• Kyungpook Mathematical Journal
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• 제49권1호
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• pp.155-166
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• 2009

We give a necessary and sufficient condition that a square integrable functional F(x) on Yeh-Wiener space has an integral transform $\hat{F}_{{\alpha},{\beta}}F(x)$ which is also square integrable. This extends the result by Kim and Skoug for functional F(x) in $L_2(C_0[0,T])$.

• 대한전기학회논문지
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• 제33권5호
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• pp.188-192
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• 1984

A method of frequency multipling of square waveforms is described and an integrable frequency multiplier which is fully compatible with IC technology, and made use of only bipolar transistors and resistors is proposed. The circuit is composed of only integrable time delay circuits and exclusive OR gates. Hence the circuit shows some useful characteristics.

• 대한수학회보
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• 제46권5호
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• pp.835-844
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• 2009

The ridgelet transform is extended to the space of square integrable Boehmians. It is proved that the extended ridgelet transform $\mathfrak{R}$ is consistent with the classical ridgelet transform R, linear, one-to-one, onto and both $\mathfrak{R}$, $\mathfrak{R}^{-1}$.1 are continuous with respect to $\delta$-convergence as well as $\Delta$-convergence.

• Korean Journal of Mathematics
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• 제29권3호
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• pp.639-647
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• 2021

In this paper, we consider the integral of a stochastic process with respect of a sequence of square integrable semimartingales. By this integrals, we construct a reproducing kernel Hilbert space and study the correspondence between this space with the concepts of arbitrage and viability in mathematical finance.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1999년도 제14차 학술회의논문집
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• pp.256-258
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• 1999

In this article, an integrable circuit technique for implementing square root extractor for analog signal processing is described. The realization method makes use of the characteristic of MOS translinear principle. The proposed scheme achieves a wide dynamic range, wide-band capability and high accuracy. Simulation results demonstrating the performance of the proposed scheme are also presented.

• 대한수학회지
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• 제40권4호
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• pp.747-756
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• 2003

We establish a vanishing theorem on the square-integrable cohomology associated to the Cauchy-Riemann complex on some complete Kaehler manifolds. The hypothesis needed for this result is a growth condition on a primitive of the Kaehler form.

• 대한수학회논문집
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• 제34권4호
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• pp.1135-1143
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• 2019

The matrix representation of the Toeplitz operator on the Hardy space with respect to a generalized orthonormal basis for the space of square integrable functions associated to a bounded simply connected region in the complex plane is completely computed in terms of only the Szegő kernel and the Garabedian kernels.

• 대한수학회보
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• 제54권4호
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• pp.1421-1441
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• 2017

We compute explicitly the matrix represented by the Toeplitz operator on the Hardy space over a smoothly finitely connected bounded domain in the plane with respect to special orthonormal bases consisting of the classical kernel functions for the space of square integrable functions and for the Hardy space. The Fourier coefficients of the symbol of the Toeplitz operator are obtained from zeroth row vectors and zeroth column vectors of the matrix. And we also find some condition for the product of two Toeplitz operators to be a Toeplitz operator in terms of matrices.

• Journal of applied mathematics & informatics
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• 제16권1_2호
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• pp.621-632
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• 2004

Multiresoluton analysis(MRA) of space of square integrable functions defined on whole entire line has been well-known. But for many applications, MRA on bounded interval was required and studied. In this paper we give a MRA for $L^2$(0, 1) by means of periodic wavelets based on regular MRA for $L^2$(R) and give the convergence of partial sums.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제12권4호
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• pp.237-251
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• 2005

In this paper, a new wavelet analysis of differential operator spline is generated, and it is of the symmetry and (3 -$\epsilon$ )-order regula.ity (0 < $\epsilon$ < 3). Finally, using this wavelet basis, we expand Lebesgue square integrable functions efficiently and quickly.