Fredholm Property of Integral Operators with Homogeneous Kernels of Compact Type in the L2 Space on the Heisenberg Group

Author:

Denisenko V. V.,Deundyak V. M.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference19 articles.

1. O. G. Avsyankin, “On the C*-algebra generated by multidimensional integral operators with homogeneous kernels and multiplicative translations,” Dokl. Math. 77 (2), 298–299 (2008) [transl. from Dokl. Akad. Nauk 419 (6), 727-728 (2008)].

2. O. G. Avsyankin, “On multidimensional integral operators with homogeneous kernels perturbed by one-sided multiplicative shift operators,” Vladikavkaz. Mat. Zh. 15 (1), 5–13 (2013).

3. L. Capogna, D. Danielli, S. D. Pauls, and J. T. Tyson, An Introduction to the Heisenberg Group and the Sub- Riemannian Isoperimetric Problem (Birkhäuser, Basel, 2007), Prog. Math. 259.

4. G. S. Chirikjian and A. B. Kyatkin, Engineering Applications of Noncommutative Harmonic Analysis. With Emphasis on Rotation and Motion Groups (CRC Press, Boca Raton, FL, 2001).

5. V. V. Denisenko and V. M. Deundyak, “On the boundedness of integral operators with homogeneous kernels on the Heisenberg group with Kor´anyi norm,” Izv. Vyssh. Uchebn. Zaved., Sev.-Kavk. Reg., Estestv. Nauki, No. 3-1, 21–27 (2017).

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