Browsing Department of Mathematics by Title
Now showing items 20-35 of 35
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Paley-Wiener theorems and surjectivity of invariant differential operators on symmetric spaces and Lie groups
(American Mathematical Society, 1973) -
The Picard Scheme
(2013-09)This article introduces, informally, the substance and the spirit of Grothendieck's theory of the Picard scheme, highlighting its elegant simplicity, natural generality, and ingenious originality against the larger ... -
Point configurations minimizing harmonic energy on spheres
(2021-06-13)This data set contains updated numerical data for the paper "Experimental study of energy-minimizing point configurations on spheres" (Experiment. Math. 18 (2009), no. 3, 257-283). -
Radon-Fourier transforms on symmetric spaces and related group representations
(American Mathematical Society, 1965) -
Response to Steele Prize Award
(American Mathematical Society, 1988) -
Sloane's tables of point configurations on spheres
(2023-01-07)These tables of point configurations on spheres were created by N. J. A. Sloane based on joint work with R. H. Hardin, W. D. Smith, and others. Sloane has since retired from AT&T Labs, and Henry Cohn has taken over maintaining ... -
Small spherical and projective codes
(2022-05-23)This data set describes the best spherical and real projective codes that are known to exist (to the best of my knowledge), for up to 32 points on spheres or 16 lines through the origin in the real projective case. It ... -
Some results on invariant theory
(American Mathematical Society, 1962) -
Strictly small representations and a reduction theorem for the unitary dual
(American Mathematical Society, 2001)To any irreducible unitary representation X of a real reductive Lie group we associate in a canonical way, a Levi subgroup Gsu and a representation of this subgroup. Assuming a conjecture of the authors on the infinitesimal ... -
Table of kissing number bounds
(2024-01-16)This table shows the best lower and upper bounds known for the kissing number in Euclidean spaces of dimensions 1 through 48 and 72. -
Table of sphere packing density bounds
(2024-01-15)This table shows the best lower and upper bounds known for the packing density of congruent spheres in Euclidean spaces of dimensions 1 through 48, 56, 64, and 72. -
Table of spherical codes
(2024-02-18)This table lists the best spherical codes I am aware of with up to 1024 points in up to 32 dimensions. It archives the data from https://spherical-codes.org in a form more suitable for citation, since it is likely to be ... -
A term of Commutative Algebra
(Worldwide Center of Mathematics, 2021-04-11)There is no shortage of books on Commutative Algebra, but the present book is different. Most books are monographs, with extensive coverage. But there is one notable exception: Atiyah and Macdonald's 1969 classic. It ... -
A term of Commutative Algebra
(Worldwide Center of Mathematics, 2013-05-04)There is no shortage of books on Commutative Algebra, but the present book is different. Most books are monographs, with extensive coverage. But there is one notable exception: Atiyah and Macdonald's 1969 classic. It ... -
Topologies of group algebras and a theorem of Littlewood
(American Mathematical Society, 1957)An important problem in Fourier analysis is that of investigating the relationship between the "size" of a function and the "size" of its Fourier transform. The present paper can be regarded as a contribution to this problem. -
Two formulas for the BR multiplicity
(Springer-Verlag, 2016-07)We prove a projection formula, expressing a relative Buchsbaum–Rim multiplicity in terms of corresponding ones over a module-finite algebra of pure degree, generalizing an old formula for the ordinary (Samuel) multiplicity. ...
