m****m
发帖数: 2211 | 1 水木高人SayMyName提供的链接：
http://www.springerlink.com/content/e4823102v1914787/
马在他的文章里这么说的
Referring to the author's thesis at Columbia University around 1996, Phong a
nd Stein [56] were able to announce a general conclusion in 1997 that the os
cillatory integral operator in (1) with x,y\in R^1 and real analytic phase f
unction has the same decay rate as Varchenko's conclusion for oscillatory in
tegrals. In the author's thesis, and also in Phong and Stein's paper, the sp
ace is partitioned according to the Newton Polygon of the phase Hessian S"_{
xy} (x,y). In order to skirt around the difficulty of applying Jacobi transf
ormation to integral operators, an algorithm of space partition and operator
decomposition parallel to the algorithm of resolution of singularity is con
trived. A nice thing about this decomposition algorithm is that we have an o
ptimal decay rate for each operator piece procured through the algorithm. Fu
rther, a technique of mixed variables in the thesis is also promising for us
hering resolution of singularity into operators of higher dimensions. | n******t
发帖数: 4406 | 2 糙，这就没人讨论了。看来都是看八卦起劲。
a
os
f
in
sp
_{
transf
【在 m****m 的大作中提到】
: 水木高人SayMyName提供的链接：
: http://www.springerlink.com/content/e4823102v1914787/
: 马在他的文章里这么说的
: Referring to the author's thesis at Columbia University around 1996, Phong a
: nd Stein [56] were able to announce a general conclusion in 1997 that the os
: cillatory integral operator in (1) with x,y\in R^1 and real analytic phase f
: unction has the same decay rate as Varchenko's conclusion for oscillatory in
: tegrals. In the author's thesis, and also in Phong and Stein's paper, the sp
: ace is partitioned according to the Newton Polygon of the phase Hessian S"_{
: xy} (x,y). In order to skirt around the difficulty of applying Jacobi transf
| g****t
发帖数: 31659 | 3 我倒是抽空看了点oscillatory integral的介绍资料
但显然不够资格发言阿
【在 n******t 的大作中提到】
: 糙，这就没人讨论了。看来都是看八卦起劲。
:
: a
: os
: f
: in
: sp
: _{
: transf
|
|
