Browsing Department of Mathematics by Issue Date
Now showing items 120 of 34

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. 
Some results on invariant theory
(American Mathematical Society, 1962) 
Fundamental solutions of invariant differential operators on symmetric spaces
(American Mathematical Society, 1963) 
Duality and Radon transform for symmetric spaces
(American Mathematical Society, 196307) 
A duality in integral geometry; some generalizations of the Radon transform
(American Mathematical Society, 1964) 
RadonFourier transforms on symmetric spaces and related group representations
(American Mathematical Society, 1965) 
A Fatou type theorem for harmonic functions on symmetric spaces
(American Mathematical Society, 1968) 
PaleyWiener theorems and surjectivity of invariant differential operators on symmetric spaces and Lie groups
(American Mathematical Society, 1973) 
Invariant differential equations on homogeneous manifolds
(American Mathematical Society, 1977) 
Functions on the model orbit in E8
(American Mathematical Society, 1988)We decompose the ring of regular functions on the unique coadjoint orbit for complex E8 of dimension 128, finding that every irreducible representation appears exactly once. This confirms a conjecture of McGovern. We also ... 
Response to Steele Prize Award
(American Mathematical Society, 1988) 
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 ... 
Inducedcharge electroosmosis
(Cambridge University Press, 2004)We describe the general phenomenon of â€˜inducedcharge electroosmosis’ (ICEO) – the nonlinear electroosmotic slip that occurs when an applied field acts on the ionic charge it induces around a polarizable surface. ... 
The Development of Intersection Homology Theory
(American Society for Microbiology, 200806)This historical introduction is in two parts. The first is reprinted with permission from "A century of mathematics in America, Part II," Hist. Math., 2, Amer. Math. Soc., 1989, pp.543585. Virtually no change has been ... 
The Canonical Model of a Singular Curve
(Springer, 200904)We give re fined statements and modern proofs of Rosenlicht's re sults about the canonical model C′ of an arbitrary complete integral curve C. Notably, we prove that C and C′ are birationally equivalent if and only if ... 
A fundamental relation between phase and group velocity, and application to the failure of perfectly matched layers in backwardwave structures
(American Physical Society, 20090611)We demonstrate that the ratio of group to phase velocity has a simple relationship to the orientation of the electromagnetic field. In nondispersive materials, opposite group and phase velocity corresponds to fields that ... 
Enriques diagrams, arbitrarily near points, and Hilbert schemes
(European Mathematical Society, 201109)Given a smooth family F/Y of geometrically irreducible surfaces, we study sequences of arbitrarily near Tpoints of F/Y; they generalize the traditional sequences of infinitely near points of a single smooth surface. We ... 
Maslov theory and singularities
(20130207) 
A term of Commutative Algebra
(Worldwide Center of Mathematics, 20130504)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 ... 
The Picard Scheme
(201309)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 ...