Специальные функции и теория представлений групп - Виленкин Н.Я.
Скачать (прямая ссылка):
264. Hurevitsch А. (Г уревич A.), Unitary representation in Hilbert space of a compact topological group, Матем. сб. 13, № 1, 1943, 79—86.
265. I n о n u E., W i g n e r E. P., On the contraction of groups and their representations, Proc. Nat. Acad. Sci. USA. 39, M° 6, 1953, 510—524.
266. ltd S., Unitary representations of some linear groups. I, II, Nagoya Math. J. 4, 1952, 1—13; 5, 1953, 79—96,
574
ЛИТЕРАТУРА
267. Kohari A., Harmonic Analysis on the Group of Linear Transformations
of the Straigth Line, Proc. Japan. Acad. 37, № 5, 1961, 250—254.
268. К os t ant B., Lie group representations on polynomial rings, Amer. J.
Math. 85, № 3, 1963, 327—404.
269. К u n z e R. A., Stein E. М., Analytic continuation of the principal series, Bull. Amer. Math. Soc. 67, № 6, 1961, 593—596.
270. К u n z e R. A., Stein E. М., Uniformly bounded representations and
harmonic analysis of the 2x2 real unimodular group, I, II, Amer. J. Math.
82, № i, i96o, 1—62; 83, № 4, 1961, 723—786.
271. L e h r e r - 11 a m e d Y., On the direct calculation of the representations of
the three-dimensional pure rotation group. Proc. Cambridge Philos. Soc.
60, № 1, 1964, 61—66.
272. Lomont J. S., Decomposition of Direct Products of Representations of the Inhomogeneous Lorentz Group, J. of Math. Phys. 1, № 2, I960, 237—
243.
273. Maass H., Spherical functions and quadratic forms, J. Indian Math. Soc.
20, № 1—3, 1956, 117—162.
274. Maass H., Zetafunktiopen mit GroBencharakteren und Kugelfunktionen, Math. Ann. 134, № i, 1957, 1—32.
275. Maass H., Zur Theorie der Kugelfunktionen einer Matrixvariablen, Math. Ann. 135, № 5, 1958, 391—416.
276. Maass H., Zur Theorie der harmonischen Formen, Math. Ann. 137, №2,
1959, 142—149.
277. Mac key G., Induced representations of locally compact groups, I, II,
Ann. of Math. 55, N° 1, 1952, 101—139; 58, № 2, 1953, 193—221.
278. M a u t n e r F. I., Unitary representations of locally compact groups, I, II;
Ann. of Math., v. 51, № 1, 1950, 1—25; 52, № 1950, 528—556.
279. M a u t n e r F. I., Fourier analysis and symmetric spaces, Proc. Nat. Acad.
Sci. USA 37, 1951, 529—533.
280. Mautner F. I., Induced representations, Amer. J. Math., 74, № 3, 1952, 737—758.
281. Mautner F. 1., Spherical functions over $-adic fields I, II, Amer. J. of Math. 80, № 2, 1958, 441—457; 86, № 1, 1964, 171—200.
282. Miller W., Some Applications of the Representation Theory of the Euclidean Group in Three-Space, Comm, on pure and appl. math. 17, № 4,
1964, 527—540.
283. О r i h a r a A., Bessel functions and the euclidean motion group, Tohoku Math. J. 13, № 1, 1961, 66—74.
284. Peter F., Weyl H., Die Vollstandigkeit der primitiven Darstellungen einer geschlossenen kontinuierlichen Gruppe, Math. Ann. 97, 1927, 737— 755.
285. Pukanszky L., On the Kronecker products of irreducible representations of the 2x2 real unimodular group, 1, Trans. Amer. Math. Soc. 100, № 1, 1961, 116—152.
286. Pukanszky L., On the Kronecker product of irreducible unitary representations of the inhomogeneous Lorcnts group, J. Math. Mech. 10, № 3, 1961, 475—491.
287. Pukanszky L., The Plancherel Formula for the Universal Covering Group of SL (R, 2), Math. Ann. 156, № 2, 1964, 96—143.
288. Rubunowicz A., Ober ein Additions-theorem fur Laguerreschen Polynomen, Zeeman Festschr., 1935, 143—147.
289. S a i t о М., Representations unitaires du groupe des deplacements du plan ф-adique. Proc. Japan Acad. 39, № 7, 1963, 407—409.
290. Schur I., Neue Anwendungen der Integralrechnung auf Probleme der Invariantentheory, Sitzungsber. PreuB., Akad., Berlin, 1924, 189—208, 297—321, 346—355.
ЛИТЕРАТУРА
575
290а. S u g i u г а М., Representations of compact groups realized by spherical functions on symmetric spaces. Proc. Japan. Acad., 38 № 3, 1962, 111—
113.
291. Takahashi R., Sur les functions spheriques et la formule de Plancherel dans le groupe hyperbolique, Japan J. Math., 31, 1961, 55—90.
292. Takahashi L., Sur les representations unitaires des groupes de Lorentz generalises, Bull. Soc. Math. France, 91, № 3, 289—433.
293. T a к a h a s h i Т., Generalized spherical harmonics as representations, J. Phys. Soc. Japan 7, 1952, 307—312.
294. T a m in J. (Тамм И. E.), Die verallgemeinerten Kugelfunktionen und Wel-lenphysik, Zeitschr. fur Phys. 71, 141—150.
295. Tatsuuma N., Decomposition of representations of the three-dimensional Lorentz group. Proc. Japan Acad. 38, № 1, 1962, 12—14.
296. Tatsuuma N., Decomposition of Kronecker products of representations of the inhomogeneous Lorentz group. Proc. Japan Acad. 38, № 4, 1962, 156—160.
297. Thoma E., Die unitaren Darstellungen der univcrsellen Oberlagcrungs-gruppe der Bewegungsgruppe des Д2, Math. Ann., 134, № 5, 1958, 428'— 459.
298. Thomas L. H., On unitary representations of the group of De Sitter space, Ann. of Math., 1941, 42, № 1, 113—126.