Oeuvres: Collected Papers (3 Volumes) (English, French and German Edition)

Science & Math

Borel, Armand

Mathematics

Springer, Verlag

This book provides an introduction to some aspects of the analytic theory of automorphic forms on G=SL2(R) or the upper-half plane X, with respect to a discrete subgroup ^D*G of G of finite covolume. The point of view is inspired by the theory of infinite dimensional unitary representations of G; this is introduced in the last sections, making this connection explicit. The topics treated include the construction of fundamental domains, the notion of automorphic form on ^D*G\G and its relationship with the classical automorphic forms on X, Poincaré series, constant terms, cusp forms, finite dimensionality of the space of automorphic forms of a given type, compactness of certain convolution operators, Eisenstein series, unitary representations of G, and the spectral decomposition of L2(^D*G/G). The main prerequisites are some results in functional analysis (reviewed, with references) and some familiarity with the elementary theory of Lie groups and Lie algebras.

Automorphic Forms on SL2 (R) (Cambridge Tracts in Mathematics)

Cambridge University Press

Automorphic Forms on SL2 (R) (Cambridge Tracts in Mathematics, Series Number 130)

Seminar on Transformation Groups (Annals of Mathematics Studies)

The description for this book, Seminar on Transformation Groups. (AM-46), Volume 46, will be forthcoming.

Biological Sciences

Princeton University Press

The description for this book, Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups. (AM-94), Volume 94, will be forthcoming.

Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups. (AM-94), Volume 94 (Annals of Mathematics Studies, 94)

Wallach, Nolan R.

The Description for this book, Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups. (AM-94), will be forthcoming.

<p>The description for this book, Seminar on Transformation Groups. (AM-46), Volume 46, will be forthcoming.</p>

Introduces uniform constructions of most of the known compactifications of symmetric and locally symmetric spaces, with emphasis on their geometric and topological structures Relatively self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to analysis, number theory, algebraic geometry and algebraic topology

Compactifications of Symmetric and Locally Symmetric Spaces (Mathematics: Theory & Applications)

Ji, Lizhen

Birkhauser

<p>This book is a publication in Swiss Seminars, a subseries of Progress in Mathematics. It is an expanded version of the notes from a seminar on intersection cohomology theory, which met at the University of Bern, Switzerland, in the spring of 1983. This volume supplies an introduction to the piecewise linear and sheaf-theoretic versions of that theory as developed by M. Goresky and R. MacPherson in Topology 19 (1980), and in Inventiones Mathematicae 72 (1983). Some familiarity with algebraic topology and sheaf theory is assumed.</p>

Intersection Cohomology (Modern Birkhäuser Classics)

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Books by Borel, Armand

See the best price to sell, buy, or rent books by Borel, Armand. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Oeuvres: Collected Papers (3 Volumes) (English, French and German Edition)

Automorphic Forms on SL2 (R) (Cambridge Tracts in Mathematics)

Automorphic Forms on SL2 (R) (Cambridge Tracts in Mathematics, Series Number 130)

Automorphic Forms on SL2 (R) (Cambridge Tracts in Mathematics, Series Number 130)

Seminar on Transformation Groups (Annals of Mathematics Studies)

Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups. (AM-94), Volume 94 (Annals of Mathematics Studies, 94)

Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups. (AM-94), Volume 94 (Annals of Mathematics Studies, 94)

Seminar on Transformation Groups (Annals of Mathematics Studies)

Compactifications of Symmetric and Locally Symmetric Spaces (Mathematics: Theory & Applications)

Intersection Cohomology (Modern Birkhäuser Classics)