Asymptotics of operator and pseudo-differential equations:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
New York u.a.
Consultants Bureau
1988
|
| Series: | Contemporary Soviet mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Russ. übers. - EST: Asimptotičeskie metody rešenija psevdodifferencial'nych uravnenij <engl.> |
| Physical Description: | VI, 313 S. |
| ISBN: | 0306110148 |
Staff View
MARC
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| 245 | 1 | 0 | |a Asymptotics of operator and pseudo-differential equations |c V. P. Maslov and V. E. Nazainkinskii |
| 264 | 1 | |a New York u.a. |b Consultants Bureau |c 1988 | |
| 300 | |a VI, 313 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Contemporary Soviet mathematics | |
| 500 | |a Aus d. Russ. übers. - EST: Asimptotičeskie metody rešenija psevdodifferencial'nych uravnenij <engl.> | ||
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| 650 | 7 | |a équation avec opérateur |2 inriac | |
| 650 | 7 | |a équation différentielle |2 inriac | |
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| 650 | 4 | |a Operator equations |x Asymptotic theory | |
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| 650 | 0 | 7 | |a Asymptotik |0 (DE-588)4126634-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Pseudodifferentialgleichung |0 (DE-588)4121533-3 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1804120660257013760 |
|---|---|
| adam_text | Contents
CHAPTER I
INTRODUCTION
1. Examples and general statement of asymptotic problems
for linear equations. What do we call characteristics?
Relationships between characteristics and asymptotics 1
2. Quantization procedure and quantization conditions for
general symplectic manifolds 13
3. Feynman approach to operator calculus: its properties
and advantages 17
4. The outline of the book. Preliminary knowledge necessary
to read this book. The section dependence scheme 27
CHAPTER II
FUNCTIONAL CALCULUS
1. Introduction 30
2. Functions of a single operator 36
3. Functions of several operators 78
4. Regular representations 106
CHAPTER III
ASYMPTOTIC SOLUTIONS FOR PSEUDO DIFFERENTIAL EQUATIONS
1. The canonical operator on a Lagrangian manifold in IR2n 141
2. The canonical operator on a Lagrangian submanifold of a
symplectic manifold 180
3. The canonical sheaf on a symplectic IR manifold 193
v
4. Pseudo differential operators and the Cauchy problem
in the space F(M) 234
CHAPTER IV
QUASI INVERSION THEOREM FOR FUNCTIONS OF
A TUPLE OF NON COMMUTING OPERATORS
1. Equations with coefficients growing at infinity 249
2. Poisson algebras and nonlinear commutation relations 266
3. Poisson algebra with )j structure. Local considerations 270
4. Symplectic manifold of a Poisson algebra and proof of the
main theorem 293
References 310
|
| any_adam_object | 1 |
| author | Maslov, Viktor P. 1930- Nazajkinskij, Vladimir E. 1955- |
| author_GND | (DE-588)123340853 (DE-588)121444643 |
| author_facet | Maslov, Viktor P. 1930- Nazajkinskij, Vladimir E. 1955- |
| author_role | aut aut |
| author_sort | Maslov, Viktor P. 1930- |
| author_variant | v p m vp vpm v e n ve ven |
| building | Verbundindex |
| bvnumber | BV006411881 |
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| classification_tum | MAT 390f |
| ctrlnum | (OCoLC)17619689 (DE-599)BVBBV006411881 |
| dewey-full | 515.7/24 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7/24 |
| dewey-search | 515.7/24 |
| dewey-sort | 3515.7 224 |
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| discipline | Mathematik |
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| id | DE-604.BV006411881 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:45:37Z |
| institution | BVB |
| isbn | 0306110148 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004060663 |
| oclc_num | 17619689 |
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| physical | VI, 313 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Consultants Bureau |
| record_format | marc |
| series2 | Contemporary Soviet mathematics |
| spelling | Maslov, Viktor P. 1930- Verfasser (DE-588)123340853 aut Asimptotičeskie metody rešenija psevdodifferencial'nych uravnenij Asymptotics of operator and pseudo-differential equations V. P. Maslov and V. E. Nazainkinskii New York u.a. Consultants Bureau 1988 VI, 313 S. txt rdacontent n rdamedia nc rdacarrier Contemporary Soviet mathematics Aus d. Russ. übers. - EST: Asimptotičeskie metody rešenija psevdodifferencial'nych uravnenij <engl.> calcul fonctionnel inriac opérateur pseudo-différentiel inriac théorie asymptotique inriac équation avec opérateur inriac équation différentielle inriac Differential equations Asymptotic theory Operator equations Asymptotic theory Operatorgleichung (DE-588)4043601-9 gnd rswk-swf Asymptotik (DE-588)4126634-1 gnd rswk-swf Pseudodifferentialgleichung (DE-588)4121533-3 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Asymptotik (DE-588)4126634-1 s DE-604 Operatorgleichung (DE-588)4043601-9 s Pseudodifferentialgleichung (DE-588)4121533-3 s Nazajkinskij, Vladimir E. 1955- Verfasser (DE-588)121444643 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004060663&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Maslov, Viktor P. 1930- Nazajkinskij, Vladimir E. 1955- Asymptotics of operator and pseudo-differential equations calcul fonctionnel inriac opérateur pseudo-différentiel inriac théorie asymptotique inriac équation avec opérateur inriac équation différentielle inriac Differential equations Asymptotic theory Operator equations Asymptotic theory Operatorgleichung (DE-588)4043601-9 gnd Asymptotik (DE-588)4126634-1 gnd Pseudodifferentialgleichung (DE-588)4121533-3 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4043601-9 (DE-588)4126634-1 (DE-588)4121533-3 (DE-588)4012249-9 |
| title | Asymptotics of operator and pseudo-differential equations |
| title_alt | Asimptotičeskie metody rešenija psevdodifferencial'nych uravnenij |
| title_auth | Asymptotics of operator and pseudo-differential equations |
| title_exact_search | Asymptotics of operator and pseudo-differential equations |
| title_full | Asymptotics of operator and pseudo-differential equations V. P. Maslov and V. E. Nazainkinskii |
| title_fullStr | Asymptotics of operator and pseudo-differential equations V. P. Maslov and V. E. Nazainkinskii |
| title_full_unstemmed | Asymptotics of operator and pseudo-differential equations V. P. Maslov and V. E. Nazainkinskii |
| title_short | Asymptotics of operator and pseudo-differential equations |
| title_sort | asymptotics of operator and pseudo differential equations |
| topic | calcul fonctionnel inriac opérateur pseudo-différentiel inriac théorie asymptotique inriac équation avec opérateur inriac équation différentielle inriac Differential equations Asymptotic theory Operator equations Asymptotic theory Operatorgleichung (DE-588)4043601-9 gnd Asymptotik (DE-588)4126634-1 gnd Pseudodifferentialgleichung (DE-588)4121533-3 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | calcul fonctionnel opérateur pseudo-différentiel théorie asymptotique équation avec opérateur équation différentielle Differential equations Asymptotic theory Operator equations Asymptotic theory Operatorgleichung Asymptotik Pseudodifferentialgleichung Differentialgleichung |
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