Geodesic
Asymptotic expansions of generalized functions. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 1, pp. 98-109 Cet article a éte moissonné depuis la source Math-Net.Ru

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The concept of an asymptotic expansion of generalized functions is introduced. The asymptotic properties of various functionals are investigated; a method for obtaining expansions is formulated; and asymptotic series are obtained for the most frequently encountered generalized functions. 
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Yu. A. Brychkov. Asymptotic expansions of generalized functions. I. Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 1, pp. 98-109. http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a9/

[1] Yu. A. Brychkov, Yu. M. Shirokov, TMF, 4 (1970), 307

[2] D. S. Jones, Generalized functions, McGraw-Hill, 1966 | MR | Zbl

[3] M. J. Lighthill, Introduction to Fourier Analysis and Generalized functions, Cambridge Univ. Press, 1958 | MR

[4] L. Schwartz, Théorie des distributions, II, Paris, 1951 | MR

[5] A. Erdeyi, “The Asymptotic Evaluation of Certain Integrals”, Arch. Rat. Mech. Anal., 14:3 (1963), 217–260 | DOI | MR

[6] Yu. A. Brychkov, Yu. M. Shirokov, “O nekotorykh predelnykh formulakh dlya obobschennykh funktsii”, Matem. zametki, 2 (1967), 81 | MR | Zbl

[7] V. S. Vladimirov, Metody teorii funktsii mnogikh kompleksnykh peremennykh, «Nauka», 1964 | MR

[8] I. M. Gelfand, G. E. Shilov, Obobschennye funktsii i deistviya nad nimi, Obobschennye funktsii, vyp. 1, Fizmatgiz, 1958 | MR