• 제목/요약/키워드: h-transforms

검색결과 118건 처리시간 0.026초

RELATIONS AMONG THE FIRST VARIATION, THE CONVOLUTIONS AND THE GENERALIZED FOURIER-GAUSS TRANSFORMS

  • Im, Man-Kyu;Ji, Un-Cig;Park, Yoon-Jung
    • 대한수학회보
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    • 제48권2호
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    • pp.291-302
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    • 2011
  • We first study the generalized Fourier-Gauss transforms of functionals defined on the complexification $\cal{B}_C$ of an abstract Wiener space ($\cal{H}$, $\cal{B}$, ${\nu}$). Secondly, we introduce a new class of convolution products of functionals defined on $\cal{B}_C$ and study several properties of the convolutions. Then we study various relations among the first variation the convolutions, and the generalized Fourier-Gauss transforms.

INCLUSION PROPERTIES OF A CLASS OF FUNCTIONS INVOLVING THE DZIOK-SRIVASTAVA OPERATOR

  • Devi, Satwanti;Srivastava, H.M.;Swaminathan, A.
    • Korean Journal of Mathematics
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    • 제24권2호
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    • pp.139-168
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    • 2016
  • In this work, we rst introduce a class of analytic functions involving the Dziok-Srivastava linear operator that generalizes the class of uniformly starlike functions with respect to symmetric points. We then establish the closure of certain well-known integral transforms under this analytic function class. This behaviour leads to various radius results for these integral transforms. Some of the interesting consequences of these results are outlined. Further, the lower bounds for the ratio between the functions f(z) in the class under discussion, their partial sums $f_m(z)$ and the corresponding derivative functions f'(z) and $f^{\prime}_m(z)$ are determined by using the coecient estimates.

Lp FOURIER-FEYNMAN TRANSFORMS AND CONVOLUTION

  • Ahn, Jae Moon
    • Korean Journal of Mathematics
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    • 제7권2호
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    • pp.183-198
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    • 1999
  • Let $\mathcal{F}(B)$ be the Fresnel class on an abstract Wiener space (B, H, ${\omega}$) which consists of functionals F of the form : $$F(x)={\int}_H\;{\exp}\{i(h,x)^{\sim}\}df(h),\;x{\in}B$$ where $({\cdot}{\cdot})^{\sim}$ is a stochastic inner product between H and B, and $f$ is in $\mathcal{M}(H)$, the space of all complex-valued countably additive Borel measures on H. We introduce the concepts of an $L_p$ analytic Fourier-Feynman transform ($1{\leq}p{\leq}2$) and a convolution product on $\mathcal{F}(B)$ and verify the existence of the $L_p$ analytic Fourier-Feynman transforms for functionls in $\mathcal{F}(B)$. Moreover, we verify that the Fresnel class $\mathcal{F}(B)$ is closed under the $L_p$ analytic Fourier-Feynman transform and the convolution product, respectively. And we investigate some interesting properties for the $n$-repeated $L_p$ analytic Fourier-Feynman transform on $\mathcal{F}(B)$. Finally, we show that several results in [9] come from our results in Section 3.

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On Certain Integral Transforms Involving Hypergeometric Functions and Struve Function

  • Singhal, Vijay Kumar;Mukherjee, Rohit
    • Kyungpook Mathematical Journal
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    • 제56권4호
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    • pp.1169-1177
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    • 2016
  • This paper is devoted to the study of Mellin, Laplace, Euler and Whittaker transforms involving Struve function, generalized Wright function and Fox's H-function. The main results are presented in the form of four theorems. On account of the general nature of the functions involved here in, the main results obtained here yield a large number of known and new results in terms of simpler functions as their special cases. For the sake of illustration some corollaries have been recorded here as special cases of our main findings.

IN INTEGRAL TRANSFORM INVOLVING TWO GENERALISED H-FUNCTIONS

  • Sharma, S.D.
    • Kyungpook Mathematical Journal
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    • 제19권1호
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    • pp.119-125
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    • 1979
  • In the present paper we study a new integral transform whose kernel involves the product of two H-functions of two complex variables. Next, we establish an inversion formula for this new transform. On account of very general nature of its kernel, several other integral transforms studies earlier by many research workers viz., Bose (1952), Mukherji (1962), Nigam (1963), Rathie (1965), Singh (1969), Mittal & Goel (1973), and Gupta, Garg & Kalla (1975), follow as its particular cases.

