Results 21 to 30 of about 129,126 (304)

On a New Subclass of Univalent Harmonic Functions That Defined by Integral Operator

Journal of Kufa for Mathematics and Computer, 2017
In this paper, we investigate several properties of the harmonic class ( ) we discuss the coefficient inequality, the distortion bounds theorem, the closure theorem, convex combinations, Bernardi integral operator and integral convolution property.
Waggas Galib Atshan, Fatimah Hayder Hasan   +1 more
doaj   +1 more source

Vanishing Theorems for constructible Sheaves on Abelian Varieties [PDF]

, 2015
We show that the hypercohomology of most character twists of perverse sheaves on a complex abelian variety vanishes in all non-zero degrees. As a consequence we obtain a vanishing theorem for constructible sheaves and a relative vanishing theorem for a ...
Krämer, Thomas, Weissauer, Rainer
core   +1 more source

The Solvability of a Class of Convolution Equations Associated with 2D FRFT

Mathematics, 2020
In this paper, the solvability of a class of convolution equations is discussed by using two-dimensional (2D) fractional Fourier transform (FRFT) in polar coordinates. Firstly, we generalize the 2D FRFT to the polar coordinates setting.
Zhen-Wei Li, Wen-Biao Gao, Bing-Zhao Li
doaj   +1 more source

Banach algebras of pseudodifferential operators and their almost diagonalization [PDF]

, 2007
We define new symbol classes for pseudodifferntial operators and investigate their pseudodifferential calculus. The symbol classes are parametrized by commutative convolution algebras.
Gröchenig, Karlheinz, Rzeszotnik, Ziemowit   +1 more
core   +3 more sources

Relationships between Convolution and Correlation for Fourier Transform and Quaternion Fourier Transform [PDF]

, 2013
In this paper we introduce convolution theorem for the Fourier transform (FT) of \ud two complex functions. We show that the correlation theorem for the FT can be \ud derived using properties of convolution.
Bahri, Mawardi
core   +1 more source

Hardy-Sobolev Spaces Associated with Twisted Convolution

Journal of Function Spaces, 2017
We first define the Hardy-Sobolev spaces associated with twisted convolution; then we give the atomic decomposition. As an application, we consider the endpoint version of the div-curl theorem for the twisted convolution.
Jizheng Huang, Weiwei Li, Yaqiong Wang
doaj   +1 more source

Skew convolution semigroups and affine Markov processes [PDF]

, 2006
A general affine Markov semigroup is formulated as the convolution of a homogeneous one with a skew convolution semigroup. We provide some sufficient conditions for the regularities of the homogeneous affine semigroup and the skew convolution semigroup ...
Dawson, D. A., Li, Zenghu
core   +6 more sources

Harmonic analysis on Heisenberg--Clifford Lie supergroups

, 2011
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
Alldridge, Alexander, Hilgert, Joachim, Laubinger, Martin   +2 more
core   +1 more source

Discrete Octonion Linear Canonical Transform: Definition and Properties

Fractal and Fractional
In this paper, the discrete octonion linear canonical transform (DOCLCT) is defined. According to the definition of the DOCLCT, some properties associated with the DOCLCT are explored, such as linearity, scaling, boundedness, Plancherel theorem ...
Wen-Biao Gao
doaj   +1 more source

Multiple solutions for a quasilinear Choquard equation with critical nonlinearity

Open Mathematics, 2021
In the present work, we are concerned with the multiple solutions for quasilinear Choquard equation with critical nonlinearity in RN{{\mathbb{R}}}^{N}.
Li Rui, Song Yueqiang
doaj   +1 more source