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Generalized functions. Volume 5, Integral geometry and representation theory /
Integral Geometry and Representation Theory.
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Ruso |
| Publicado: |
New York :
Academic Press,
1966.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn893679393 | ||
| 003 | OCoLC | ||
| 005 | 20231120111828.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 141024s1966 nyu ob 001 0 eng d | ||
| 040 | |a OPELS |b eng |e rda |e pn |c OPELS |d OPELS |d E7B |d OCLCQ |d COO |d OCLCQ |d OCLCA |d VLY |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO | ||
| 019 | |a 1162014544 | ||
| 020 | |a 9781483229751 |q (electronic bk.) | ||
| 020 | |a 1483229750 |q (electronic bk.) | ||
| 020 | |a 9781483262253 |q (e-book) | ||
| 020 | |a 1483262251 |q (e-book) | ||
| 035 | |a (OCoLC)893679393 |z (OCoLC)1162014544 | ||
| 041 | 1 | |a eng |h rus | |
| 050 | 4 | |a QA331 |b .G4513 1966eb | |
| 082 | 0 | 4 | |a 515/.7 |2 23 |
| 100 | 1 | |a Gel�fand, I. M. |q (Izrail� Moiseevich), |e author. | |
| 240 | 1 | 0 | |a Integral'naya geometriya i svyazannye s ne�i voprosy teorii predstavleni�i. |l English |
| 245 | 1 | 0 | |a Generalized functions. |n Volume 5, |p Integral geometry and representation theory / |c I.M. Gel'fand, M.I. Graev and N. Ya. Vilenkin, Academy of Sciences, U.S.S.R. ; translated by Eugene Saletan, Department of Physics, Northeastern University, Boston, Massachusetts. |
| 246 | 3 | 0 | |a Integral geometry and representation theory |
| 264 | 1 | |a New York : |b Academic Press, |c 1966. | |
| 300 | |a 1 online resource (viii, 449 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 546 | |a Translated from Russian. | ||
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references (pages 442-444) and indexes. | ||
| 505 | 0 | |a Front Cover; Integral Geometry and Representation Theory; Copyright Page; Translator's Note; Foreword; Table of Contents; CHAPTER I. RADON TRANSFORM OF TEST FUNCTIONS AND GENERALIZED FUNCTIONSON A REAL AFFINE SPACE; 1. The Radon Transform on a Real Affine Space; 2. The Radon Transform of Generalized Functions; 3. Radon Transforms of Some Particular Generalized Functions; 4. Summary of Radon Transform Formulas; CHAPTER II. INTEGRAL TRANSFORMS IN THECOMPLEX DOMAIN; 1. Line Complexes in a Space of Three Complex Dimensionsand Related Integral Transforms | |
| 505 | 8 | |a 2. Integral Geometry on a Quadratic Surface in a Space of Four Complex Dimensions3. The Radon Transform in the Complex Domain; CHAPTER III. REPRESENTATIONS OF THE GROUP OF COMPLEX UNIMODULAR MATRICESIN TWO DIMENSIONS; 1. The Group of Complex Unimodular Matricesin Two Dimensions and Some of Its Realizations; 2. Representations of the Lorentz GroupActing on Homogeneous Functions of Two Complex Variables; 3. Summary of Basic Results concerning Representations on Dx; 4. Invariant Bilinear Functionals; 5. Equivalence of Representations of G; 6. Unitary Representations of G | |
| 505 | 8 | |a CHAPTER IV. HARMONIC ANALYSIS ON THE GROUP OF COMPLEX UNIMODULAR MATRICESIN TWO DIMENSIONS1. Definition of the Fourier Transform on a Group. Statement of the Problems and Summary of the Results; 2, Properties of the Fourier Transform on G; 3. Inverse Fourier Transform and Plancherel's Theorem for G; 4. Differential Operators on G; 5. The Paley-Wiener Theorem for the Fourier Transform on G; CHAPTER V. INTEGRAL GEOMETRYIN A SPACE OF CONSTANT CURVATURE; 1. Spaces of ConstantCurvature; 2. Integral Transform Associated with Horospheresin a Lobachevskian Space | |
| 505 | 8 | |a 3. Integral Transform Associated with Horospheresin an Imaginary Lobachevskian SpaceCHAPTER VI. HARMONIC ANALYSIS ON SPACES HOMOGENEOUS WITH RESPECT TO THELORENTZ GROUP; 1. Homogeneous Spaces and the Associated Representationsof the Lorentz Group; 2. Representations of the Lorentz Group Associated with the Complex Affine Plane and with the Cone, and Their Irreducible Components; 3. Decomposition of the Representation of the Lorentz GroupAssociated with Lobachevskian Space; 4. Decomposition of the Representation of the Lorentz GroupAssociated with Imaginary Lobachevskian Space | |
| 505 | 8 | |a 5. Integral Geometry and Harmonic Analysis on the Point Pairs on the Complex Projective LineCHAPTER VII. REPRESENTATIONS OF THE GROUP OF REAL UNIMODULAR MATRICESIN TWO DIMENSIONS; 1. Representations of the Real Unimodular Matrices in Two Dimensions Acting on Homogeneous Functionsof Two Real Variables; 2. Summary of the Basic Results concerningRepresentations on Dx; 3. Invariant Bilinear Functionals; 4. Equivalence of Two Representations; 5. Unitary Representations of G; NOTES AND REFERENCESTO THE LITERATURE; BIBLIOGRAPHY; Index | |
| 520 | |a Integral Geometry and Representation Theory. | ||
| 650 | 0 | |a Theory of distributions (Functional analysis) | |
| 650 | 6 | |a Th�eorie des distributions (Analyse fonctionnelle) |0 (CaQQLa)201-0058588 | |
| 650 | 7 | |a Theory of distributions (Functional analysis) |2 fast |0 (OCoLC)fst01149672 | |
| 700 | 1 | |a Graev, M. I. |q (Mark Iosifovich), |e author. | |
| 700 | 1 | |a Vilenkin, N. �I�A. |q (Naum �I�Akovlevich), |e author. | |
| 700 | 1 | |a Saletan, Eugene J. |q (Eugene Jerome), |d 1924- |e translator. | |
| 776 | 0 | 8 | |i Print version: |a Gel'fand, I.M. (Izrail' Moiseevich), 1913- |t Generalized functions. Vol. 5, Integral geometry and representation theory |z 9781483262253 |w (OCoLC)264215886 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9781483229751 |z Texto completo |