Hermitian analysis: from Fourier series to Cauchy-Riemann geometry
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY [u.a.]
Birkhäuser
2013
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Schriftenreihe: | Cornerstones
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Schlagworte: | |
Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource |
ISBN: | 9781461485254 9781461485261 |
DOI: | 10.1007/978-1-4614-8526-1 |
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Datensatz im Suchindex
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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.
|
any_adam_object | 1 |
author | D'Angelo, John P. 1951- |
author_GND | (DE-588)143370472 |
author_facet | D'Angelo, John P. 1951- |
author_role | aut |
author_sort | D'Angelo, John P. 1951- |
author_variant | j p d jp jpd |
building | Verbundindex |
bvnumber | BV041382084 |
classification_rvk | SK 450 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA |
ctrlnum | (OCoLC)862985697 (DE-599)DNB104223731X |
dewey-full | 515.2433 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.2433 |
dewey-search | 515.2433 |
dewey-sort | 3515.2433 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik Medizin |
doi_str_mv | 10.1007/978-1-4614-8526-1 |
format | Electronic eBook |
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language | English |
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series2 | Cornerstones |
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 |