Track My Order
Help Centre
1300 187 187
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore

0 Item

Add free shipping to your order with these great books
The Heat Kernel and Theta Inversion on SL2(C) : Springer Monographs in Mathematics - Jay Jorgenson

eTEXT

The Heat Kernel and Theta Inversion on SL2(C)

By: Jay Jorgenson, Serge Lang

eText | 20 February 2009

At a Glance

eText

$159.01

or 4 interest-free payments of $39.75 with

 or 

Instant online reading in your Booktopia eTextbook Library *

Read online on
Desktop
Tablet
Mobile

Not downloadable to your eReader or an app

Why choose an eTextbook?

Instant Access *

Purchase and read your book immediately

Read Aloud

Listen and follow along as Bookshelf reads to you

Study Tools

Built-in study tools like highlights and more

* eTextbooks are not downloadable to your eReader or an app and can be accessed via web browsers only. You must be connected to the internet and have no technical issues with your device or browser that could prevent the eTextbook from operating.

The present monograph develops the fundamental ideas and results surrounding heat kernels, spectral theory, and regularized traces associated to the full modular group acting on SL2(C). The authors begin with the realization of the heat kernel on SL2(C) through spherical transform, from which one manifestation of the heat kernel on quotient spaces is obtained through group periodization. From a different point of view, one constructs the heat kernel on the group space using an eigenfunction, or spectral, expansion, which then leads to a theta function and a theta inversion formula by equating the two realizations of the heat kernel on the quotient space. The trace of the heat kernel diverges, which naturally leads to a regularization of the trace by studying Eisenstein series on the eigenfunction side and the cuspidal elements on the group periodization side. By focusing on the case of SL2(Z[i]) acting on SL2(C), the authors are able to emphasize the importance of specific examples of the general theory of the general Selberg trace formula and uncover the second step in their envisioned "ladder" of geometrically defined zeta functions, where each conjectured step would include lower level zeta functions as factors in functional equations.

Read online on
Desktop
Tablet
Mobile

You Can Find This eBook In

Non-FictionMathematicsAlgebraGroups & Group TheoryNumber TheoryCalculus & Mathematical AnalysisFunctional Analysis & Transforms

More in Number Theory

Single Digits : In Praise of Small Numbers - Marc Chamberland

eBOOK

Single Digits

In Praise of Small Numbers

eBook

RRP $38.50

$30.99

20%
OFF
The Gross-Zagier Formula on Shimura Curves : (AMS-184) - Xinyi Yuan

eBOOK

The Gross-Zagier Formula on Shimura Curves

(AMS-184)

eBook

RRP $206.80

$165.99

20%
OFF
GCSE Maths Teachers Pack V11 - Clive W. Humphris

eBOOK

GCSE Maths Teachers Pack V11

eBook

RRP $6.12

$5.99

Learn GCSE Maths on your Smartphone - Clive W. Humphris

eBOOK

Learn GCSE Maths on your Smartphone

eBook

RRP $6.12

$5.99

This product is categorised by