Showing papers in "Tokyo Journal of Mathematics in 1981"
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TL;DR: In this paper, the identity operator of the Fourier-integral operators of order $0$ was defined and a coordinate system on a "vicinity" of this identity operator was given.
Abstract: where $\varphi=(\varphi_{1};\varphi_{2})$ is a symplectic transformation of order 1 on $T^{*}N-\{0\}$ . Although our operators such as (1) form much narrower class than what was defined by H\"ormander [3] or Guillemin -Sternberg [2], our expression contains less ambiguities, and hence one can give a sort of coordinate system on a “vicinity” of the identity operator of the Fourier-integral operators of order $0$ (cf. Theorem 5.8 [8]). Moreover, the above expression seems to be convenient for concrete computation of the fundamental solution of the equation
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TL;DR: In this paper, the discriminants of equations up to the ninth degree were calculated by using a computer and the numbers of terms included in the discriminator were 2, 5, 16, 59, 246, 1103, 5247, and 26059 for equations of degree two, three, four, five, six, seven, eight, and nine, respectively.
Abstract: Discriminants of equations up to the ninth degree are calculated by using a computer. The numbers of terms included in the discriminants are 2, 5, 16, 59, 246, 1103, 5247, and 26059 for equations of degree two, three, four, five, six, seven, eight, and nine, respectively. Expressions of discriminants up to the fifth degree are included in this paper.