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- Beom Jun Kim, Hiroyuki Ohsumi, +4 authors Taka-hisa Arima
- Science
- 2009

Measurement of the quantum-mechanical phase in quantum matter provides the most direct manifestation of the underlying abstract physics. We used resonant x-ray scattering to probe the relative phasesâ€¦ (More)

We compare the Riemannâ€“Liouville fractional integral (fI) of a function f(z) with the Liouville fI of the same function and show that there are cases in which the asymptotic expansion of the formerâ€¦ (More)

In a series of papers, we discussed the solution of Laplaceâ€™s differential equation (DE) by using fractional calculus, operational calculus in the framework of distribution theory, and Laplaceâ€¦ (More)

We know that the hypergeometric function, which is a solution of the hypergeometric differential equation, is expressed in terms of the Riemann-Liouville fractional derivative (fD). The solution ofâ€¦ (More)

- Tohru Morita, M. Kaneko
- 2008

In the present paper, we study data of sound by harmonic wavelet analysis. The data of sound were taken when a person uttered a short phrase â€˜â€˜Ah Yukida!â€™â€™, that means â€˜â€˜Oh snow!â€™â€™, in Japanese, in aâ€¦ (More)

- Tohru Morita, Ken-ichi Sato
- 2011 International Conference on Multimediaâ€¦
- 2011

In a preceding paper, we study the use of the wavelet expansion in terms of rapidly decaying wavelet, which is Meyer's wavelet, to the problem of mollification in the numerical calculation of theâ€¦ (More)

The mollification obtained by truncating the expansion in wavelets is studied, where the wavelets are so chosen that noise is reduced and the Gibbs phenomenon does not occur. The estimations of theâ€¦ (More)

- Tohru Morita, Hiroshi Ochi
- 1999

We propose a new method of progressive transmission of continuous tone images using multi-level error diffusion method. Assuming that the pixels are ordered and the error is diffused to later pixels,â€¦ (More)

The particular solutions of inhomogeneous differential equations with polynomial coefficients in terms of the Greenâ€™s function are obtained in the framework of distribution theory. In particular,â€¦ (More)

- Tohru Morita, Ken-ichi Sato
- Axioms
- 2015

In 1937, Boas gave a smart proof for an extension of the Bernstein theorem for trigonometric series. It is the purpose of the present note (i) to point out that a formula which Boas used in the proofâ€¦ (More)