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The Nagoya Mathematical Journal is published quarterly with the cooperation of Nagoya University. Since its inception in 1950, the Nagoya Mathematical Journal has endeavored to publish research papers of the highest quality with appeal to the general mathematical audience.

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### Volume 59

#### Publication Date: 1975

Miscellaneous front pages, Nagoya Math. J., Volume 59 (1975)

Square of Brownian motion

Hisao Nomoto; 1-8

On symmetric Siegel domains

Masaru Takeuchi; 9-44

The value distribution of harmonic mappings between Riemannian $N$-spaces

Hideo Imai; 45-58

On the Hopf fibration $S^{7}\rightarrow S^{4}$ over $Z$

Takeshi Ôno; 59-64

Gaussian random fields with projective invariance

Akio Noda; 65-76

Sur quelques combinaisons linéaires exceptionnelles au sens de Nevanlinna. IV

Nobushige Toda; 77-86

On a hypoelliptic boundary value problem

A relation between order and defects of meromorphic mappings of $C^{n}$ into $P^N(C)$

Junjiro Noguchi; 97-106

Stable vector bundles with numerically trivial Chern classes over a hyperelliptic surface

Hiroshi Umemura; 107-134

Ample vector bundles on a rational surface

Toshio Hosoh; 135-148

P. Jothilingam; 149-152

An equality of distributions associated to families of theta series

Stephen J. Haris; 153-168

On a function analogous to ${\rm log}\eta (\tau)$

Larry Goldstein and Pilar de la Torre; 169-198

Potential theoretic properties of the gradient of a convex function on a functional space

Nobuyuki Kenmochi and Yoshihiro Mizuta; 199-215

Correction and comment concerning "On derivations and holomorphs of nilpotent Lie algebras''

G. Leger and E. Luks; 217-218

Miscellaneous back pages, Nagoya Math. J., Volume 59 (1975)