 161–193 | MR | Zbl

[6] Semenov-Tyan-Shanskii M. A., “Garmonicheskii analiz na rimanovykh simmetricheskikh prostranstvakh otritsatelnoi krivizny i teoriya rasseyaniya”, Izv. AN SSSR. Ser. matem., 40:3 (1976), 562–592 | MR

[7] Zolotarev V. A., “Vremennye konusy i funktsionalnaya model na rimanovoi poverkhnosti”, Matem. sb., 181:7 (1990), 965–995

[8] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki. I. Funktsionalnyi analiz, Mir, M., 1977 | MR

[9] Zhelobenko D. P., Shtern A. I., Predstavleniya grupp Li, Nauka, M., 1983 | MR | Zbl

[10] Perelomov A. M., Obobschennye kogerentnye sostoyaniya i ikh primeneniya, Nauka, M., 1987 | MR | Zbl

[11] Mizokhata S., Teoriya uravnenii s chastnymi proizvodnymi, Mir, M., 1977

[12] Dzhrbashyan M. M., Integralnye preobrazovaniya i predstavleniya funktsii v kompleksnoi oblasti, Nauka, M., 1966 | Zbl

[13] Vilenkin N. Ya., Spetsialnye funktsii i teoriya predstavleniya grupp, Nauka, M., 1965 | MR | Zbl

[14] Viner N., Peli R., Preobrazovanie Fure v kompleksnoi oblasti, Nauka, M., 1964 | MR

[15] Springer Dzh., Vvedenie v teoriyu rimanovykh poverkhnostei, IL, M., 1960

[16] Nikolskii N. K., Khruschev S. V., “Funktsionalnaya model i nekotorye zadachi spektralnoi teorii funktsii”, Matematicheskaya fizika i kompleksnyi analiz, Vyp. 4, Tr. MIAN, 176, Nauka, M., 1987, 97–210 | MR | Zbl

[17] Pavlov B. S., Fedorov S. I., “Gruppa sdvigov i garmonicheskii analiz na rimanovoi poverkhnosti roda odin”, Algebra i analiz, 1:2 (1989), 132–168 | MR | Zbl

[18] Fedorov S. I., “Garmonicheskii analiz v mnogosvyaznoi oblasti, I”, Matem. sb., 181:6 (1990), 833–864 | Zbl

[19] Fedorov S. I., “Garmonicheskii analiz v mnogosvyaznoi oblasti, II”, Matem. sb., 181:7 (1990), 867–909 | Zbl

[20] Ostrovskii V. L., Samoilenko Yu. S., “Semeistva neogranichennykh samosopryazhennykh operatorov, svyazannykh nelievskimi sootnosheniyami”, Funkts. analiz i ego pril., 23:2 (1989), 67–68 | MR | Zbl

[21] Livshits M. S., Yantsevich A. A., Teoriya operatornykh uzlov v gilbertovykh prostranstvakh, Izd-vo Kharkov. un-ta, Kharkov, 1971 | MR