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101 0 $aeng
135   $aurcnu||||||||
181   $2rdacontent
182   $2rdamedia
183   $2rdacarrier
200 10$aScattering Theory for Automorphic Functions. (AM-87), Volume 87 /$fPeter D. Lax, Ralph S. Phillips
210  1$aPrinceton, NJ : $cPrinceton University Press, $d[2016]
210  4$d©1977
215   $a1 online resource (313 pages)
225 0 $aAnnals of Mathematics Studies ;$v257
311 08$a9780691081847 
311 08$a0691081840 
311 08$a9780691081793 
311 08$a0691081794 
320   $aIncludes bibliographical references and index.
327   $tFrontmatter -- $tTABLE OF CONTENTS -- $tPREFACE -- $tLIST OF SYMBOLS -- $t§1. INTRODUCTION -- $t§2. AN ABSTRACT SCATTERING THEORY -- $t§3. A MODIFIED THEORY FOR SECOND ORDER EQUATIONS WITH AN INDEFINITE ENERGY FORM -- $t§4. THE LAPLACE-BELTRAMI OPERATOR FOR THE MODULAR GROUP -- $t§5. THE AUTOMORPHIC WAVE EQUATIONS -- $t§6. INCOMING AND OUTGOING SUBSPACES FOR THE AUTOMORPHIC WAVE EQUATION -- $t§7. THE SCATTERING MATRIX FOR THE AUTOMORPHIC WAVE EQUATION -- $t§8. THE GENERAL CASE -- $t§9. THE SELBERG TRACE FORMULA -- $tREFERENCES -- $tINDEX -- $tBackmatter
330   $aThe application by Fadeev and Pavlov of the Lax-Phillips scattering theory to the automorphic wave equation led Professors Lax and Phillips to reexamine this development within the framework of their theory. This volume sets forth the results of that work in the form of new or more straightforward treatments of the spectral theory of the Laplace-Beltrami operator over fundamental domains of finite area; the meromorphic character over the whole complex plane of the Eisenstein series; and the Selberg trace formula.CONTENTS: 1. Introduction. 2. An abstract scattering theory. 3. A modified theory for second order equations with an indefinite energy form. 4. The Laplace-Beltrami operator for the modular group. 5. The automorphic wave equation. 6. Incoming and outgoing subspaces for the automorphic wave equations. 7. The scattering matrix for the automorphic wave equation. 8. The general case. 9. The Selberg trace formula.
410  0$aAnnals of mathematics studies ;$vNumber 87.
606   $aAutomorphic functions
606   $aScattering (Mathematics)
615  0$aAutomorphic functions.
615  0$aScattering (Mathematics)
676   $a515.9
700   $aLax$b Peter D.$042253
702   $aPhillips$b Ralph S., 
801  0$bDE-B1597
801  1$bDE-B1597
906   $aBOOK
912   $a9910154746703321
996   $aScattering Theory for Automorphic Functions. (AM-87), Volume 87$92788031
997   $aUNINA