ENGLISH

Harmonic Analysis on the Heisenberg nilpotent Lie group.

By W. Schempp

Book information

Publisher
Prentice Hall Press
Year
1986
ISBN
0582994535, 9780582994539, 0470203749
ISSN
0269-3674
Language
english
Format
PDF
Filesize
10 MB (10730693 bytes)
Series
Pitman Research Notes in Mathematics Series 147
Pages
vii, 199\206
Topic
Mathematics Algebra
DPI
600
Orientation
portrait
Paginated
yes
Scanned
yes
Time added
2016-01-12 15:18:13

Description

The real Heisenberg group A(R) is :a connected and simply_connected, two-step nilpotent, analytic group having 0·1e-dimensional centre C. Therefore A(R) fonns the simplest possible non-contnutative, non-compact Lie group. The name and the quantum mechanical meaning of the real Heisenberg nilpotent Lie group ... - A(R) stem from the fact that the Lie algebra n of A(R )over R is defined by the Heisenberg canonical co1T111uta ti ·:>n re 1 at ions. Thus , according to the philosophy of Niels Bohr, the geometric intuition necessarily fails to describe the action of A(R). It i '; the purpose of these notes to study nilpotent harmonic anal-ysis in a unified manner and specifically to determine the unitary dual of A(R) by an application of the Mackey machinery as well as by the Kirillov orbit picture.

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