Cwikel type estimate for the sandwiched Airy transform
Algebra i analiz, Tome 29 (2017) no. 2, pp. 127-138.

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     title = {Cwikel type estimate for the sandwiched {Airy} transform},
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V. A. Sloushch. Cwikel type estimate for the sandwiched Airy transform. Algebra i analiz, Tome 29 (2017) no. 2, pp. 127-138. http://geodesic.mathdoc.fr/item/AA_2017_29_2_a4/

[1] Slousch V. A., “Nekotorye obobscheniya otsenki Tsvikelya dlya integralnykh operatorov”, Tr. SPb. mat. o-va, 14, 2008, 169–196

[2] Birman M. Sh., Karadzhov G. E., Solomyak M. Z., “Boundedness conditions and spectrum estimates for the operators $b(X)a(D)$ and their analogs”, Adv. Soviet Math., 7, Amer. Math. Soc., Providence, RI, 1991, 85–106 | MR

[3] Birman M. Sh., Solomyak M. Z., “Otsenki singulyarnykh chisel integralnykh operatorov”, Uspekhi mat. nauk, 32:1(193) (1977), 17–84 | MR | Zbl

[4] Simon B., Trace ideals and their applications, London Math. Soc. Lecture Notes Ser., 35, Cambridge Univ. Press, Cambridge, 1979 | MR | Zbl

[5] Yafaev D. R., “A trace formula for the Dirac operator”, Bull. London Math. Soc., 37:6 (2005), 908–918 | DOI | MR | Zbl

[6] Slousch V. A., “Otsenka tipa Tsvikelya kak sledstvie nekotorykh svoistv teplovogo yadra”, Algebra i analiz, 25:5 (2013), 173–201 | MR | Zbl

[7] Sloushch V. A., “Estimates for the singular numbers of the sandwiched Airy transformation”, Proc. Intern. Conf. “Days on Diffraction”, 2016 (to appear)

[8] Rotfeld S. Yu., “O singulyarnykh chislakh summy vpolne nepreryvnykh operatorov”, Probl. mat. fiz., 3, LGU, L., 1968, 81–87

[9] Birman M. Sh., Solomyak M. Z., Spektralnaya teoriya samosopryazhennykh operatorov v gilbertovom prostranstve, Lan, SPb., 2010

[10] Abramowitz M., Stegun I. A., Handbook of mathematical functions with formulas, graphs, and mathematical tables, Nat. Bureau Stand. Appl. Math. Ser., 55, Washington, D.C., 1964 | MR

[11] Avron J. E., Herbst I. W., “Spectral and scattering theory of Schrodinger operators related to the Stark effect”, Comm. Math. Phys., 52:3 (1977), 239–254 ; http://projecteuclid.org/euclid.cmp/1103900538 | DOI | MR | Zbl