雑誌名 教育総合研究叢書 = Studies on education
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The main purpose of this talk is to prove the unique existence of global in time solutions to (1) for the initial data in scaling critical spaces, and study the asymptotics of
The purpose of the present paper is to investigate mathematically the infrared (IR) catastrophe for Nelson’s Hamiltonian [25], in particular non- existence of ground state and
Lomadze, On the number of representations of numbers by positive quadratic forms with six variables.. (Russian)
Using the results of Sections 1 and 2 one can also define in the same way as in 3.4 the set of isomorphism classes of “double” degeneration data associated with the minimal
Equivalent conditions are obtained for weak convergence of iterates of positive contrac- tions in the L 1 -spaces for general von Neumann algebra and general JBW algebras, as well
The following result about dim X r−1 when p | r is stated without proof, as it follows from the more general Lemma 4.3 in Section 4..
Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A
Definition An embeddable tiled surface is a tiled surface which is actually achieved as the graph of singular leaves of some embedded orientable surface with closed braid