Decay of the Fourier transform: analytic and geometric aspects
Gespeichert in:
Beteiligte Personen: | , |
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Format: | Elektronisch E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Basel [u.a.]
Springer Birkhäuser
2014
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Schlagwörter: | |
Links: | https://doi.org/10.1007/978-3-0348-0625-1 https://doi.org/10.1007/978-3-0348-0625-1 https://doi.org/10.1007/978-3-0348-0625-1 https://doi.org/10.1007/978-3-0348-0625-1 https://doi.org/10.1007/978-3-0348-0625-1 https://doi.org/10.1007/978-3-0348-0625-1 https://doi.org/10.1007/978-3-0348-0625-1 https://doi.org/10.1007/978-3-0348-0625-1 https://doi.org/10.1007/978-3-0348-0625-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027635653&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=027635653&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
Umfang: | 1 Online-Ressource |
ISBN: | 9783034806244 9783034806251 |
DOI: | 10.1007/978-3-0348-0625-1 |
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Datensatz im Suchindex
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adam_text | DECAY OF THE FOURIER TRANSFORM
/ IOSEVICH, ALEX
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
FOREWORD
INTRODUCTION
CHAPTER 1. BASIC PROPERTIES OF THE FOURIER TRANSFORM
CHAPTER 2. OSCILLATORY INTEGRALS AND FOURIER TRANSFORMS IN ONE VARIABLE
CHAPTER 3. THE FOURIER TRANSFORM OF AN OSCILLATING FUNCTION
CHAPTER 4. THE FOURIER TRANSFORM OF A RADIAL FUNCTION
CHAPTER 5. MULTIVARIATE EXTENSIONS
APPENDIX
BIBLIOGRAPHY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
DECAY OF THE FOURIER TRANSFORM
/ IOSEVICH, ALEX
: 2014
ABSTRACT / INHALTSTEXT
THE PLANCHEREL FORMULA SAYS THAT THE L2 NORM OF THE FUNCTION IS EQUAL TO
THE L2 NORM OF ITS FOURIER TRANSFORM. THIS IMPLIES THAT AT LEAST ON
AVERAGE, THE FOURIER TRANSFORM OF AN L2 FUNCTION DECAYS AT INFINITY.
THIS BOOK IS DEDICATED TO THE STUDY OF THE RATE OF THIS DECAY UNDER
VARIOUS ASSUMPTIONS AND CIRCUMSTANCES, FAR BEYOND THE ORIGINAL L2
SETTING. ANALYTIC AND GEOMETRIC PROPERTIES OF THE UNDERLYING FUNCTIONS
INTERACT IN A SEAMLESS SYMBIOSIS WHICH UNDERLINES THE WIDE RANGE
INFLUENCES AND APPLICATIONS OF THE CONCEPTS UNDER CONSIDERATION
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Iosevich, Alex 1967- Liflyand, Elijah 1952- |
author_GND | (DE-588)143424815 (DE-588)1061106888 |
author_facet | Iosevich, Alex 1967- Liflyand, Elijah 1952- |
author_role | aut aut |
author_sort | Iosevich, Alex 1967- |
author_variant | a i ai e l el |
building | Verbundindex |
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dewey-full | 515 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515 |
dewey-search | 515 |
dewey-sort | 3515 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-0348-0625-1 |
format | Electronic eBook |
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id | DE-604.BV042196681 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T17:04:34Z |
institution | BVB |
isbn | 9783034806244 9783034806251 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027635653 |
oclc_num | 897394245 |
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publishDate | 2014 |
publishDateSearch | 2014 |
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publisher | Springer Birkhäuser |
record_format | marc |
spellingShingle | Iosevich, Alex 1967- Liflyand, Elijah 1952- Decay of the Fourier transform analytic and geometric aspects Harmonische Analyse (DE-588)4023453-8 gnd |
subject_GND | (DE-588)4023453-8 |
title | Decay of the Fourier transform analytic and geometric aspects |
title_auth | Decay of the Fourier transform analytic and geometric aspects |
title_exact_search | Decay of the Fourier transform analytic and geometric aspects |
title_full | Decay of the Fourier transform analytic and geometric aspects Alex Iosevich ; Elijah Liflyand |
title_fullStr | Decay of the Fourier transform analytic and geometric aspects Alex Iosevich ; Elijah Liflyand |
title_full_unstemmed | Decay of the Fourier transform analytic and geometric aspects Alex Iosevich ; Elijah Liflyand |
title_short | Decay of the Fourier transform |
title_sort | decay of the fourier transform analytic and geometric aspects |
title_sub | analytic and geometric aspects |
topic | Harmonische Analyse (DE-588)4023453-8 gnd |
topic_facet | Harmonische Analyse |
url | https://doi.org/10.1007/978-3-0348-0625-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027635653&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=027635653&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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