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Title: REPRESENTATIONS OF NILPOTENT LIE GROUPS AND THEIR APPLICATIONS: VOLUME 1, PART 1, BASIC THEORY AND EXAMPLES
Volume: v. 1
By: Lawrence Corwin, Frederick P. Greenleaf, B. Bollobas
Format: Paperback

List price: £27.99
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ISBN 10: 0521604958
ISBN 13: 9780521604956
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 17 April, 2004
Series: Cambridge Studies in Advanced Mathematics No. 18
Pages: 280
Description: The first exposition of group representations and harmonic analysis for graduates for over twenty years.
Synopsis: There has been no exposition of group representations and harmonic analysis suitable for graduate students for over twenty years. In this, the first of two projected volumes, the authors remedy the situation by surveying all the basic theory developed since the pioneering work of Kirillov in 1958, and consolidating more recent results. Topics covered include basic Kirillov theory, algorithms for parametrizing all coadjoint orbits. The authors have not only given here a modern account of all topics necessary for current research, but have also included many computed examples. This volume can serve then either as a handbook for specialists, with a complete, self-contained exposition of major results, or as a textbook suitable for graduate courses in harmonic analysis.
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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3-TRANSPOSITION GROUPS (HB)
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ABELIAN VARIETIES, THETA FUNCTIONS AND THE FOURIER TRANSFORM (HB)
ADDITIVE COMBINATORICS (HB)
AFFINE DIFFERENTIAL GEOMETRY (HB)
ALGEBRAIC AUTOMATA THEORY (PB)
ALGEBRAIC CURVES OVER FINITE FIELDS (PB)
ALGEBRAIC HOMOTOPY (HB)
ALGEBRAIC L-THEORY AND TOPOLOGICAL MANIFOLDS (HB)
ALGEBRAIC NUMBER THEORY (PB)
AN INTRODUCTION TO HOMOLOGICAL ALGEBRA (PB)
AN INTRODUCTION TO THE THEORY OF THE RIEMANN ZETA-FUNCTION (PB)
ANALYSIS ON FRACTALS (HB)
APPROACHES TO THE THEORY OF OPTIMIZATION (PB)
APPROXIMATION BY ALGEBRAIC NUMBERS (HB)
ARITHMETIC OF QUADRATIC FORMS (PB)
ASSOCIATION SCHEMES (HB)
ASYMPTOTIC EXPANSIONS (PB)
AUTOMORPHIC FORMS AND L-FUNCTIONS FOR THE GROUP GL(N,R) (HB)
AUTOMORPHIC FORMS AND REPRESENTATIONS (PB)
AUTOMORPHIC FORMS ON SL2 (R) (HB)
BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES (HB)
CALCULUS IN VECTOR SPACES (HB)
CALCULUS OF VARIATIONS (HB)
CLIFFORD ALGEBRAS AND DIRAC OPERATORS IN HARMONIC ANALYSIS (HB)
COHEN-MACAULAY RINGS (PB)
COHOMOLOGY OF DRINFELD MODULAR VARIETIES, PART 2, AUTOMORPHIC FORMS, TRACE FORMULAS AND LANGLANDS CORRESPONDENCE (HB)
COMPLETENESS AND BASIS PROPERTIES OF SETS OF SPECIAL FUNCTIONS (PB)
CONTINUUM PERCOLATION (HB)
DERIVATION AND INTEGRATION (HB)
DESIGNS AND THEIR CODES (HB)
DESIGNS AND THEIR CODES (PB)
DUALITY AND PERTURBATION METHODS IN CRITICAL POINT THEORY (HB)
DUALITY IN ANALYTIC NUMBER THEORY (HB)
DYNAMICAL SYSTEMS AND SEMISIMPLE GROUPS (HB)
ENDS OF COMPLEXES (HB)
ERGODIC THEORY (PB)
FINITE FREE RESOLUTIONS (PB)
FINITE GROUP THEORY (HB)
FINITE PACKING AND COVERING (HB)
FOURIER INTEGRALS IN CLASSICAL ANALYSIS (HB)
FREDHOLM THEORY IN BANACH SPACES (PB)
FUNCTION SPACES, ENTROPY NUMBERS, DIFFERENTIAL OPERATORS (HB)
GALOIS THEORIES (HB)
