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쇼핑몰 >  수입도서 >  Mathematics >  Analysis

Heisenberg Groups, Theta Functions and the Weil Representation

 
지은이 : Jae-Hyun Yang
출판사 : 경문사
판수 : 1판(2012 )
페이지수 : 156
ISBN : 978-89-6105-599-4
예상출고일 : 입금확인후 2일 이내
주문수량 :
도서가격 : 10,000원
적립금 : 300 Point
   

 
Department of Mathematics
Inha University
Incheon 402-751
Republic of Korea
1 Heisenberg Groups. 11
1.1 The Heisenberg Group H(n,m)R . 11
1.2 Theta Functions . 15
1.3 Induced Representations . 25
1.4 The Schr쮗dinger Representation . 27
1.5 Fock Representations . 32
1.6 Lattice Representations . 49
1.7 Coadjoint Orbits . 59
1.8 Hermite Operators . 66
1.9 Harmonic Analysis on the Quotient Space of H(n,m)R . 75

2 Theta Functions and the Weil Representation . 83
2.1 The Symplectic Group . 83
2.2 Some Geometry on Siegel Space . 92
2.3 The Weil Representation . 101
2.4 Covariant Maps for the Weil Representation . 110
2.5 Theta Series with Quadratic Forms . 122
2.6 Theta Series in Spherical Harmonics . 129
2.7 Relation between Theta Series and the Weil Representation  . 139
2.8 Spectral Theory on the Abelian Variety  . 145

References . 153
Introduction to Partial Di...
-Zachmanoglou-
 
 
Real Analysis Modern Techn...
-Folland-
 
 
A First Course in Abstract...
-John B. Fraleigh-
 
 
   
 
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