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Norms of certain operators on . . .
, 2002
"... The problem addressed is the exact determination of the norms of the classical Hilbert, Copson and averaging operators on weighted ℓp spaces and the corresponding Lorentz sequence spaces d(w, p), with the power weighting sequence wn = n −α or the variant defined by w1 + · · ·+wn = n 1−α. Exact val ..."
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The problem addressed is the exact determination of the norms of the classical Hilbert, Copson and averaging operators on weighted ℓp spaces and the corresponding Lorentz sequence spaces d(w, p), with the power weighting sequence wn = n −α or the variant defined by w1 + · · ·+wn = n 1−α. Exact
qanalogues of certain operational formulae
 Houston J. Math
, 1987
"... ABSTRACT. The present paper deals with qanalogues of certain operational formulae for Laguerre polynomials due to Gould and Hopper [2], Carlitz [1] and Rainville [9]. õ 1. Introduction. In 1960, Carlitz [1] gave the following operational formula for Laguerre polynomials: x k (1) II]n=l(a+jx+xD):n! ..."
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Cited by 2 (0 self)
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ABSTRACT. The present paper deals with qanalogues of certain operational formulae for Laguerre polynomials due to Gould and Hopper [2], Carlitz [1] and Rainville [9]. õ 1. Introduction. In 1960, Carlitz [1] gave the following operational formula for Laguerre polynomials: x k (1) II
Certain Operators with Rough Singular Kernels
"... Abstract. We study the singular integral operator TΩ,α f (x) = p.v. Rn b(y)Ω(y ′)y  −n−α f (x − y) dy, defined on all test functions f,where b is a bounded function, α ≥ 0, Ω(y ′) is an integrable function on the unit sphere Sn−1 satisfying certain cancellation conditions. We prove that, for 1 ..."
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Cited by 1 (1 self)
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Abstract. We study the singular integral operator TΩ,α f (x) = p.v. Rn b(y)Ω(y ′)y  −n−α f (x − y) dy, defined on all test functions f,where b is a bounded function, α ≥ 0, Ω(y ′) is an integrable function on the unit sphere Sn−1 satisfying certain cancellation conditions. We prove that, for 1
Computation of Functions of Certain Operator Matrices
"... This note gives a simple method to compute the entries of holomorphic functions of a 2 \Theta 2 block or operator matrix which can be written as a product. To illustrate this method, the entries are given for the exponential, fractional powers and inverse of such operator matrices. If H and K are Hi ..."
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This note gives a simple method to compute the entries of holomorphic functions of a 2 \Theta 2 block or operator matrix which can be written as a product. To illustrate this method, the entries are given for the exponential, fractional powers and inverse of such operator matrices. If H and K
Derivations And Automorphisms Of Certain Operator Algebras
"... this paper we discuss the bounded automorphisms of these algebras. In many cases we are able to concretely determine the automorphism group Aut(A) of an operator algebra A (which is not usually possible), and an important consequence of our work is that it provides systematic ways to construct large ..."
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this paper we discuss the bounded automorphisms of these algebras. In many cases we are able to concretely determine the automorphism group Aut(A) of an operator algebra A (which is not usually possible), and an important consequence of our work is that it provides systematic ways to construct
LexicalFunctional Grammar: A Formal System for Grammatical Representation
 IN: FORMAL ISSUES IN LEXICALFUNCTIONAL GRAMMAR
, 1995
"... In learning their native language, children develop a remarkable set of capabilities. They acquire knowledge and skills that enable them to produce and comprehend an indefinite number of novel utterances, and to make quite subtle judgments about certain of their properties. The major goal of psychol ..."
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Cited by 609 (23 self)
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In learning their native language, children develop a remarkable set of capabilities. They acquire knowledge and skills that enable them to produce and comprehend an indefinite number of novel utterances, and to make quite subtle judgments about certain of their properties. The major goal
SIGNAL RECOVERY BY PROXIMAL FORWARDBACKWARD SPLITTING
 MULTISCALE MODEL. SIMUL. TO APPEAR
"... We show that various inverse problems in signal recovery can be formulated as the generic problem of minimizing the sum of two convex functions with certain regularity properties. This formulation makes it possible to derive existence, uniqueness, characterization, and stability results in a unifi ..."
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Cited by 509 (24 self)
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We show that various inverse problems in signal recovery can be formulated as the generic problem of minimizing the sum of two convex functions with certain regularity properties. This formulation makes it possible to derive existence, uniqueness, characterization, and stability results in a
Hierarchical Models of Object Recognition in Cortex
, 1999
"... The classical model of visual processing in cortex is a hierarchy of increasingly sophisticated representations, extending in a natural way the model of simple to complex cells of Hubel and Wiesel. Somewhat surprisingly, little quantitative modeling has been done in the last 15 years to explore th ..."
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Cited by 836 (84 self)
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predictions. The model is based on a novel MAXlike operation on the inputs to certain cortical neurons which may have a general role in cortical function.
Multiresolution grayscale and rotation invariant texture classification with local binary patterns
 IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
, 2002
"... This paper presents a theoretically very simple, yet efficient, multiresolution approach to grayscale and rotation invariant texture classification based on local binary patterns and nonparametric discrimination of sample and prototype distributions. The method is based on recognizing that certain ..."
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Cited by 1299 (39 self)
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that certain local binary patterns, termed "uniform," are fundamental properties of local image texture and their occurrence histogram is proven to be a very powerful texture feature. We derive a generalized grayscale and rotation invariant operator presentation that allows for detecting the "
Compressive sensing
 IEEE Signal Processing Mag
, 2007
"... The Shannon/Nyquist sampling theorem tells us that in order to not lose information when uniformly sampling a signal we must sample at least two times faster than its bandwidth. In many applications, including digital image and video cameras, the Nyquist rate can be so high that we end up with too m ..."
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Cited by 696 (62 self)
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will learn about a new technique that tackles these issues using compressive sensing [1, 2]. We will replace the conventional sampling and reconstruction operations with a more general linear measurement scheme coupled with an optimization in order to acquire certain kinds of signals at a rate significantly
Results 1  10
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19,308