Sommaire du Fascicule no. 4

On the partial recursive functions of ordinal numbers

TUGUE, Tosiyuki

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p. 1-31

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On the Gauss-Hecke sums

SHIRATANI, Katsumi

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p. 32-38

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On the functional inequality $|f(\frac{x+y}{2})|\leqq\frac{|f(x)|+|f(y)|}{2}$

HARUKI, Hiroshi

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p. 39-41

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On some modules in the theory of cyclotomic fields

IWASAWA, Kenkichi

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p. 42-82

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Potential operator of a recurrent strong Feller process in the strict sense and boundary value problem

WATANABE, Hisao

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p. 83-95

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On Pontrjagin classes modulo $q$

TOMONAGA, Yasuro

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p. 96-101

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Differential forms of the first and second kind on modular algebraic varieties

ARIMA, Satoshi

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p. 102-108

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On the sample paths of the symmetric stable processes in spaces

TAKEUCHI, Junji

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p. 109-127

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Some aspects of real-analytic manifolds and differentiable manifolds

SHIGA, Koji

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p. 128-142

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$4$ -connected differentiable $11$ -manifolds with certain homotopy types

MATSUKAWA, Rieko

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p. 143-158

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Domaines pseudoconvexes infinis et la m\'etrique riemannienne dans un espace projectif

Akira TAKEUCHI, Par

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p. 159-181

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On the continuability of holomorphic functions on complex manifolds

FUJIMOTO, Hirotaka ; KASAHARA, Kenkiti

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p. 183-213

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On certain arithmetical Dirichlet series

IHARA, Yasutaka

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p. 214-225

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On $1$ -cohomology groups of infinite dimensional representations of semisimple Lie algebras

HATTORI, Akira

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p. 226-229

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Semi-groups of operators in locally convex spaces

KOMATSU, Hikosaburo

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p. 230-262

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On characteristic roots of group commutators of non-singular matrices

SINHA, Indranand

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p. 263-267

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Le probl\`eme de Cauchy pour les \'equations hyperboliques \`a caract\'eristique multiple

Yujiro OHYA, Par

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p. 268-286

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A variational method for functions with positive real part

SAKAGUCHI, Koichi

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p. 287-297

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On existence of Green function and positive superharmonic functions for linear elliptic operators of second order

ITO, Seizo

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p. 299-306

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Martin boundary for linear elliptic differential operators of second order in a manifold

ITO, Seizo

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p. 307-334

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Between topology for lattices

MATSUSHIMA, Yataro

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p. 335-341

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On meromorphic and circumferentially mean univalent functions

ABE, Hitoshi

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p. 342-351

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The kernel representation of the fractional power of the strongly elliptic operator

SHIMAKURA, Norio

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p. 352-366

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Analytic-hypoelliptic differential operators of first order in two independent variables

SUZUKI, Humio

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p. 367-374

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On some properties of a proximity

HAYASHI, Eiichi

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p. 375-378

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Sur les familles d'ensembles analytiques

Osamu FUJITA, Par

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p. 379-405

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Sufficient conditions for $p$ -valence of regular functions

SONE, Noriyuki

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p. 406-418

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Quelques remarques sur les groupes de Lie alg\'ebriques r\'eels

Hideya MATSUMOTO, Par

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p. 419-446

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