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940411s1993 riua b 001 0 eng |
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|a (ICU)BID18488861
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|a (OCoLC)28379234
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|a eng
|h jpn
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|a QA324
|b .M6713 1993
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| 082 |
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|a 515/.9
|2 20
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|a Morimoto, Mitsuo,
|d 1942-
|0 http://id.loc.gov/authorities/names/n81141537
|1 http://viaf.org/viaf/108507870
|
| 240 |
1 |
0 |
|a Satō chōkansū nyūmon.
|l English
|
| 245 |
1 |
3 |
|a An introduction to Sato's hyperfunctions /
|c Mitsuo Morimoto ; translated by Mitsuo Morimoto = [Satō chōkansū nyūmon / Morimoto Mitsuo].
|
| 260 |
|
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|a Providence, R.I. :
|b American Mathematical Society,
|c c1993.
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| 300 |
|
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|a xii, 273 p. :
|b ill. ;
|c 27 cm.
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| 336 |
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|a text
|b txt
|2 rdacontent
|0 http://id.loc.gov/vocabulary/contentTypes/txt
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| 337 |
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|a unmediated
|b n
|2 rdamedia
|0 http://id.loc.gov/vocabulary/mediaTypes/n
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| 338 |
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|a volume
|b nc
|2 rdacarrier
|0 http://id.loc.gov/vocabulary/carriers/nc
|
| 440 |
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0 |
|a Translations of mathematical monographs
|v v. 129
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| 504 |
|
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|a Includes bibliographical references (p. 265-267) and index.
|
| 505 |
2 |
0 |
|g Ch. 1.
|t Fundamental Properties of Holomorphic Functions.
|g 1.
|t Continuous functions, measures, and distributions.
|g 2.
|t Holomorphic functions.
|g 3.
|t Power series and Reinhardt domains.
|g 4.
|t Linear topological spaces of holomorphic functions.
|g 5.
|t Germs of holomorphic functions.
|g 6.
|t Runge open sets.
|g 7.
|t The Fourier-Borel transformation.
|g 8.
|t Entire functions of exponential type --
|g Ch. 2.
|t Analytic Functionals of One Variable.
|g 1.
|t The Cauchy-Hilbert transformation.
|g 2.
|t The Runge theorems.
|g 3.
|t The Mittag-Leffler theorem.
|g 4.
|t A representation of analytic functionals.
|g 5.
|t The Fourier-Laplace transform of an entire function of exponential type.
|g 6.
|t Convolution --
|g Ch. 3.
|t Hyperfunctions of One Variable.
|g 1.
|t Definition of hyperfunctions.
|g 2.
|t Locality of hyperfunctions.
|g 3.
|t Various operations.
|g 4.
|t [delta]-function and Y-function.
|g 5.
|t Power functions.
|g 6.
|t Singular spectrum.
|g 7.
|t Relation with local analytic functionals.
|g 8.
|t Ordinary differential equations.
|g 9.
|t Distributions and hyperfunctions --
|g Ch. 4.
|t Cohomology Groups with Coefficients in a Sheaf.
|g 1.
|t Sheaf.
|g 2.
|t Presheaf.
|g 3.
|t Cohomology groups with coefficients in a sheaf.
|g 4.
|t Relative cohomology groups.
|g 5.
|t The cohomology group of a covering.
|g 6.
|t The theory of sheaves over paracompact spaces.
|g 7.
|t The derived sheaf of relative cohomology groups.
|g 8.
|t Pure codimensionality and the flabby dimension of a sheaf.
|g 9.
|t Theorems on pure codimensionality --
|g Ch. 5.
|t Cohomology Groups with Coefficients in [actual symbol not reproducible].
|g 1.
|t Domain of holomorphy (review).
|g 2.
|t A method of calculation of relative cohomology groups with coefficients in [actual symbol not reproducible].
|g 3.
|t Vanishing of relative cohomology groups --
|g Ch. 6.
|t Analytic Functionals of Several Variables.
|g 1.
|t Integral representation of holomorphic functions.
|g 2.
|t Linearly convex compact sets.
|g 3.
|t Dual space of [actual symbol not reproducible].
|g 4.
|t The Laplace-Martineau transform of entire functions of exponential type.
|g 5.
|t The Martineau-Harvey duality theorem --
|g Ch. 7.
|t Hyperfunctions of Several Variables.
|g 1.
|t Definition of hyperfunctions and their fundamental properties.
|g 2.
|t Hyperfunctions as a class of holomorphic functions.
|g 3.
|t Hyperfunctions with compact support.
|g 4.
|t The boundary value of a holomorphic function.
|g 5.
|t Injectivity of the boundary value operator b[subscript [Gamma]] --
|g Ch. 8.
|t Microfunctions.
|g 1.
|t The decomposition of singularities of hyperfunctions of one variable.
|g 2.
|t Conormal sphere bundle.
|g 3.
|t Vanishing of the relative cohomology group.
|g 4.
|t The Mayer-Vietoris theorem.
|g 5.
|t Definition of microfunction.
|g 6.
|t Relation of hyperfunctions and microfunctions.
|g 7.
|t Microfunctions and the analyticity of hyperfunctions --
|g Ch. 9.
|t Development of Hyperfunction Theory.
|g 1.
|t Hyperfunctions on a real analytic manifold.
|g 2.
|t Edge-of-the-Wedge theorem.
|g 3.
|t Micro-analyticity of hyperfunctions.
|g 4.
|t Operations on hyperfunctions.
|g 5.
|t Sato's fundamental theorem.
|g 6.
|t Lorentz invariant hyperfunctions.
|t Appendix A. Linear Topological Spaces.
|g 1.
|t Linear topological spaces.
|g 2.
|t Limit of linear spaces.
|g 3.
|t Limit of linear topological spaces.
|g 4.
|t FS spaces.
|g 5.
|t DFS spaces.
|g 6.
|t Duality of FS spaces and DFS spaces.
|t Appendix B. Rudiments of Homological Algebra.
|g 1.
|t Exact sequences.
|g 2.
|t Cohomology group of a complex.
|t Measure theory and function theory.
|t Distribution theory and functional analysis.
|t Early papers on hyperfunctions.
|t Sheaf theory and homological algebra.
|t Analytic functionals.
|t Microfunctions.
|t Theoretical physics and the Edge-of-the-Wedge theorem.
|t More recent literature.
|
| 650 |
|
0 |
|a Hyperfunctions
|0 http://id.loc.gov/authorities/subjects/sh85063692
|
| 650 |
|
7 |
|a Hyperfunctions.
|2 fast
|0 http://id.worldcat.org/fast/fst00965753
|
| 740 |
0 |
1 |
|a Sato's hyperfunctions.
|
| 740 |
0 |
1 |
|a Satō chōkansū nyūmon.
|
| 850 |
|
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|a ICU
|
| 901 |
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|a ToCBNA
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| 903 |
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|a HeVa
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| 929 |
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|a cat
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| 999 |
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| 928 |
|
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|t Library of Congress classification
|a QA324.M67130 1993
|l ASR
|c ASR-SciASR
|i 2395598
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| 927 |
|
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|t Library of Congress classification
|a QA324.M67130 1993
|l ASR
|c ASR-SciASR
|e CRERAR
|b 39628603
|i 3037838
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