Geodesic
Inversion of some Riesz potentials with oscillating characteristics in the nonelliptic case
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (1999), pp. 77-80.

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

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V. A. Nogin; K. S. Shevchenko. Inversion of some Riesz potentials with oscillating characteristics in the nonelliptic case. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (1999), pp. 77-80. http://geodesic.mathdoc.fr/item/IVM_1999_10_a12/

[1] Samko S. G., Gipersingulyarnye integraly i ikh prilozheniya, Izd-vo Rostovsk. un-ta, Rostov n/D., 1984, 208 pp. | MR | Zbl

[2] Samko S. G., Kilbas A. A., Marichev O. I., Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya, Nauka i tekhn., Minsk, 1987, 688 pp. | MR | Zbl

[3] Samko S. G., “Inversion theorems for potential-type integral transforms in $R^n$ and on $S^{n-1}$”, Int. Transf. and Special Funct., 1:2 (1993), 145–163 | DOI | MR | Zbl

[4] Zavolzhenskii M. M., Nogin V. A., “Approksimativnyi podkhod k obrascheniyu obobschennykh potentsialov Rissa”, Dokl. RAN, 324:4 (1992), 738–741 | MR

[5] Zavolzhenskii M. M., Obraschenie obobschennykh potentsialov Rissa v neellipticheskom sluchae, Dep. v VINITI 29.07.92, No 2495-V92, Rostovsk. un-t, Rostov-na-Donu, 1992, 18 pp.

[6] Zavolzhenskii M. M., Nogin V. A., Ob odnom metode obrascheniya operatorov tipa potentsiala, Dep. v VINITI 06.03.91, No 978-V91, Rostovsk. un-t, Rostov-na-Donu, 1991, 81 pp.

[7] Rubin B. S., “One sided potentials, the spaces $L_{p,r}^\alpha$ and the inversion of Riesz and Bessel potentials in the half-space”, Math. Nachr., 136 (1988), 177–208 | DOI | MR | Zbl

[8] Alisultanova E. D., Zavolzhenskii M. M., Nogin V. A., Obraschenie potentsialov Rissa s ostsilliruyuschimi kharakteristikami, Dep. v VINITI 27.12.91, No 191-V92, Rostovsk. un-t, Rostov-na-Donu, 1992, 23 pp.

[9] Samko S. G., “Ob osnovnykh funktsiyakh, ischezayuschikh na zadannom mnozhestve, i o delenii na funktsii”, Matem. zametki, 21:5 (1977), 677–689 | MR | Zbl

[10] Samko S. G., “O plotnosti v $L_p(R^n)$ prostranstv $\Phi_V$ tipa Lizorkina”, Matem. zametki, 31:6 (1982), 855–865 | MR | Zbl

[11] Samko S. G., “Denseness of the spaces $\Phi_V$ of Lizorkin type in the mixed $L^{\overline{p}}(R^n)$-spaces”, Stud. Math., 1995, no. 3, 199–210 | MR | Zbl