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Hermitian analysis: from Fourier series to Cauchy-Riemann geometry

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Bibliographic Details
Main Author:	D'Angelo, John P. 1951- (Author)
Format:	Electronic eBook
Language:	English
Published:	New York, NY [u.a.] Birkhäuser 2013
Series:	Cornerstones
Subjects:	Hermite-Polynome Hilbert-Raum Geometrische Ungleichung Fourier-Transformation Fourier-Reihe
Online Access:	BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource
ISBN:	9781461485254 9781461485261
DOI:	10.1007/978-1-4614-8526-1

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Record in the Search Index

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adam_text	HERMITIAN ANALYSIS / D ANGELO, JOHN P. : 2013 TABLE OF CONTENTS / INHALTSVERZEICHNIS PREFACE INTRODUCTION TO FOURIER SERIES HILBERT SPACES FOURIER TRANSFORM ON R GEOMETRIC CONSIDERATIONS APPENDIX REFERENCES INDEX. DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. HERMITIAN ANALYSIS / D ANGELO, JOHN P. : 2013 ABSTRACT / INHALTSTEXT HERMITIAN ANALYSIS: FROM FOURIER SERIES TO CAUCHY-RIEMANN GEOMETRY PROVIDES A COHERENT, INTEGRATED LOOK AT VARIOUS TOPICS FROM ANALYSIS. IT BEGINS WITH FOURIER SERIES, CONTINUES WITH HILBERT SPACES, DISCUSSES THE FOURIER TRANSFORM ON THE REAL LINE, AND THEN TURNS TO THE HEART OF THE BOOK: GEOMETRIC CONSIDERATIONS IN SEVERAL COMPLEX VARIABLES. THE FINAL CHAPTER INCLUDES COMPLEX DIFFERENTIAL FORMS, GEOMETRIC INEQUALITIES FROM ONE AND SEVERAL COMPLEX VARIABLES, FINITE UNITARY GROUPS, PROPER MAPPINGS, AND NATURALLY LEADS TO THE CAUCHY-RIEMANN GEOMETRY OF THE UNIT SPHERE. THE BOOK THUS TAKES THE READER FROM THE UNIT CIRCLE TO THE UNIT SPHERE. THIS TEXTBOOK WILL BE A USEFUL RESOURCE FOR UPPER-UNDERGRADUATE STUDENTS WHO INTEND TO CONTINUE WITH MATHEMATICS, GRADUATE STUDENTS INTERESTED IN ANALYSIS, AND RESEARCHERS INTERESTED IN SOME BASIC ASPECTS OF CR GEOMETRY. IT WILL ALSO BE USEFUL FOR STUDENTS IN PHYSICS AND ENGINEERING, AS IT INCLUDES TOPICS IN HARMONIC ANALYSIS ARISING IN THESE SUBJECTS.THE INCLUSION OF AN APPENDIX AND MORE THAN 270 EXERCISES MAKES THIS BOOK SUITABLE FOR A CAPSTONE UNDERGRADUATE HONORS CLASS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	D'Angelo, John P. 1951-
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dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515.2433
dewey-search	515.2433
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discipline	Mathematik Medizin
doi_str_mv	10.1007/978-1-4614-8526-1
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spelling	D'Angelo, John P. 1951- Verfasser (DE-588)143370472 aut Hermitian analysis from Fourier series to Cauchy-Riemann geometry John P. D'Angelo New York, NY [u.a.] Birkhäuser 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Cornerstones Hermite-Polynome (DE-588)4293831-4 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Geometrische Ungleichung (DE-588)4705164-4 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf Fourier-Reihe (DE-588)4155109-6 gnd rswk-swf Hermite-Polynome (DE-588)4293831-4 s Fourier-Reihe (DE-588)4155109-6 s Fourier-Transformation (DE-588)4018014-1 s Hilbert-Raum (DE-588)4159850-7 s Geometrische Ungleichung (DE-588)4705164-4 s DE-604 https://doi.org/10.1007/978-1-4614-8526-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026830038&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=026830038&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	D'Angelo, John P. 1951- Hermitian analysis from Fourier series to Cauchy-Riemann geometry Hermite-Polynome (DE-588)4293831-4 gnd Hilbert-Raum (DE-588)4159850-7 gnd Geometrische Ungleichung (DE-588)4705164-4 gnd Fourier-Transformation (DE-588)4018014-1 gnd Fourier-Reihe (DE-588)4155109-6 gnd
subject_GND	(DE-588)4293831-4 (DE-588)4159850-7 (DE-588)4705164-4 (DE-588)4018014-1 (DE-588)4155109-6
title	Hermitian analysis from Fourier series to Cauchy-Riemann geometry
title_auth	Hermitian analysis from Fourier series to Cauchy-Riemann geometry
title_exact_search	Hermitian analysis from Fourier series to Cauchy-Riemann geometry
title_full	Hermitian analysis from Fourier series to Cauchy-Riemann geometry John P. D'Angelo
title_fullStr	Hermitian analysis from Fourier series to Cauchy-Riemann geometry John P. D'Angelo
title_full_unstemmed	Hermitian analysis from Fourier series to Cauchy-Riemann geometry John P. D'Angelo
title_short	Hermitian analysis
title_sort	hermitian analysis from fourier series to cauchy riemann geometry
title_sub	from Fourier series to Cauchy-Riemann geometry
topic	Hermite-Polynome (DE-588)4293831-4 gnd Hilbert-Raum (DE-588)4159850-7 gnd Geometrische Ungleichung (DE-588)4705164-4 gnd Fourier-Transformation (DE-588)4018014-1 gnd Fourier-Reihe (DE-588)4155109-6 gnd
topic_facet	Hermite-Polynome Hilbert-Raum Geometrische Ungleichung Fourier-Transformation Fourier-Reihe
url	https://doi.org/10.1007/978-1-4614-8526-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026830038&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=026830038&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT dangelojohnp hermitiananalysisfromfourierseriestocauchyriemanngeometry

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