FOURIER-TRANSFORMS OF SMOOTH FUNCTIONS ON CERTAIN NILPOTENT LIE-GROUPS

被引：15

作者：

CORWIN, L

GREENLEAF, FP

机构：

[1] INST ADV STUDY,PRINCETON,NJ 08540

[2] NYU,COURANT INST MATH SCI,NEW YORK,NY 10012

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1980年 / 37卷 / 02期

关键词：

D O I：

10.1016/0022-1236(80)90041-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：203 / 217

页数：15

共 14 条

[1]

Arthur J.G., 1970, THESIS YALE

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[3] CANONICAL FORMULA FOR DISTRIBUTION KERNELS OF PRIMARY PROJECTIONS IN L2 OF A NILMANIFOLD [J].

CORWIN, L ;

GREENLEAF, FP ;

PENNEY, R .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1977, 30 (03) :355-372

[4]

Dixmier J., 1959, CAN J MATH, V11, P321

[5] FOURIER-ANALYSIS ON THE HEISENBERG-GROUP .1. SCHWARTZ SPACE [J].

GELLER, D .

JOURNAL OF FUNCTIONAL ANALYSIS, 1980, 36 (02) :205-254

[6]

Gohberg I., 1969, INTRO THEORY LINEAR, V18

[7] CONNECTION BETWEEN NILPOTENT GROUPS AND OSCILLATORY INTEGRALS ASSOCIATED TO SINGULARITIES [J].

HOWE, RE .

PACIFIC JOURNAL OF MATHEMATICS, 1977, 73 (02) :329-363

[8]

KIRILLOV AA, 1962, USPEHI MAT NAUK, V17, P57

[9]

LOOMIS LH, ABSTRACT HARMONIC AN

[10] SQUARE INTEGRABLE REPRESENTATIONS OF NILPOTENT GROUPS [J].

MOORE, CC ;

WOLF, JA .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 185 (458) :445-462

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