Phillips, Ralph S. (Ralph Saul) 1913
Overview
Works:  42 works in 222 publications in 4 languages and 3,255 library holdings 

Roles:  Editor, Author, Contributor, Other 
Classifications:  QA3, 513.83 
Publication Timeline
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Most widely held works about
Ralph S Phillips
 On inverse scattering for the wave equation with a potential term via the LaxPhillips theory : a simple proof by Gustavo Perla Menzala( Book )
Most widely held works by
Ralph S Phillips
Scattering theory by
Peter D Lax(
Book
)
44 editions published between 1967 and 1990 in 3 languages and held by 989 WorldCat member libraries worldwide
This revised edition of a classic book, which established scattering theory as an important and fruitful area of research, reflects the wealth of new results discovered in the intervening years. This new, revised edition should continue to inspire researchers to expand the application of the original ideas proposed by the authors
44 editions published between 1967 and 1990 in 3 languages and held by 989 WorldCat member libraries worldwide
This revised edition of a classic book, which established scattering theory as an important and fruitful area of research, reflects the wealth of new results discovered in the intervening years. This new, revised edition should continue to inspire researchers to expand the application of the original ideas proposed by the authors
Functional analysis and semigroups by
Einar Hille(
Book
)
75 editions published between 1946 and 2008 in 3 languages and held by 794 WorldCat member libraries worldwide
75 editions published between 1946 and 2008 in 3 languages and held by 794 WorldCat member libraries worldwide
Theory of servomechanisms by
Hubert Maxwell James(
Book
)
23 editions published between 1947 and 1965 in English and Italian and held by 669 WorldCat member libraries worldwide
23 editions published between 1947 and 1965 in English and Italian and held by 669 WorldCat member libraries worldwide
Scattering theory for automorphic functions by
Peter D Lax(
Book
)
23 editions published between 1974 and 2016 in English and Russian and held by 496 WorldCat member libraries worldwide
The application by Fadeev and Pavlov of the LaxPhillips 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 LaplaceBeltrami 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 LaplaceBeltrami 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
23 editions published between 1974 and 2016 in English and Russian and held by 496 WorldCat member libraries worldwide
The application by Fadeev and Pavlov of the LaxPhillips 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 LaplaceBeltrami 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 LaplaceBeltrami 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
Funkcional'nyj analiz i polugruppy by
Einar Hille(
Book
)
6 editions published in 1962 in Russian and held by 11 WorldCat member libraries worldwide
6 editions published in 1962 in Russian and held by 11 WorldCat member libraries worldwide
Teorija rassejanija by
Peter D Lax(
Book
)
4 editions published in 1971 in Russian and held by 11 WorldCat member libraries worldwide
4 editions published in 1971 in Russian and held by 11 WorldCat member libraries worldwide
Integration in a convex linear topological space by
Ralph S Phillips(
Book
)
5 editions published in 1940 in English and held by 8 WorldCat member libraries worldwide
5 editions published in 1940 in English and held by 8 WorldCat member libraries worldwide
Fan han fen xi yu ban qun by
Einar Hille(
Book
)
3 editions published in 1964 in Chinese and held by 4 WorldCat member libraries worldwide
3 editions published in 1964 in Chinese and held by 4 WorldCat member libraries worldwide
Applications of the theory of semigroup operators by
Ralph S Phillips(
Book
)
2 editions published in 1954 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1954 in English and held by 3 WorldCat member libraries worldwide
Theory of servomechanisms by
Hubert Maxwell James(
)
1 edition published in 1947 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1947 in English and held by 2 WorldCat member libraries worldwide
A precision delay multivibrator for range measurement by
Britton Chance(
Book
)
1 edition published in 1942 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1942 in English and held by 2 WorldCat member libraries worldwide
Purely decaying modes for the wave equation in the exterior of an obstacle by
Stanford University(
Book
)
2 editions published in 1969 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1969 in English and held by 2 WorldCat member libraries worldwide
Scaterring theory by
Peter D Lax(
Book
)
2 editions published between 1967 and 1989 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1967 and 1989 in English and held by 2 WorldCat member libraries worldwide
Scattering theory for automorphic functions. Princeton/N.J.: Princeton Univ by
Peter D Lax(
Book
)
2 editions published in 1976 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1976 in English and held by 2 WorldCat member libraries worldwide
Scattering theory [by] Peter D. Lax [and] Ralph S. Phillips by
Peter D Lax(
Book
)
1 edition published in 1967 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1967 in English and held by 2 WorldCat member libraries worldwide
Theory of Servomechanisms. Edited by H.M. James ... Nathaniel B. Nichols ... Ralph S. Phillips, etc by
Hubert Maxwell JAMES(
Book
)
1 edition published in 1947 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1947 in English and held by 2 WorldCat member libraries worldwide
Scattering Theory, Electromagnetic Theory and Their Applications(
Book
)
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
Theoretical calculation on best smoothing of position data for gunnery prediction by
Ralph S Phillips(
Book
)
1 edition published in 1944 in English and held by 1 WorldCat member library worldwide
1 edition published in 1944 in English and held by 1 WorldCat member library worldwide
Scattering Theory : Pure and Applied Mathematics, Vol. 26 by
Peter D Lax(
)
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
Scattering Theory for Automorphic Functions. (AM87) by
Peter D Lax(
)
1 edition published in 1977 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1977 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Lax, Peter D. Author Editor
 Hille, Einar 18941979 Author
 James, Hubert Maxwell 1908 Author Editor
 Nichols, Nathaniel B. Editor
 Massachusetts Institute of Technology Radiation Laboratory
 American Mathematical Society
 Smith, Paul A.
 Eilenberg, Samuel
 Staff, American Mathematical Society
 Nikol'skogo, N. K.
Useful Links
Associated Subjects
Automatic tracking Automorphic functions Banach spaces Calculus Functional analysis Group theory Integrals, Generalized Lax, Peter D Mathematical physics Multivibrators Phillips, Ralph S.(Ralph Saul), Rangefinding Scattering (Mathematics) Scattering (Physics) Semigroups Semigroups of operators Servomechanisms Topology Wavemotion, Theory of
Alternative Names
Fillips, Ral'f.
Fillips, Ral'f S.
Fillips, Ralʹf S. 1913
Fillips, Ral'f S. 19131998
Phillips, R. S.
Phillips, R. S. 19131998
Phillips, R. Saul
Phillips, Ralph S.
Phillips, Ralph Saul 1913
Phillips, Ralph Saul 19131998
Ralph Phillips
Ralph Phillips matematico statunitense
Ralph Phillips USamerikanischer Mathematiker
Ralph S. Phillips Amerikaans wiskundige (19131998)
Ralph S. Phillips amerikansk matematikar
Ralph S. Phillips amerikansk matematiker
Ralph S. Phillips matemático estadounidense
Ralph S. Phillips mathématicien américain
Ральф Филлипс американский математик
Филлипс, Ралф.
Филлипс, Ральф С..
Филлипс, Ральф С 1913
رالف اس. فیلیپس ریاضیدان آمریکایی
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