Intégrales ultrasingulières

Ultrasingular integrals

Authors

  • Paul Cocârlan Polytechnic Institute of Bucharest, Romania
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References

Tricomi, F.G., Formula d'inversione dell'ordine di due integrazioni doppie "con asterisco" Rend. Acad. Naz. Lincei, 3, ser. 6-a, fasc. 9, 536-539 (1926).

Giraud, Georges, Équations à intégrales principales; étude suivie d'une application. (French) Ann. Sci. École Norm. Sup. (3) 51 (1934), 251-372, MR1509344, https://doi.org/10.24033/asens.842

Mihlin, S. G. Mnogomernye singulyarnye integraly i integral'nye uravneniya. (Russian) [Higher-dimensional singular integrals and integral equations] Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow 1962 254 pp., MR0155165.

Calderon, A. P., Singular integrals. (Spanish) Segundo symposium sobre algunos problemas matemáticos que se están estudiando en Latino América, Julio, 1954, pp. 319--328. Centro de Cooperación Científica de la UNESCO para América Latina, Montevideo, Uruguay, 1954, MR0072986.

Calderon, A. P.; Zygmund, A., On the existence of certain singular integrals. Acta Math. 88, (1952). 85-139, MR0052553, https://doi.org/10.1007/bf02392130

Cotlar, M., Condiciones de Continuidad de Operatores Potenciales y de Hilvert, Universidad Nacional de Buenor ires, 1956.

Stein, E.M., Intégrales singulières et fonctions différentiables de plusieurs variables, Publication Math. L'Orsay, Oct.1966 - Mars 1967, chap. I a VI, Avril-Mai 1968, chap. VII et VIII.

Fox, Charles, A generalization of the Cauchy principal value. Canad. J. Math. 9 (1957), 110-117, MR0092037, https://doi.org/10.4153/cjm-1957-015-1

Hadamard, J., Lectures on Caucy's Problem in Linear Partial Diff, Eq., N.V., 1952.

Wheeden, Richard L., Hypersingular integrals and summability of Fourier integrals and series. 1967 Singular Integrals (Proc. Sympos. Pure Math., Chicago, Ill., 1966) pp. 336-369 Amer. Math. Soc., Providence, R.I., MR0242029, https://doi.org/10.1090/pspum/010/0242029

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Published

1982-08-01

How to Cite

Cocârlan, P. (1982). Intégrales ultrasingulières: Ultrasingular integrals. Anal. Numér. Théor. Approx., 11(1), 35–40. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1982-vol11-nos1-2-art4

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Vol 11, Nos 1-2 (1982)

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Articles

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