Stein's Restriction Conjecture

Postgraduate Thesis uoadl:3395304 19 Read counter

Unit:
Κατεύθυνση Θεωρητικά Μαθηματικά
Library of the School of Science
Deposit date:
2024-04-03
Year:
2024
Author:
Koustas Stefanos
Supervisors info:
Μαρίνα Ηλιοπούλου, καθηγήτρια, Τμήμα Μαθηματικών, ΕΚΠΑ
Γεράσιμος Μπαρμπάτης, καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ
Παναγιώτης Σμυρνέλης, Επίκουρος Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ
Original Title:
Η Εικασία Περιορισμού του Stein
Languages:
Greek
Translated title:
Stein's Restriction Conjecture
Summary:
Stein's Restriction Conjecture is one of the most famous open problems in Harmonic Analysis. It was formulated by Stein in 1967. We begin by stating the problem in n dimensions and proving the Conjecture in 2 dimensions. Then we stude the Restriction Conjecture in 3 and more than 4 dimensions separately.
Main subject category:
Science
Keywords:
Restriction Conjecture, Fourier transform, Stein-Tomas theorem, Polynomial Partitioning, Wave packet decomposition
Index:
No
Number of index pages:
0
Contains images:
Yes
Number of references:
15
Number of pages:
106
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