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The Ubiquitous Heat Kernel
 
Edited by: Jay Jorgenson The City College of New York, New York, NY
Lynne Walling University of Colorado at Boulder, Boulder, CO
The Ubiquitous Heat Kernel
Softcover ISBN:  978-0-8218-3698-9
Product Code:  CONM/398
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7988-7
Product Code:  CONM/398.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3698-9
eBook: ISBN:  978-0-8218-7988-7
Product Code:  CONM/398.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
The Ubiquitous Heat Kernel
Click above image for expanded view
The Ubiquitous Heat Kernel
Edited by: Jay Jorgenson The City College of New York, New York, NY
Lynne Walling University of Colorado at Boulder, Boulder, CO
Softcover ISBN:  978-0-8218-3698-9
Product Code:  CONM/398
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7988-7
Product Code:  CONM/398.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3698-9
eBook ISBN:  978-0-8218-7988-7
Product Code:  CONM/398.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3982006; 402 pp
    MSC: Primary 35; 22; 11; 14; 47; 58; 53; 32;

    The aim of this volume is to bring together research ideas from various fields of mathematics which utilize the heat kernel or heat kernel techniques in their research. The intention of this collection of papers is to broaden productive communication across mathematical sub-disciplines and to provide a vehicle which would allow experts in one field to initiate research with individuals in another field, as well as to give non-experts a resource which can facilitate expanding their research and connecting with others.

    Readership

    Graduate students and research mathematicians interested in analysis, representation theory, algebraic geometry, partial differential equations, mathematical physics.

  • Table of Contents
     
     
    • Articles
    • L. Barchini, M. Sepanski and R. Zierau — Positivity of zeta distributions and small unitary representations [ MR 2218012 ]
    • Rolf Berndt — The heat equation and representations of the Jacobi group [ MR 2218013 ]
    • Józef Dodziuk and Varghese Mathai — Kato’s inequality and asymptotic spectral properties for discrete magnetic Laplacians [ MR 2218014 ]
    • Dana S. Fine — The heat kernel in low-dimensional quantum theories [ MR 2218015 ]
    • Alexander Grigor′yan — Heat kernels on weighted manifolds and applications [ MR 2218016 ]
    • Joseph F. Grotowski — Heat kernels in geometric evolution equations [ MR 2218017 ]
    • Brian C. Hall — The range of the heat operator [ MR 2218018 ]
    • Bruno Harris — Heat kernels and cycles [ MR 2218019 ]
    • Georg Hein — Green currents on Kähler manifolds [ MR 2218020 ]
    • Steve Hofmann — Heat kernels and Riesz transforms [ MR 2218021 ]
    • Matthew D. Horton, Derek B. Newland and Audrey A. Terras — The contest between the kernels in the Selberg trace formula for the $(q+1)$-regular tree [ MR 2218022 ]
    • Jay Jorgenson and Jürg Kramer — Expressing Arakelov invariants using hyperbolic heat kernels [ MR 2218023 ]
    • Min Ho Lee and Emma Previato — Grassmannians of higher local fields and multivariable tau functions [ MR 2218024 ]
    • Varghese Mathai — Heat kernels and the range of the trace on completions of twisted group algebras [ MR 2218025 ]
    • Emma Previato — Theta functions, old and new [ MR 2218026 ]
    • P. Sawyer — The heat kernel on the symmetric space ${\rm SL}(n,{\bf F})/{\rm SU}(n,{\bf F})$ [ MR 2218027 ]
    • Bin Wang — Incidence structure [ MR 2218028 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3982006; 402 pp
MSC: Primary 35; 22; 11; 14; 47; 58; 53; 32;

The aim of this volume is to bring together research ideas from various fields of mathematics which utilize the heat kernel or heat kernel techniques in their research. The intention of this collection of papers is to broaden productive communication across mathematical sub-disciplines and to provide a vehicle which would allow experts in one field to initiate research with individuals in another field, as well as to give non-experts a resource which can facilitate expanding their research and connecting with others.

Readership

Graduate students and research mathematicians interested in analysis, representation theory, algebraic geometry, partial differential equations, mathematical physics.

  • Articles
  • L. Barchini, M. Sepanski and R. Zierau — Positivity of zeta distributions and small unitary representations [ MR 2218012 ]
  • Rolf Berndt — The heat equation and representations of the Jacobi group [ MR 2218013 ]
  • Józef Dodziuk and Varghese Mathai — Kato’s inequality and asymptotic spectral properties for discrete magnetic Laplacians [ MR 2218014 ]
  • Dana S. Fine — The heat kernel in low-dimensional quantum theories [ MR 2218015 ]
  • Alexander Grigor′yan — Heat kernels on weighted manifolds and applications [ MR 2218016 ]
  • Joseph F. Grotowski — Heat kernels in geometric evolution equations [ MR 2218017 ]
  • Brian C. Hall — The range of the heat operator [ MR 2218018 ]
  • Bruno Harris — Heat kernels and cycles [ MR 2218019 ]
  • Georg Hein — Green currents on Kähler manifolds [ MR 2218020 ]
  • Steve Hofmann — Heat kernels and Riesz transforms [ MR 2218021 ]
  • Matthew D. Horton, Derek B. Newland and Audrey A. Terras — The contest between the kernels in the Selberg trace formula for the $(q+1)$-regular tree [ MR 2218022 ]
  • Jay Jorgenson and Jürg Kramer — Expressing Arakelov invariants using hyperbolic heat kernels [ MR 2218023 ]
  • Min Ho Lee and Emma Previato — Grassmannians of higher local fields and multivariable tau functions [ MR 2218024 ]
  • Varghese Mathai — Heat kernels and the range of the trace on completions of twisted group algebras [ MR 2218025 ]
  • Emma Previato — Theta functions, old and new [ MR 2218026 ]
  • P. Sawyer — The heat kernel on the symmetric space ${\rm SL}(n,{\bf F})/{\rm SU}(n,{\bf F})$ [ MR 2218027 ]
  • Bin Wang — Incidence structure [ MR 2218028 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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