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W. Schempp
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دانلود کتاب Harmonic Analysis on the Heisenberg nilpotent Lie group.
by W. Schempp|
|
عنوان فارسی: تجزیه و تحلیل هماهنگ در گروه دروغ توانمند Heisenberg. |
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جزییات کتاب
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.
... - 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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