共查询到20条相似文献,搜索用时 15 毫秒
1.
Roberto Johnson José Pantoja 《Proceedings of the American Mathematical Society》2007,135(2):579-586
Let be a non-archimedean local field with odd residual characteristic. Let be the group We construct explicit Whittaker models for any supercuspidal representation of with positive level.
2.
Jerzy Kakol Stephen A. Saxon Aaron R. Todd 《Proceedings of the American Mathematical Society》2004,132(6):1703-1712
Let be a completely regular Hausdorff space, and let be the space of continuous real-valued functions on endowed with the compact-open topology. We find various equivalent conditions for to be a -space, resolving an old question of Jarchow and consolidating work by Jarchow, Mazon, McCoy and Todd. Included are analytic characterizations of pseudocompactness and an example that shows that, for , Grothendieck's -spaces do not coincide with Jarchow's -spaces. Any such example necessarily answers a thirty-year-old question on weak barrelledness properties for , our original motivation.
3.
In this paper, we give a weak classification of locally linear pseudofree actions of the cyclic group of order on a surface, and prove the existence of such an action which cannot be realized as a smooth action on the standard smooth surface.
4.
K. Smela 《Proceedings of the American Mathematical Society》2007,135(6):1709-1716
We find a condition to be satisfied by strictly increasing sequences of natural numbers guaranteeing that corresponding subsequences of the Haar basis (consisting of full levels) are equivalent or span isomorphic spaces. This applies in particular to Hardy spaces for . We also construct a continuum of greedy nonequivalent bases in .
5.
Andreas Weingartner 《Proceedings of the American Mathematical Society》2007,135(9):2677-2681
Let be the sum of the positive divisors of . We show that the natural density of the set of integers satisfying is given by , where denotes Euler's constant. The same result holds when is replaced by , where is Euler's totient function.
6.
Michael A. Hill 《Proceedings of the American Mathematical Society》2007,135(12):4075-4086
In this paper, we introduce a Hopf algebra, developed by the author and André Henriques, which is usable in the computation of the -homology of a space. As an application, we compute the -homology of in a manner analogous to Mahowald and Milgram's computation of the -homology .
7.
Takateru Okayasu Yasunori Ueta 《Proceedings of the American Mathematical Society》2007,135(5):1399-1403
We will give some sufficient conditions for a -hyponormal operator, , to be normal, and a sufficient condition for a triplet of operators , , with , self-adjoint and unitary such that necessarily satisfies .
8.
S. Prashanth 《Proceedings of the American Mathematical Society》2007,135(1):201-209
Let denote the closure of in the norm Let and define the constants and Let We consider the following problem for We show an exact multiplicity result for for all small .
9.
Bassam Shayya 《Proceedings of the American Mathematical Society》2007,135(4):1107-1113
We prove that the Fourier transform of an function can be restricted to any compact convex surface of revolution in .
10.
David Schrittesser 《Proceedings of the American Mathematical Society》2007,135(4):1213-1222
-absoluteness for forcing means that for any forcing , . `` inaccessible to reals' means that for any real , . To measure the exact consistency strength of `` -absoluteness for forcing and is inaccessible to reals', we introduce a weak version of a weakly compact cardinal, namely, a (lightface) -indescribable cardinal; has this property exactly if it is inaccessible and .
11.
E. Batzies 《Proceedings of the American Mathematical Society》2007,135(10):3341-3347
We establish a homeomorphism between the moduli space of ordered -tuples of 2-dimensional linear subspaces (mod ) and the quotient by simultaneous conjugation of a certain open subset . For , this leads to an explicit computation of the moduli space of central 2-arrangements in mod and its subspace of those classes that contain a complex hyperplane arrangement.
12.
For a compact space we consider extending endomorphisms of the algebra to be endomorphisms of Arens-Hoffman and Cole extensions of . Given a non-linear, monic polynomial , with semi-simple, we show that if an endomorphism of extends to the Arens-Hoffman extension with respect to , then it also extends to the simple Cole extension with respect to . We show that the converse to this is false. For a locally connected, metric we characterize the algebraically closed in terms of the extendability of endomorphisms to Arens-Hoffman and to simple Cole extensions.
13.
Gregory C. Verchota 《Proceedings of the American Mathematical Society》2007,135(3):891-894
Harmonic maps from the closed disc onto bounded convex sets of the plane obey .
14.
Let be a sequence of distinct positive numbers. Let and let denote the extremal Müntz polynomial in with exponents . We investigate the zero distribution of . In particular, we show that if then the normalized zero counting measure of converges weakly as to while if or , the limiting measure is a Dirac delta at or , respectively.
15.
Yifeng Yu 《Proceedings of the American Mathematical Society》2007,135(5):1449-1454
This note is motivated by Evans (2004) and Anantharaman (2004). We study the semiclassical measure arising from the operator when the potential has degenerate minimum points. We will use the technique of integration by parts and some identities of Evans to derive information on the support of the measure.
16.
Walter Ferrer Santos Alvaro Rittatore 《Proceedings of the American Mathematical Society》2007,135(4):961-968
In this paper we axiomatize some constructions and results due to Cayley and Hilbert. We define the concept of -process for an arbitrary affine algebraic monoid with zero and unit group . In our situation we show how to produce from the process and for a linear rational representation of a number of elements of the ring of -invariants that is large enough to guarantee its finite generation. Moreover, using complete reducibility, we give an explicit construction of all -processes for reductive monoids.
17.
L. Birbrair J. C. F. Costa A. Fernandes M. A. S. Ruas 《Proceedings of the American Mathematical Society》2007,135(4):1089-1095
In this paper we prove that the set of equivalence classes of germs of real polynomials of degree less than or equal to , with respect to -bi-Lipschitz equivalence, is finite.
18.
D. A. Redett 《Proceedings of the American Mathematical Society》2005,133(4):1151-1156
In this note we extend the ``Beurling type' characterizations of subspaces of and to and , respectively.
19.
Kenneth S. Berenhaut John D. Foley Stevo Stevic 《Proceedings of the American Mathematical Society》2007,135(4):1133-1140
This paper studies the behavior of positive solutions of the recursive equation
with and , where . We prove that if , with odd, then tends to , exponentially. When combined with a recent result of E. A. Grove and G. Ladas (Periodicities in Nonlinear Difference Equations, Chapman & Hall/CRC Press, Boca Raton (2004)), this answers the question when is a global attractor.
with and , where . We prove that if , with odd, then tends to , exponentially. When combined with a recent result of E. A. Grove and G. Ladas (Periodicities in Nonlinear Difference Equations, Chapman & Hall/CRC Press, Boca Raton (2004)), this answers the question when is a global attractor.
20.
D. A. Redett 《Proceedings of the American Mathematical Society》2005,133(5):1459-1461
In this note, we give a new proof of the characterization of the -invariant subspaces of for in using ideas from approximation theory. 相似文献