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Calculus on Heisenberg Manifolds. (AM-119), Volume 119
Af: Peter Charles Greiner, Richard Beals Engelsk Paperback
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Calculus on Heisenberg Manifolds. (AM-119), Volume 119
Af: Peter Charles Greiner, Richard Beals Engelsk Paperback

A classic treatment of the hypoelliptic calculus on Heisenberg Manifolds

The classical pseudodifferential calculus is well adapted to detailed study of elliptic operators such as the Laplacian associated to the De Rham complex. This book develops a full asymptotic calculus adapted to certain second order operators which are hypoelliptic but not elliptic. The motivating example is the operator _b associated to the ∂_b-complex on a CR-manifold. Like the Laplacian, _b is a natural operator of intrinsic interest, a prototype of a general class, and a test case. Principal terms of parametrices and other operators associated to _b are calculated on both the symbol side and the kernel side. It is hoped that this viewpoint on pseudodifferential operators will be fruitful in attacking other nonelliptic problems, including more degenerate cases of _b.

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

To mark the continued success of the series, all books are again available in paperback.

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A classic treatment of the hypoelliptic calculus on Heisenberg Manifolds

The classical pseudodifferential calculus is well adapted to detailed study of elliptic operators such as the Laplacian associated to the De Rham complex. This book develops a full asymptotic calculus adapted to certain second order operators which are hypoelliptic but not elliptic. The motivating example is the operator _b associated to the ∂_b-complex on a CR-manifold. Like the Laplacian, _b is a natural operator of intrinsic interest, a prototype of a general class, and a test case. Principal terms of parametrices and other operators associated to _b are calculated on both the symbol side and the kernel side. It is hoped that this viewpoint on pseudodifferential operators will be fruitful in attacking other nonelliptic problems, including more degenerate cases of _b.

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

To mark the continued success of the series, all books are again available in paperback.

Produktdetaljer
Sprog: Engelsk
Sider: 208
ISBN-13: 9780691085012
Indbinding: Paperback
Udgave:
ISBN-10: 0691085013
Kategori: Regning
Udg. Dato: 21 aug 1988
Længde: 0mm
Bredde: 229mm
Højde: 152mm
Oplagsdato: 21 aug 1988
Forfatter(e) Peter Charles Greiner, Richard Beals


Kategori Regning


Sprog Engelsk


Indbinding Paperback


Sider 208


Udgave


Længde 0mm


Bredde 229mm


Højde 152mm


Udg. Dato 21 aug 1988


Oplagsdato 21 aug 1988

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