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Lapped Transform을 이용한 영상 보간 기법 (Image Interpolation Technique Using Lapped Transforms)

  • 주승용;이창우
    • 방송공학회논문지
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    • 제17권6호
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    • pp.1110-1113
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    • 2012
  • 영상 신호의 해상도를 증가시키거나 움직임 추정의 정확성을 향상시키기 위하여 다양한 보간 기법이 제안되었는데 H.264/AVC와 HEVC 동영상 부호화 표준 기법에서는 움직임 추정의 정확성을 높이기 위해서 보간 필터를 사용하여 1/2 혹은 1/4 단위의 부화소를 생성한다. 본 논문에서는 1/2과 1/4 단위의 부화소 보간을 위하여 lapped transform을 이용한 효율적인 보간 기법을 제안한다. 제안하는 기법은 영상의 크기 변환과 보간과의 관계를 이용하여 부화소를 효율적으로 보간하는 기법인데 H.264/AVC와 HEVC에서 사용되는 보간 필터와 비교하였을 때 비슷한 성능을 보이면서 계산량을 크게 줄임을 보인다.

A BANACH ALGEBRA AND ITS EQUIVALENT SPACES OVER PATHS WITH A POSITIVE MEASURE

  • Cho, Dong Hyun
    • 대한수학회논문집
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    • 제35권3호
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    • pp.809-823
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    • 2020
  • Let C[0, T] denote the space of continuous, real-valued functions on the interval [0, T] and let C0[0, T] be the space of functions x in C[0, T] with x(0) = 0. In this paper, we introduce a Banach algebra ${\bar{\mathcal{S}}}_{{\alpha},{\beta};{\varphi}}$ on C[0, T] and its equivalent space ${\bar{\mathcal{F}}}({\mathcal{H}}) $, a space of transforms of equivalence classes of measures, which generalizes Fresnel class 𝓕(𝓗), where 𝓗 is an appropriate real separable Hilbert space of functions on [0, T]. We also investigate their properties and derive an isomorphism between ${\bar{\mathcal{S}}}_{{\alpha},{\beta};{\varphi}}$ and ${\bar{\mathcal{F}}}({\mathcal{H}}) $. When C[0, T] is replaced by C0[0, T], ${\bar{\mathcal{F}}}({\mathcal{H}}) $ and ${\bar{\mathcal{S}}}_{{\alpha},{\beta};{\varphi}}$ reduce to 𝓕(𝓗) and Cameron-Storvick's Banach algebra 𝓢, respectively, which is the space of generalized Fourier-Stieltjes transforms of the complex-valued, finite Borel measures on L2[0, T].

Hadamard-Center Line Symmetric Haar에 의한 Image Data 처리에 관한 연구 (Image Data Processing by Hadamard-Center Line Symmetric Hear)

  • 안성렬;소상호;황재정;이문호
    • 한국통신학회:학술대회논문집
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    • 한국통신학회 1984년도 춘계학술발표회논문집
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    • pp.13-17
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    • 1984
  • A hybrid version of the Hadamard and center Line Symmetric Haar Transform called H-CLSH is defined and developed. Efficient algorithms for fast computation of the H-CLSH and its inverse are developed. The H-CLSH is applied to digital signal and image processing and its utility and image processing and its utility and effectiveness are compared with Hadamard-Haar discrete transforms on the basis of some standard performance criteria.

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Output Feedback Stabilization of Non-Minimum Phase Nonlinear Systems

  • Jo, Nam-H.;Son, Young-I.;Shim, Hyung-Bo
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2002년도 ICCAS
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    • pp.60.1-60
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    • 2002
  • . an output feedback stabilizing controller for non-minimum phase nonlinear systems . Assumption 1 : the Jacobi linearization of the given nonlinear linear system is controllable . Assumption 2: an appropriate transformation which transforms the zero dynamics into a special form . Assumption 3: the system satisfies the observability rank condition . Augmentation of systems by augmented by a chain of integrators

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