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Volume 30 (1994)
- Issue 6 Pages 865-
- Issue 5 Pages 695-
- Issue 4 Pages 533-
- Issue 3 Pages 353-
- Issue 2 Pages 167-
- Issue 1 Pages 1-
Volume 30, Issue 2
Displaying 1-11 of 11 articles from this issue
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Yasunori Okada1994 Volume 30 Issue 2 Pages 167-190
Published: 1994
Released on J-STAGE: January 22, 2009
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Senapathi Eswara Rao1994 Volume 30 Issue 2 Pages 191-201
Published: 1994
Released on J-STAGE: April 24, 2009
JOURNAL FREE ACCESSIn this paper we construct new families of representations for the Lie-algebra of diffeomorphisms of the torus Td and describe its sub representations.View full abstractDownload PDF (871K) -
Jaeyoung Chung, Soon-Yeong Chung, Dohan Kim1994 Volume 30 Issue 2 Pages 203-208
Published: 1994
Released on J-STAGE: January 22, 2009
JOURNAL FREE ACCESSThe space of test functions for Fourier hyperfunctions is characterized by two conditions sup | φ(x) | exp k | x | <∞ and sup | \hat{φ}(ξ) | exp h | ξ | <∞ for some h, k>0. Combining this result and the new characterization of Schwartz space in [1] we can easily compare two important spaces \mathscr{F} and \mathcal{S} which are both invariant under Fourier transformations.View full abstractDownload PDF (464K) -
Yoshihisa Saito1994 Volume 30 Issue 2 Pages 209-232
Published: 1994
Released on J-STAGE: January 22, 2009
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Tamio Hara1994 Volume 30 Issue 2 Pages 233-248
Published: 1994
Released on J-STAGE: January 22, 2009
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Hideharu Watanabe1994 Volume 30 Issue 2 Pages 249-259
Published: 1994
Released on J-STAGE: April 24, 2009
JOURNAL FREE ACCESSA Hilbert space operator T satisfying
either (**) |(Tξ, η)|2{≤}(|T|ξ, ξ) (|T|η, η) for all ξ, η∈\mathcal{H},
or (*) |(Tξ, ξ)|{≤}(|T|ξ, ξ) for all ξ∈\mathcal{H}
is studied. The condition (**) defines a slightly larger class than the hyponormality, and for compact operators (**) is equivalent to the normality. The condition (*) is characterized by using an operator whose numerical radius is less than 1, and among other things we show that (*) and the normality are equivalent for matrices. Moreover, we show that (*) and the normality are equivalent for trace class operators in Appendix.View full abstractDownload PDF (724K) -
Nobuyuki Oda1994 Volume 30 Issue 2 Pages 261-279
Published: 1994
Released on J-STAGE: April 24, 2009
JOURNAL FREE ACCESSLet Γ be a fibrewise co-Hopf space over a topological space B. A ΓB-suspension space ΓBX is a generalization of a fibrewise suspension space ΣBX for any fibrewise pointed space X over B. Making use of ΓB-suspension space, we define ΓB-Hopf construction and prove a ΓB-suspension formula which generalizes the suspension formula of C. S. Hoo. The dual formula is also proved.View full abstractDownload PDF (1477K) -
Nobuyuki Oda1994 Volume 30 Issue 2 Pages 281-295
Published: 1994
Released on J-STAGE: April 24, 2009
JOURNAL FREE ACCESSWe work in the category TopBB of fibrewise pointed topological spaces over B. Let Γ be a co-Hopf space (which need not be co-associative) in TopBB. The ΓB-suspension space ΓBX and the ΓB-loop space ΓB*X of a fibrewise pointed space X over B are defined as generalization of the usual suspension space ΣX and the loop space ΩX respectively, ΓB-suspension spaces and ΓB-loop spaces have some properties similar to those of the usual suspension spaces and loop spaces. This is an example of Eckmann-Hilton duality. In this paper, decomposition theorems of ΓB-suspension space ΓBX and ΓB-loop space ΓB*X are proved. Short exact sequences of homotopy sets involving ΓB-suspension spaces or ΓB-loop spaces are obtained in the category of algebraic loops.View full abstractDownload PDF (1429K) -
Brian Jefferies1994 Volume 30 Issue 2 Pages 297-325
Published: 1994
Released on J-STAGE: April 24, 2009
JOURNAL FREE ACCESSThe dynamical group associated with the Dirac equation with a radially symmetric potential is represented in terms of integrals with respect to the operator valued set functions associated with the Dirac equation in four space-time dimensions.View full abstractDownload PDF (3409K) -
Alan Weinstein1994 Volume 30 Issue 2 Pages 327-333
Published: 1994
Released on J-STAGE: April 24, 2009
JOURNAL FREE ACCESSThe Schwartz kernel of the multiplication operation on a quantum torus is shown to be the distributional boundary value of a classical multivariate theta function. The kernel satisfies a Schrödinger equation in which the role of time is played by the deformation parameter {\hslash} and the role of the hamiltonian by a Poisson structure. At least in some special cases, the kernel can be written as a sum of products of single variable theta functions.View full abstractDownload PDF (701K) -
Vyjayanthi Chari, Alexander Premet1994 Volume 30 Issue 2 Pages 335-352
Published: 1994
Released on J-STAGE: January 22, 2009
JOURNAL FREE ACCESSWe construct and classify all the indecomposable restricted representations of Uq(sl2) when q is a root of unity.View full abstractDownload PDF (1606K)
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