نتایج جستجو برای: right tau convolution tau_r convolution

تعداد نتایج: 316572  

In this paper, we study $L^p$-conjecture on locally compact hypergroups and by some technical proofs we give some sufficient and necessary conditions  for a weighted Lebesgue space  $L^p(K,w)$ to be a convolution Banach algebra, where $1<p<infty$, $K$ is a locally compact hypergroup and $w$ is a weight function on $K$.  Among the other things, we also show that if $K$ is a locally compact hyper...

Journal: :J. London Math. Society 2013
Alexander Alldridge Joachim Hilgert Martin Laubinger

We define a Fourier transform and a convolution product for functions and distributions on Heisenberg–Clifford Lie supergroups. The Fourier transform exchanges the convolution and a pointwise product, and is an intertwining operator for the left regular representation. We generalize various classical theorems, including the Paley–Wiener–Schwartz theorem, and define a convolution Banach algebra.

2013
M. N. MURTY

This paper presents a new algorithm for the implementation of an N-point prime-length discrete sine transform (DST) through cyclic convolution. The proposed algorithm is based on the idea of reformulating prime N-length DST into two 1 /2 point cyclic convolutions. Thus, the hardware complexity can be reduced. This cyclic convolution –based algorithm is used to obtain a simple systolic array for...

 In this paper, we introduce new classes $sum_{k,p,n}(alpha ,m,lambda ,l,rho )$ and $mathcal{T}_{k,p,n}(alpha ,m,lambda ,l,rho )$ of p-valent meromorphic functions defined by using the extended multiplier transformation operator. We use a strong convolution technique and derive inclusion results. A radius problem and some other interesting properties of these classes are discussed.

In this paper‎, ‎we introduce a new class$T_{k}^{s,a}[A,B,alpha‎ ,‎beta ]$ of analytic functions by using a‎ ‎newly defined convolution operator‎. ‎This class contains many known classes of‎ ‎analytic and univalent functions as special cases‎. ‎We derived some‎ ‎interesting results including inclusion relationships‎, ‎a radius problem and‎ ‎sharp coefficient bound for this class‎.

In this paper, we introduced and investigated starlike and convex functions of order α with respect to 2(j,k)-symmetric conjugate points and coefficient inequality for function belonging to these classes are provided . Also we obtain some convolution condition for functions belonging to this class.

Journal: :IEEE Access 2021

Face perception is an essential and significant problem in pattern recognition, concretely including Recognition (FR), Facial Expression (FER), Race Categorization (RC). Though handcrafted features perform well on face images, Deep Convolutional Neural Networks (DCNNs) have brought new vitality to this field recently. Vanilla DCNNs are powerful at learning high-level semantic features, but weak...

Journal: :CoRR 2017
Sheng R. Li Jongsoo Park Ping Tak Peter Tang

Sparse methods and the use of Winograd convolutions are two orthogonal approaches, each of which significantly accelerates convolution computations in modern CNNs. Sparse Winograd merges these two and thus has the potential to offer a combined performance benefit. Nevertheless, training convolution layers so that the resulting Winograd kernels are sparse has not hitherto been very successful. B...

Journal: :CoRR 2017
Hongdiao Wen

Dermoscopy image detection stays a tough task due to the weak distinguishable property of the object.Although the deep convolution neural network signifigantly boosted the performance on prevelance computer vision tasks in recent years,there remains a room to explore more robust and precise models to the problem of low contrast image segmentation.Towards the challenge of Lesion Segmentation in ...

2018
Sergei A. Abramov Marko Petkovvsek Helena Zakrajvsek

While Liouvillian sequences are closed under many operations, simple examples show that they are not closed under convolution, and the same goes for d’Alembertian sequences. Nevertheless, we show that d’Alembertian sequences are closed under convolution with rationally d’Alembertian sequences, and that Liouvillian sequences are closed under convolution with rationally Liouvillian sequences.

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