On Carleman Integral Operators
Canadian mathematical bulletin, Tome 13 (1970) no. 3, pp. 351-357

Voir la notice de l'article provenant de la source Cambridge University Press

L 2(a, b) 1 with the property 2 were originally defined by T. Carleman [4]. Here he imposed on the kernel the conditions of measurability and hermiticity, 3 for all x with the exception of a countable set with a finite number of limit points and 4 where J δ denotes the interval [a, b] with the exception of subintervals |x - ξv| < δ; here ξv represents a finite set of points for which (3) fails to hold.
Costley, Charles G. On Carleman Integral Operators. Canadian mathematical bulletin, Tome 13 (1970) no. 3, pp. 351-357. doi: 10.4153/CMB-1970-066-3
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[1] 1. Achiezer, N. I., Upschi Math. Nauk. 5 (1947), (21) (93). Google Scholar

[2] 2. Stone, M. H., Linear transformations in Hilbert space and their applications to analysis, American Math. Soc. Colloq. Publ., Vol. XV, New York, 1932. Google Scholar

[3] 3. Korotkov, V. B., Integral operators with Carleman kernels, Differencial'nye Uravnenija 2, (1965), 252-265. (Math. Reviews Vol. 32 (1966), Part 2). Google Scholar

[4] 4. Carleman, T., Sur les équations intégrales singulières à noyau reél et symétrique, Uppsala 1923. Google Scholar

[5] 5. Carleman, T., La théorie des équations intégrales singulières et ses applications, Ann. Inst. H. Poincaré, 1931. Google Scholar

[6] 6. Riesz, M. F., Uber système integrierbarer Funktionen, Math. Ann., 1910. Google Scholar

[7] 7. Targonski, G. I., Seminar on functional operators and equations. Lecture Notes in Mathematics No. 33, Springer-Verlag, Berlin, 1962. Google Scholar

[8] 8. Misra, B., Speiser, D., and Targonski, Gy., Helv, Phys. Acta 36 (1963), 963-980. Google Scholar

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