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|  | | 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。 | |
The first one is a conjecture of Ian Hughes which states that iff1, ..., fn are primary invariants of a finite linear groupG, then the least common multiple of the degrees of thefi is a multiple of the exponent ofG.
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An affine pseudo-plane X is a smooth affine surface defined over ${\Bbb C}$ which is endowed with an ${\Bbb A}^1$-fibration such that every fiber is irreducible and only one fiber is a multiple fiber.
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Estimates from below for the norms of linear means of multiple Fourier series are obtained.
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We show that every frame for a Hilbert space H can be written as a (multiple of a) sum of three orthonormal bases for H.
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We further show that every frame can be written as a (multiple of a) sum of two tight frames with frame bounds one or a sum of an orthonormal basis and a Riesz basis for H.
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Aliasing error bounds are derived for one- and two-channel sampling series analogous to the Whittaker-Kotel'nikov-Shannon series, and for the multi-band sampling series, and a "derivative" extension of it, due to Dodson, Beaty, et al.
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Generalized multi-resolution analyses and a construction procedure for all wavelet sets in ?n
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It is a genuine Clifford analysis construct, which is shown to be a refinement of the classical multi-dimensional Fourier transform.
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Multi-dimensional Vladimirov's and Taibleson's fractional operators, and a class of p-adic pseudo-differential operators are studied on these spaces.
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We propose a unified approach to the theory of Riesz transforms and conjugacy in the setting of multi-dimensional orthogonal expansions.
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They result in many nontrivial properties of quantum immanants.
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We give explicit systems of generators of the algebras of invariant polynomials in arbitrary many vector variables for the classical reflection groups (including the dihedral groups).
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However, there are many examples that do not arise from this construction.
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The main goal of this paper is to show that this construction produces many new Gelfand pairs associated with nilpotent Lie groups.
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The list consists of many series defined by simple equations, and of several exceptional superalgebras, among themE(3, 6).
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Finally we show for more than half of the infinite series that a presentation for the fundamental group of the space of regular orbits ofW can be derived from our presentations.
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In the present article we propose a more detailed proof of this fact than the one given by Varagnolo and Vasserot.
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More precisely, each orbit of the above action intersects one componentX ofQ in a finite number of points and the action of PGL4 restricted on each componentX is equivalent to the action of a finite groupGX onX which can be explicitely computed.
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We prove a more general version of a result announced without proof in [DP], claiming roughly that in a partially integrable highest weight module over a Kac-Moody algebra the integrable directions from a parabolic subalgebra.
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Here we provide certain conditions (more general than those in [Ka1]) which guarantee preservation of the topology under a modification.
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