Bounds in Lebesgue spaces of oscillatory integral operators:
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| Main Author: | |
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| Format: | Thesis Book |
| Language: | English |
| Published: |
1996
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 52 S. |
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MARC
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| 100 | 1 | |a Mockenhaupt, Gerd |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Bounds in Lebesgue spaces of oscillatory integral operators |c vorgelegt von Gerd Mockenhaupt |
| 264 | 1 | |c 1996 | |
| 300 | |a 52 S. | ||
| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
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| adam_text |
CONTENTS
CHAPTER 1. INTRODUCTION
1 1
CHAPTER 2. OSCILLATORY INTEGRALS AND CURVATURE 5
1. OSCILLATORY INTEGRALS OPERATORS, KNOWN RESULTS AND THE RELATION TO
KAKEYA SETS 5
2. GAUSSIAN CURVATURE AND OSCILLATORY INTEGRAL OPERATORS 9
3. RESTRICTION TO QUADRATIC SUBMANIFOLDS 16
4. SOME RESULTS FOR DEGENERATE PHASE FUNCTIONS 23
CHAPTER 3. DISCRETE ANALOGUES OF RESTRICTION PHENOMENA 29
1. A TRANSFERENCE RESULT 29
2. ON THE HARDY-LITTLEWOOD MAJORANT PROBLEM 31
3. EIGENFUNCTION ESTIMATES FOR THE 2-DIMENSIONAL STANDARD TORUS 35
4. CANTOR TYPE SETS IN THE INTEGERS 38
CHAPTER 4. RESTRICTION PROPERTIES OF THE FOURIER TRANSFORM ON THE REAL
LINE 41
1. HAUSDORFF-DIMENSION, FOURIER-DIMENSION 41
2. SALEM'S CONSTRUCTION 43
3. THE ANALOG OF THE STEIN-TOMAS THEOREM ON R 46
*
BIBLIOGRAPHY
51
BIBLIOGRAFISCHE INFORMATIONEN
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| indexdate | 2024-10-09T16:08:43Z |
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| language | English |
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| physical | 52 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
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| spelling | Mockenhaupt, Gerd Verfasser aut Bounds in Lebesgue spaces of oscillatory integral operators vorgelegt von Gerd Mockenhaupt 1996 52 S. txt rdacontent n rdamedia nc rdacarrier Siegen, Univ., Habil.-Schr., 1996 Integraloperator (DE-588)4131247-8 gnd rswk-swf Lp-Raum (DE-588)4168195-2 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Fourier-Transformation (DE-588)4018014-1 s Integraloperator (DE-588)4131247-8 s Lp-Raum (DE-588)4168195-2 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007933250&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mockenhaupt, Gerd Bounds in Lebesgue spaces of oscillatory integral operators Integraloperator (DE-588)4131247-8 gnd Lp-Raum (DE-588)4168195-2 gnd Fourier-Transformation (DE-588)4018014-1 gnd |
| subject_GND | (DE-588)4131247-8 (DE-588)4168195-2 (DE-588)4018014-1 (DE-588)4113937-9 |
| title | Bounds in Lebesgue spaces of oscillatory integral operators |
| title_auth | Bounds in Lebesgue spaces of oscillatory integral operators |
| title_exact_search | Bounds in Lebesgue spaces of oscillatory integral operators |
| title_full | Bounds in Lebesgue spaces of oscillatory integral operators vorgelegt von Gerd Mockenhaupt |
| title_fullStr | Bounds in Lebesgue spaces of oscillatory integral operators vorgelegt von Gerd Mockenhaupt |
| title_full_unstemmed | Bounds in Lebesgue spaces of oscillatory integral operators vorgelegt von Gerd Mockenhaupt |
| title_short | Bounds in Lebesgue spaces of oscillatory integral operators |
| title_sort | bounds in lebesgue spaces of oscillatory integral operators |
| topic | Integraloperator (DE-588)4131247-8 gnd Lp-Raum (DE-588)4168195-2 gnd Fourier-Transformation (DE-588)4018014-1 gnd |
| topic_facet | Integraloperator Lp-Raum Fourier-Transformation Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007933250&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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