Trace-Formula Methods in Spectral Geometry

2020 ◽  
pp. 87-95
Author(s):  
Robert Brooks
Keyword(s):  
Trace Formula ◽  
Spectral Geometry

The Helton-Howe trace formula for submodules

2021 ◽  
pp. 108997
Author(s):  
Quanlei Fang ◽  
Yi Wang ◽  
Jingbo Xia
Keyword(s):  
Trace Formula

scholarly journals Spectral geometry of κ-Minkowski space

2006 ◽  
Vol 47 (6) ◽  
pp. 062105 ◽  
Author(s):  
Francesco D’Andrea
Keyword(s):  
Minkowski Space ◽  
Spectral Geometry

scholarly journals A Selberg trace formula for hypercomplex analytic cusp forms

2015 ◽  
Vol 148 ◽  
pp. 398-428 ◽  
Author(s):  
D. Grob ◽  
R.S. Kraußhar
Keyword(s):  
Trace Formula ◽  
Cusp Forms ◽  
Selberg Trace Formula

scholarly journals A trace formula for vector-valued modular forms

2015 ◽  
Vol 17 (06) ◽  
pp. 1550069
Author(s):  
P. Bantay
Keyword(s):  
Trace Formula ◽  
Modular Forms ◽  
Weight Distribution ◽  
Hilbert Polynomial ◽  
Free Generators ◽  
Vector Valued

We present a formula for vector-valued modular forms, expressing the value of the Hilbert-polynomial of the module of holomorphic forms evaluated at specific arguments in terms of traces of representation matrices, restricting the weight distribution of the free generators.

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