Regular singular asymptotics
Regular singular asymptotics
复制标题
正则奇异渐近
DOI：
10.1016/0001-8708(85)90114-8
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发表时间：
1985
影响因子：
1.7
通讯作者：
R. Seeley
中科院分区：
文献类型：
--
作者：
J. Brüning;R. Seeley
Callias[3]把它当作u bbb3，在这种情况下A本质上是自伴随的。解不具有有限迹，但它具有由积分给出的“分布迹”。在Schwartz空间Y （R '）中表示q5。这是（Ol）的一个例子，函数cr (x, c)= x4 (x) Z ' ' (c) J& (c)的展开形式为[- i，[-*，…]在任何开放扇区，As [+ cc]≤7r/2-s。这个例子将在下面的第3节中展开，第4节将其推广到（0.2）中的项u是一个Cw函数，其中u (O)>-i和lu (x) j< C （1+ x）。这是133 -8708/85 s7。50
Callias [3] treats this for u> 3, in which case A is essentially self-adjoint. The resolvent does not have finite trace, but it does have a “distributional trace” given by the integral. for q5 in the Schwartz space Y (R’). This is an example of (Ol), and the function cr (x, c)= x4 (x) Z”(c) J& (c) has an expansion in terms of [-I,[-*,... as [+ cc in any open sector iarg ci c 7r/2-s. This example is developed in Section 3 below, and Section 4 generalizes it to the case where the term u in (0.2) is a Cw function with u (O)>-i and lu (x) j< C (1+ x). This is an 133 oool-8708/85 s7. 50