Abstract
Singular quadratic forms are encountered in numerous mathematical and physical problems. Thus, in mathematical physics, the investigation of singular potentials is connected with the analysis of formal mathematical expressions which are meaningful only as quadratic forms. In model problems of quantum physics, some requirements (such as relativistic invariance or infiniteness of the number of degrees of freedom) necessarily lead to the appearance of quadratic forms connected with generalized functions. A large class of singular forms arises in the course of investigation of so-called potentials with small supports, i.e., potentials concentrated on sets of measure zero (see, e.g., [AdH], [AdP], [AGHKH], [AFHKKL], [AHKS1], [AHKS2]. [A1K2], [A1K3], [AGS], [Ara], [BeP], [Bra2], [BEKS], [BrT], [Cheb], [Chr], [Chu], [Dan], [DFT1], [DeO], [Hed], [Hep], [HKHJWL], [Jos], [KaM], [KrP], [Nel], [PeG], [Por], [She], and [TuP]).
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© 1999 Springer Science+Business Media Dordrecht
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Koshmanenko, V. (1999). Singular Quadratic Forms. In: Singular Quadratic Forms in Perturbation Theory. Mathematics and Its Applications, vol 474. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4619-7_3
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DOI: https://doi.org/10.1007/978-94-011-4619-7_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5952-7
Online ISBN: 978-94-011-4619-7
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