Carleman and semi-Carleman operators
Authors:
M. Schreiber and Gy. Targonski
Journal:
Proc. Amer. Math. Soc. 24 (1970), 293-299
MSC:
Primary 47.70
DOI:
https://doi.org/10.1090/S0002-9939-1970-0254682-9
MathSciNet review:
0254682
Full-text PDF Free Access
References | Similar Articles | Additional Information
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T. Carleman, Sur les équations singulières a noyaux réelles et symériques, Almqvist and Wiksells, Uppsala, 1923.
J. v. Neumann, “Charakterisierung des Spektrums eines Integraloperators,” in Collected works. Vol. 4: Continuous geometry and other topics, Pergamon Press, Oxford, 1962, pp. 38-55. MR 28 #1103.
H. Weyl, Rend. Circ. Mat. Palermo 27 (1909), 373-392.
- Marshall Harvey Stone, Linear transformations in Hilbert space, American Mathematical Society Colloquium Publications, vol. 15, American Mathematical Society, Providence, RI, 1990. Reprint of the 1932 original. MR 1451877
- M. Schreiber, Semi-Carleman operators, Acta Sci. Math. (Szeged) 24 (1963), 82–87. MR 152889
- B. Misra, D. Speiser, and G. Targonski, Integral operators in the theory of scattering, Helv. Phys. Acta 36 (1963), 963–980. MR 163621
- György I. Targonski, On Carleman integral operators, Proc. Amer. Math. Soc. 18 (1967), 450–456. MR 215139, DOI https://doi.org/10.1090/S0002-9939-1967-0215139-4
- György I. Targonski, Convergence theorems derived from the theory of Carleman integral operators, Compositio Math. 18 (1967), 148–154 (1967). MR 220109
- György I. Targonski, Seminar on functional operators and equations, Lecture Notes in Mathematics, No. 33, Springer-Verlag, Berlin-New York, 1967. Forschungsinstitut für Mathematik, ETH, Zürich, October 1965/July 1966. MR 0217655
- Adriaan Cornelis Zaanen, Linear analysis. Measure and integral, Banach and Hilbert space, linear integral equations, Interscience Publishers Inc., New York; North-Holland Publishing Co., Amsterdam; P. Noordhoff N.V., Groningen, 1953. MR 0061752
- V. B. Korotkov, On integral operators with Carleman kernels, Dokl. Akad. Nauk SSSR 165 (1965), 748–751 (Russian). MR 0209921 J. Weidmann (to appear).
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Article copyright:
© Copyright 1970
American Mathematical Society