Voir la notice de l'article provenant de la source Cambridge University Press
Schechter, Martin. Multiplication Operators. Canadian journal of mathematics, Tome 41 (1989) no. 2, pp. 234-249. doi: 10.4153/CJM-1989-012-4
@article{10_4153_CJM_1989_012_4,
author = {Schechter, Martin},
title = {Multiplication {Operators}},
journal = {Canadian journal of mathematics},
pages = {234--249},
year = {1989},
volume = {41},
number = {2},
doi = {10.4153/CJM-1989-012-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1989-012-4/}
}
[1] 1. Adams, D.R., On the existence of capacitary strong type estimates in Rn , Ark. Mat. 14 (1976), 125–140. Google Scholar
[2] 2. Aronszajn, N. and Smith, K.T., Theory of Bessel potentials, Ann. Inst. Fourier, Grenable 11 (1961), 385–475. Google Scholar
[3] 3. Balslev, E., The essential spectrum of elliptic differential operators in LP(R), Trans. Amer. Math. Soc. 116 (1965), 193–217. Google Scholar
[4] 4. Berger, M.S. and Schechter, M., Embedding theorems and quasi-linear elliptic boundary value problems for unbounded domains, Trans. Amer. Math. Soc. 172 (1972), 261–278. Google Scholar
[5] 5. Bergh, J. and Lofstrom, J., Interpolation spaces, (Springer-Verlag, 1976). Google Scholar
[6] 6. Browder, F.E., On the spectral theory of elliptic differential operators, Math. Ann. 142 (1961), 22–130. Google Scholar
[7] 7. Courant, R. and Hilbert, D., Methods of mathematical physics, I (Interscience, 1953). Google Scholar
[8] 8. Fefferman, C.L., The uncertainty principle, Bull. Amer. Math. Soc. 9 (1983), 129–206. Google Scholar
[9] 9. Fournier, J. and Stewart, J., Amalgams of Lp and Ip , Bull. Amer. Math. Soc. 13 (1985), 1–21. Google Scholar
[10] 10. Kato, T., Fundamental properties of Hamiltonian operators of Schrodinger type, Trans. Amer. Math. Soc. 70(1951), 195–211. Google Scholar
[11] 11. Kerman, R. and Sawyer, E., The trace inequality and eigenvalue estimates for Schrodinger operators, to appear. Google Scholar
[12] 12. Mazja, V.G., On the negative spectrum of multidimensional Schrodinger operator, Dokl. Akad. Dauk SSSR 144 (1962), 721–722. Google Scholar
[13] 13. Muckenhoupt, B. and Wheeden, R.L., Weighted norm inequalities for fractional inequalities, Trans. Amer. Math. Soc. 192 (1974), 251–275. Google Scholar
[14] 14. Schechter, M., Imbedding estimates involving new norms and applications, Bull. Amer. Math. Soc. 11 (1984) 163–166. Google Scholar
[15] 15. Schechter, M., Self adjoint operators, spectral and scattering theory, variational techniques, non-linear partial differential equations and related topics, Differential Equations, (North Holland Mathematics Studies 92, Amsterdam, 1984), 501–509. Google Scholar
[16] 16. Schechter, M., Spectra of partial differential operators (North Holland,Amsterdam, 1986). Google Scholar
[17] 17. Schechter, M., Hamiltonians for singular potentials, Indiana Univ. Math. J. 22 (1972), 483–503. Google Scholar
[18] 18. Schechter, M., On the essential spectrum of an elliptic operator perturbed by a potential, J. d'Analyse Math. 22 (1969), 87–115. Google Scholar
[19] 19. Schechter, M., On the invariance of the essential spectrum of an arbitrary operator 11, Ricerche di Mat. 16 (1967), 3–26. Google Scholar
[20] 20. Schechter, M., The spectrum of the Schrodinger operators, to appear. Google Scholar
[21] 21. Simon, B. Quantum mechanics for Hamiltonians defined as quadratic forms (Princeton Univ. Press, 1971). Google Scholar
[22] 22. Stummel, F., Singular e elliptische Differential operatoren in Hilbertschen Raumen, Math. Ann. 132 (1956), 150–176. Google Scholar
Cité par Sources :