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@article{DVMG_2019_19_2_a1, author = {V. A. Bykovskii}, title = {Decomposition in terms of special functions}, journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal}, pages = {138--172}, publisher = {mathdoc}, volume = {19}, number = {2}, year = {2019}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/DVMG_2019_19_2_a1/} }
V. A. Bykovskii. Decomposition in terms of special functions. Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 2, pp. 138-172. http://geodesic.mathdoc.fr/item/DVMG_2019_19_2_a1/
[1] E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, The Clarendon Press, Oxford, 1937 ; Vvedenie v teoriyu integralov Fure, OGIZ, M.-L., 1948 | MR | Zbl | MR
[2] J. Wimp, “A class of integral transforms”, Proc. Edinburgh Math. Soc., 14:1 (1964), 33–40 | DOI | MR | Zbl
[3] N. N. Lebedev, “O razlozhenii proizvolnoi funktsii v integral po kvadratam funktsii Makdonalda s mnimym znachkom”, Sib. matem. zhurn., 3:2 (1962), 213–222 | MR | Zbl
[4] M. N. Olevskii, “O predstavlenii proizvolnoi funktsii v vide integrala s yadrom, yavlyayuschimsya gipergeometricheskoi funktsiei”, DAN SSSR, 69:1 (1949), 11–14
[5] R. W. Bruggeman, Fourier Coefficients of Automorphic Forms, v. 865, Springer-Verlag Berlin Heidelberg, 1981 | MR | Zbl
[6] N. V. Kuznetsov, “Gipoteza Petersona dlya parabolicheskikh form vesa nul i gipoteza Linnika. Summy summ Kloostermana”, Matem. sb., 111(53):3 (1980), 334–383 | MR | Zbl
[7] N. Ya. Vilenkin, A. U. Klimyk, “Predstavleniya grupp Li i spetsialnye funktsii”, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Fundam. napravleniya, v. 59, VINITI, M., 1990, 145–264
[8] Y. Motohashi, “A trace formula for the Picard group, I”, Proc. Japan Acad. Ser. A Math. Sci., 72:8 (1996), 183–186 | DOI | MR | Zbl
[9] A. Erdélyi, et al., Higher Transcendental Functions, v. I and II, McGraw Hill, New York, 1953 ; Vysshie transtsendentnye funktsii, v. I, 1973; v. II, 1974 | MR