Verfügbarkeit: The Weyl operator and its generalization

The Weyl operator and its generalization:

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Bibliographische Detailangaben
1. Verfasser:	Cohen, Leon (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Basel Birkhäuser 2013
Schriftenreihe:	Pseudo-differential operators 9
Schlagworte:	Differentialoperator Operatortheorie
Online-Zugang:	BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Beschreibung:	1 Online-Ressource (XII, 159 S.)
ISBN:	9783034802949
DOI:	10.1007/978-3-0348-0294-9

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Datensatz im Suchindex

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adam_text	THE WEYL OPERATOR AND ITS GENERALIZATION / COHEN, LEON : 2013 TABLE OF CONTENTS / INHALTSVERZEICHNIS INTRODUCTION THE FUNDAMENTAL IDEA, TERMINOLOGY, AND OPERATOR ALGEBRA THE WEYL OPERATOR THE ALGEBRA OF THE WEYL OPERATOR PRODUCT OF OPERATORS, COMMUTATORS, AND THE MOYAL SIN BRACKET SOME OTHER ORDERING RULES GENERALIZED OPERATOR ASSOCIATION THE FOURIER, MONOMIAL, AND DELTA FUNCTION ASSOCIATIONS TRANSFORMATION BETWEEN ASSOCIATIONS PATH INTEGRAL APPROACH THE DISTRIBUTION OF A SYMBOL AND OPERATOR THE UNCERTAINTY PRINCIPLE PHASE-SPACE DISTRIBUTIONS AMPLITUDE, PHASE, INSTANTANEOUS FREQUENCY, AND THE HILBERT TRANSFORM TIME - FREQUENCY ANALYSIS THE TRANSFORMATION OF DIFFERENTIAL EQUATIONS INTO PHASE SPACE THE REPRESENTATION OF FUNCTIONS THE N OPERATOR CASE DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. THE WEYL OPERATOR AND ITS GENERALIZATION / COHEN, LEON : 2013 ABSTRACT / INHALTSTEXT THIS BOOK DEALS WITH THE THEORY AND APPLICATION OF ASSOCIATING A FUNCTION OF TWO VARIABLES WITH A FUNCTION OF TWO OPERATORS THAT DO NOT COMMUTE. THE CONCEPT OF ASSOCIATING ORDINARY FUNCTIONS WITH OPERATORS HAS ARISEN IN MANY AREAS OF SCIENCE AND MATHEMATICS, AND UP TO THE BEGINNING OF THE TWENTIETH CENTURY MANY ISOLATED RESULTS WERE OBTAINED. THESE DEVELOPMENTS WERE MOSTLY BASED ON ASSOCIATING A FUNCTION OF ONE VARIABLE WITH ONE OPERATOR, THE OPERATOR GENERALLY BEING THE DIFFERENTIATION OPERATOR. WITH THE DISCOVERY OF QUANTUM MECHANICS IN THE YEARS 1925-1930, THERE AROSE, IN A NATURAL WAY, THE ISSUE THAT ONE HAS TO ASSOCIATE A FUNCTION OF TWO VARIABLES WITH A FUNCTION OF TWO OPERATORS THAT DO NOT COMMUTE. METHODS TO DO SO BECAME KNOWN AS RULES OF ASSOCIATION, CORRESPONDENCE RULES, OR ORDERING RULES. THIS HAS LED TO A WONDERFULLY RICH MATHEMATICAL DEVELOPMENT THAT HAS FOUND APPLICATIONS IN MANY FIELDS. SUBSEQUENTLY IT WAS REALIZED THAT FOR EVERY CORRESPONDENCE RULE THERE IS A CORRESPONDING PHASE-SPACE DISTRIBUTION. NOW THE FIELDS OF CORRESPONDENCE RULES AND PHASE-SPACE DISTRIBUTIONS ARE INTIMATELY CONNECTED. A SIMILAR DEVELOPMENT OCCURRED IN THE FIELD OF TIME-FREQUENCY ANALYSIS WHERE THE AIM IS TO UNDERSTAND SIGNALS WITH CHANGING FREQUENCIES. THE WEYL OPERATOR AND ITS GENERALIZATION AIMS AT BRINGING TOGETHER THE BASIC RESULTS OF THE FIELD IN A UNIFIED MANNER. A WIDE AUDIENCE IS ADDRESSED, PARTICULARLY STUDENTS AND RESEARCHERS WHO WANT TO OBTAIN AN UP-TO-DATE WORKING KNOWLEDGE OF THE FIELD. THE MATHEMATICS IS ACCESSIBLE TO THE UNINITIATED READER AND IS PRESENTED IN A STRAIGHTFORWARD MANNER DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Cohen, Leon
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spelling	Cohen, Leon Verfasser aut The Weyl operator and its generalization Leon Cohen Basel Birkhäuser 2013 1 Online-Ressource (XII, 159 S.) txt rdacontent c rdamedia cr rdacarrier Pseudo-differential operators 9 Differentialoperator (DE-588)4012251-7 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Operatortheorie (DE-588)4075665-8 s Differentialoperator (DE-588)4012251-7 s DE-604 Erscheint auch als Druck-Ausgabe, Paperback 978-3-0348-0293-2 Pseudo-differential operators 9 (DE-604)BV035482288 9 https://doi.org/10.1007/978-3-0348-0294-9 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025753127&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025753127&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Cohen, Leon The Weyl operator and its generalization Pseudo-differential operators Differentialoperator (DE-588)4012251-7 gnd Operatortheorie (DE-588)4075665-8 gnd
subject_GND	(DE-588)4012251-7 (DE-588)4075665-8
title	The Weyl operator and its generalization
title_auth	The Weyl operator and its generalization
title_exact_search	The Weyl operator and its generalization
title_full	The Weyl operator and its generalization Leon Cohen
title_fullStr	The Weyl operator and its generalization Leon Cohen
title_full_unstemmed	The Weyl operator and its generalization Leon Cohen
title_short	The Weyl operator and its generalization
title_sort	the weyl operator and its generalization
topic	Differentialoperator (DE-588)4012251-7 gnd Operatortheorie (DE-588)4075665-8 gnd
topic_facet	Differentialoperator Operatortheorie
url	https://doi.org/10.1007/978-3-0348-0294-9 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025753127&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025753127&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV035482288
work_keys_str_mv	AT cohenleon theweyloperatoranditsgeneralization

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