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Another look at Cwikel’s inequality. (English) Zbl 0922.35106

Buslaev, V. (ed.) et al., Differential operators and spectral theory. M. Sh. Birman’s 70th anniversary collection. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 189(41), 247-254 (1999).
Summary: We point out the basic bound on the singular values of integral operators of the type \(a(x)b(D)\), from which Cwikel’s inequality and its generalizations can easily be derived.
For the entire collection see [Zbl 0911.00011].

MSC:

35P15 Estimates of eigenvalues in context of PDEs
45C05 Eigenvalue problems for integral equations
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