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Harmonic analysis on nilpotent groups and singular integrals I. Oscillatory integrals

โœ Scribed by Fulvio Ricci; E.M Stein


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
736 KB
Volume
73
Category
Article
ISSN
0022-1236

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๐Ÿ“œ SIMILAR VOLUMES


Singular Integrals with Flag Kernels and
โœ Alexander Nagel; Fulvio Ricci; Elias M Stein ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 499 KB

We study a class of operators on nilpotent Lie groups G given by convolution with flag kernels. These are special kinds of product-type distributions whose singularities are supported on an increasing subspace (0 We show that product kernels can be written as finite sums of flag kernels, that flag

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The paper concentrates on the numerical evaluation of nearly singular kernel integrals commonly encountered in boundary element analysis. Limitations of the method developed recently by Huang and Cruse (1993) for the direct evaluation of nearly singular kernel integrals are analysed and pointed out.

On the evaluation of nearly singular ker
โœ Wu, S. ;Lu, Pan-An ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 449 KB ๐Ÿ‘ 2 views

The paper attempts to improve the efficiency of a general method developed previously for computing nearly singular kernel integrals. Three new formulations are presented by following an approach similar to that used in the previous method. Their numerical efficiency is compared with the previous me