Voir la notice de l'article provenant de la source Math-Net.Ru
@article{SJVM_2015_18_3_a0, author = {A. L. Balandin}, title = {Tomography of force-free fields}, journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki}, pages = {237--253}, publisher = {mathdoc}, volume = {18}, number = {3}, year = {2015}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/SJVM_2015_18_3_a0/} }
A. L. Balandin. Tomography of force-free fields. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 18 (2015) no. 3, pp. 237-253. http://geodesic.mathdoc.fr/item/SJVM_2015_18_3_a0/
[1] Moffat G., Vozbuzhdenie magnitnogo polya v provodyashchej srede, Mir, M., 1980
[2] Chandrasekhar S., Kendall P. C., “On force-free magnetic fields”, Astrophys. J., 126 (1957), 457–460 | DOI | MR
[3] Chandrasekhar S., “On force-free magnetic fields”, Proc. Nat. Acad. Sci. of USA, 42:1 (1956), 1–5 | DOI | MR | Zbl
[4] Bellan P. M., Fundamentals of Plasma Physics, Cambridge University Press, Cambridge, 2006
[5] Chandrasekhar S., Hydrodynamic and Hydromagnetic Stability, Oxford University Press, Oxford, 1961 | MR | Zbl
[6] Freire G. F., “Force-free magnetic-field problem”, Amer. J. Phys., 34 (1966), 567–570 | DOI
[7] Marsh G. E., Force-Free Magnetic Fields: Solution, Topology and Applications, World Scientific Publishing Co. Pte. Ltd, Singapore, 1996
[8] Howard J., “Vector tomography applications in plasma diagnostics”, Plasma Physics and Control Fusion, 38 (1996), 489–503 | DOI
[9] Balandin A. L., Ono Y., “Tomographic determination of plasma velocity with the use of ion Doppler spectroscopy”, Eur. Phys. J. D, 17 (2001), 337–344 | DOI
[10] Winters K. B., Rouseff D., “Tomographic reconstruction of stratified fluid flow”, IEEE Trans. Ultrason., Ferroelectr. Freq. Control, UFFC-40:1 (1993), 26–33 | DOI
[11] Norton S. J., “Tomographic reconstruction of 2-D vector fields: application to flow imaging”, J. Geophysics, 97 (1987), 161–168 | DOI
[12] Schuster Th., “An efficient mollifier method for three-dimensional vector tomography: convergence analysis and implementation”, Inverse Problems, 17:4 (2001), 739–766 | DOI | MR | Zbl
[13] Sparr G., Strahlen K., Lindstrom K., Persson H. W., “Doppler tomography for vector field”, Inverse Problems, 11:5 (1995), 1051–1061 | DOI | MR | Zbl
[14] Osman N. F., Prince J. L., “3D vector tomography on bounded domains”, Inverse Problems, 14:1 (1998), 185–196 | DOI | MR | Zbl
[15] Derevtsov E., Kazantsev S., Schuster T., “Polynomial bases for subspaces of potential and solenoidal vector fields in the unit ball of R3”, J. Inv. Ill-Posed Prob., 15:1 (2007), 19–55 | DOI | MR | Zbl
[16] Varshalovich D. A., Moskalev A. N., Khersonskij V. K., Kvantovaya teoriya uglovogo momenta, Nauka, L., 1975
[17] Blatt D. Zh., Vajskopf V., Teoreticheskaya yadernaya fizika. Prilozhenie II, IL, M., 1954 | Zbl
[18] Moses H. E., “The use of vector spherical harmonics in global meteorology and aeronomy”, J. Atmospheric Sci., 31 (1974), 1490–1500 | 2.0.CO;2 class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR
[19] Hill E. H., “The theory of vector spherical harmonics”, Amer. J. Phys., 22 (1953), 211–214 | DOI | MR
[20] Hansen W. W., “A new type of expansion in radiation problem”, Phys. Rev., 47 (1935), 139–143 | DOI | Zbl
[21] Stratton J. A., Electromagnetic Theory, McGraw-Hill, New York, 1941 | Zbl
[22] Colton D., Kress R., Inverse Acoustic and Electromagnetic Scattering Theory, Springer-Verlag, Berlin, 1992 | MR | Zbl
[23] Edmonds A. R., Angular Momentum in Quantum Mechanics, Princeton University Press, Princeton, NJ, 1974 | MR
[24] Cantarella J., DeTurck D., Gluck H., “Vector calculus and the topology of domains in 3-space”, Amer. Math. Month., 109:5 (2002), 409–442 | DOI | MR | Zbl
[25] Mors F. M., Feshbakh G., Metody teoreticheskoj fiziki, v. 1, 2, IL, M., 1958
[26] Bejtmen G., Erdeji A., Vysshie transtsendentnye funktsii, v. 2, Nauka, M., 1974
[27] Erdelyi A., Magnus W., Oberhettinger F., Tricomi F. G., Higher Transcendental Functions, v. 1, 2, McGraw-Hill, New York, 1953 | Zbl
[28] Natterer F., Matematicheskie aspekty komp'yuternoj tomografii, Mir, M., 1990 | MR
[29] Gradshtejn I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenij, IFML, M., 1962
[30] Natterer F., Wubbeling F., Mathematical Methods in Image Reconstruction, SIAM, Philadelphia, 2001 | MR | Zbl
[31] Bidenkharn L., Lauk Dzh., Uglovoj moment v kvantovoj fizike. Teoriya i prilozheniya, v. 1, Mir, M., 1984