GAUSSIAN HILBERT SPACES (HB)
GENERAL IRREDUCIBLE MARKOV CHAINS AND NON-NEGATIVE OPERATORS (PB)
GEOMETRIC CONTROL THEORY (HB)
GEOMETRY OF SETS AND MEASURES IN EUCLIDEAN SPACES (PB)
GRAPH THEORY (PB)
GRAPH THEORY AND COMBINATORICS 1988 (PB)
GROUPS ACTING ON GRAPHS (HB)
HARMONIC MAPPINGS IN THE PLANE (HB)
HODGE THEORY AND COMPLEX ALGEBRAIC GEOMETRY II: VOLUME 2 (HB)
HOPF ALGEBRAS (PB)
HYPERBOLICITY AND SENSITIVE CHAOTIC DYNAMICS AT HOMOCLINIC BIFURCATIONS (PB)
IDEAL THEORY (PB)
INFINITE ELECTRICAL NETWORKS (HB)
INTRODUCTION TO ANALYTIC AND PROBABILISTIC NUMBER THEORY (HB)
INTRODUCTION TO HIGHER-ORDER CATEGORICAL LOGIC (PB)
INTRODUCTION TO HP SPACES (HB)
INTRODUCTORY LECTURES ON SIEGEL MODULAR FORMS (HB)
INVARIANTS OF QUADRATIC DIFFERENTIAL FORMS (PB)
LECTURES IN LOGIC AND SET THEORY: VOLUME 1, MATHEMATICAL LOGIC (HB)
LECTURES IN LOGIC AND SET THEORY: VOLUME 2, SET THEORY (HB)
LECTURES ON VECTOR BUNDLES (HB)
LINEAR ALGEBRA I
LOCAL COHOMOLOGY (HB)
MARKOV PROCESSES, GAUSSIAN PROCESSES, AND LOCAL TIMES (HB)
MATRICES OF SIGN-SOLVABLE LINEAR SYSTEMS (HB)
MODULAR FORMS AND GALOIS COHOMOLOGY (HB)
MULTIPLE FORCING (HB)
MULTIPLICATIVE NUMBER THEORY I (HB)
MULTIVALENT FUNCTIONS (HB)
MULTIVARIABLE CALCULUS (HB)
NOTES ON TIME DECAY AND SCATTERING FOR SOME HYPERBOLIC PROBLEMS (PB)
ON L1-APPROXIMATION (HB)
POLYCYCLIC GROUPS (PB)
POSITIVE HARMONIC FUNCTIONS AND DIFFUSION (HB)
PROCEEDINGS OF THE CONFERENCE ON BANACH ALGEBRAS AND SEVERAL COMPLEX VARIABLES (PB)
QUANTUM STOCHASTIC PROCESSES AND NON-COMMUTATIVE GEOMETRY (HB)
RANDOM FRAGMENTATION AND COAGULATION PROCESSES (HB)
RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS (PB)
REAL ANALYSIS AND PROBABILITY (HB)
REFLECTION GROUPS AND COXETER GROUPS (PB)
REPRESENTATION THEORY AND ANALYSIS ON HOMOGENEOUS SPACES (PB)
REPRESENTATIONS AND CHARACTERS OF FINITE GROUPS (HB)
REPRESENTATIONS AND COHOMOLOGY: VOLUME 1, BASIC REPRESENTATION THEORY OF FINITE GROUPS AND ASSOCIATIVE ALGEBRAS (HB)
REPRESENTATIONS AND COHOMOLOGY: VOLUME 1, BASIC REPRESENTATION THEORY OF FINITE GROUPS AND ASSOCIATIVE ALGEBRAS (PB)
REPRESENTATIONS AND COHOMOLOGY: VOLUME 2, COHOMOLOGY OF GROUPS AND MODULES (PB)
REPRESENTATIONS OF NILPOTENT LIE GROUPS AND THEIR APPLICATIONS: VOLUME 1, PART 1, BASIC THEORY AND EXAMPLES (HB)
RESULTS AND PROBLEMS IN COMBINATORIAL GEOMETRY
RIEMANNIAN GEOMETRY (PB)
SOME APPLICATIONS OF MODULAR FORMS (HB)
SOME RANDOM SERIES OF FUNCTIONS (PB)
SPECTRAL DECOMPOSITION AND EISENSTEIN SERIES (HB)
SPECTRAL THEORY AND DIFFERENTIAL OPERATORS (PB)
SPECTRAL THEORY OF THE RIEMANN ZETA-FUNCTION (HB)
SPINNING TOPS (HB)
STOCHASTIC APPROXIMATION (PB)
STOCHASTIC FLOWS AND STOCHASTIC DIFFERENTIAL EQUATIONS (PB)
STONE SPACES (PB)
SURVEYS IN COMBINATORICS
SURVEYS IN COMBINATORICS (PB)
THE GELFAND MATHEMATICAL SEMINARS (HB)
THE GELFAND MATHEMATICAL SEMINARS, 1990-1992 (HB)
THE GELFAND MATHEMATICAL SEMINARS, 1990-1992 (PB)
THE GEOMETRY OF FRACTAL SETS (PB)
THE HARDY-LITTLEWOOD METHOD (HB)
THE LEBESGUE INTEGRAL (PB)
THE LEVY LAPLACIAN (HB)
THE LOGARITHMIC INTEGRAL (PB)
THE RIEMANN APPROACH TO INTEGRATION (HB)
THE THEORY OF CLUSTER SETS (PB)
TOLERANCE GRAPHS (HB)
TOPICS IN ERGODIC THEORY (PB)
TOPICS IN METRIC FIXED POINT THEORY (HB)
ULTRAMETRIC CALCULUS (PB)
WAVELETS AND OPERATORS (PB)

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