A BLOCK SPIN CONSTRUCTION OF ONDELETTES .1. LEMARIE FUNCTIONS

被引：229

作者：

BATTLE, G

机构：

[1] Mathematics Department, Cornell University, Ithaca, 14853, New York

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1987年 / 110卷 / 04期

关键词：

D O I：

10.1007/BF01205550

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using block spin assignments, we construct an L2-orthonormal basis consisting of dyadic scalings and translates of just a finite number of functions. These functions have exponential localization, and for even values of a construction parameter M one can make them class CM-1 with vanishing moments up to order M inclusive. Such a basis has an important application to phase cell cluster expansions in quantum field theory. © 1987 Springer-Verlag.

引用

页码：601 / 615

页数：15

共 9 条

[1]

BATTLE G, IN PRESS COMMUN MATH

[2] A PHASE CELL CLUSTER-EXPANSION FOR EUCLIDEAN FIELD-THEORIES [J].