The Heat Kernel and Theta Inversion on SL2(C), Jay Jorgenson; Serge Lang

Автор: Jay Jorgenson; Serge Lang
Название: The Heat Kernel and Theta Inversion on SL2(C)
ISBN: 1441922822 ISBN-13(EAN): 9781441922823
Издательство: Springer
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Описание: The purpose of this text is to provide a 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, this one begins with the heat kernel on SL(2,C) associated to the invariant Laplacian, which is derived using spherical inversion.

Автор: Bleistein N., Cohen J.K., Stockwell John W. Jr.
Название: Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion
ISBN: 0387950613 ISBN-13(EAN): 9780387950617
Издательство: Springer
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Описание: In the last 40 years geophysicists have found that it is possible to construct images and even determine important physical characteristics of rocks that can yield information about oil and gas bearing structures in the earth. To make these images and extract this information requires the application of an advanced understanding of the mathematical physics of wave propagation. The oil and gas industry labels a major collection of the necessary seismic data processing methods by the name seismic "migration". This text ist the first to treat many kinds of migration in a unified mahtematical way. The audience is mathematically oriented geophysicists or applied mathematicians working in the field of "inverse scattering imaging". The text can serve as a bridge between the applied math and geophysics community by presenting geophysicists with a practical introduction to advanced engineering mathematics, while presenting mathematicians with a window into the world of the mathematically sophistiated geophysicist.

Автор: Frankel N.
Название: Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders
ISBN: 0521497981 ISBN-13(EAN): 9780521497985
Издательство: Cambridge Academ
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Описание: This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected. All researchers interested in the fascinating area of exponential asymptotics will find this a most valuable book.