The Heat Kernel and Theta Inversion on SL2(C) (Springer Monographs in Mathematics) - Image 1

Price loading...

Springer The Heat Kernel and Theta Inversion on SL2(C) (Springer Monographs in Mathematics)

Name: The Heat Kernel and Theta Inversion on SL2(C) (Springer Monographs in Mathematics)
Brand: Springer

9780387380315

Algebra

Price History & Forecast

No Price Data Available

Price history will appear here once data is collected from Amazon.

Price Distribution

No price data available for histogram

Description

The purpose of this text is to provide a complete, self-contained development of the trace formula and theta inversion formula for SL(2,Z[i])\SL(2,C). Unlike other treatments of the theory, the approach taken here is to begin with the heat kernel on SL(2,C) associated to the invariant Laplacian, which is derived using spherical inversion. The heat kernel on the quotient space SL(2,Z[i])\SL(2,C) is gotten through periodization, and further expanded in an eigenfunction expansion. A theta inversion formula is obtained by studying the trace of the heat kernel. Following the author's previous work, the inversion formula then leads to zeta functions through the Gauss transform.

Product Specifications

Brand: Springer
Model: 9780387380315
Format: hardcover
ASIN: 0387380310
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 15 October 2008
Listed Since: 20 December 2006

Barcode

No barcode data available

Springer The Heat Kernel and Theta Inversion on SL2(C) (Springer Monographs in Mathematics)

Price History & Forecast

No Price Data Available

Price Distribution

Description

Product Specifications

Barcode

Similar Products You Might Like

Traces of Hecke Operators (Mathematical Surveys & Monographs) (Mathematical Surveys and Monographs)

Heat Kernels and Spectral Theory: 92 (Cambridge Tracts in Mathematics, Series Number 92)

Zeta Functions Of Reductive Groups And Their Zeros (Algebraic Geometry Algebraic T)

Analysis of Heat Equations on Domains. (LMS–31) (London Mathematical Society Monographs)

The Theory of Zeta-Functions of Root Systems (Springer Monographs in Mathematics)

Theta Functions: 194 (Grundlehren der mathematischen Wissenschaften, 194)

Spectral Functions in Mathematics and Physics

Spectral Functions in Mathematics and Physics

Some Musings on Theta, Eta, and Zeta: From E8 to Cold Plasma to an lnhomogeneous Universe (Mathematical Physics Studies)

Heat Kernels for Elliptic and Sub-elliptic Operators: Methods and Techniques (Applied and Numerical Harmonic Analysis)

The Weierstrass Sigma Function in Higher Genus and Applications to Integrable Equations (Springer Monographs in Mathematics)

The Theory of Zeta-Functions of Root Systems (Springer Monographs in Mathematics)

Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem: 16 (Studies in Advanced Mathematics)

Operators, Geometry and Quanta: Methods of Spectral Geometry in Quantum Field Theory (Theoretical and Mathematical Physics)

Analysis Of Harmonic Maps And Their Heat Flows, The

L² Approaches in Several Complex Variables: Development of Oka–Cartan Theory by L² Estimates for the d-bar Operator (Springer Monographs in Mathematics)

The Spectrum of Hyperbolic Surfaces (Universitext)

Bernoulli Numbers and Zeta Functions (Springer Monographs in Mathematics)

Bernoulli Numbers and Zeta Functions (Springer Monographs in Mathematics)

Direct and Inverse Scattering on the Line (Mathematical Surveys and Monographs): 28

Relative Trace Formulas (Simons Symposia)

Introduction to the Theory and Application of the Laplace Transformation

Spectral Theory of Non-Self-Adjoint Two-Point Differential Operators (Mathematical Surveys and Monographs)

Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group (Springer Monographs in Mathematics)