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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 52

#### Publication Date: 1973

Miscellaneous front pages, Nagoya Math. J., Volume 52 (1973)

On stochastic optimal control laws

Makiko Nisio; 1-30

A heterogeneous interpolant

Walter Taylor; 31-33

Über gewisse Riemannsche Mannigfaltigkeiten mit positiver Krümmung

Yôtarô Tsukamoto; 35-38

Multiplicity of some classes of Gaussian processes

Masuyuki Hitsuda; 39-46

Cohomological dimension of group schemes

Hiroshi Umemura; 47-52

Holomorphic extension of continuous, weakly holomorphic functions on certain analytic varieties

Nozomu Mochizuki; 53-59

On some degenerate parabolic equations. II

Tadato Matsuzawa; 61-84

Hironaka's additive group schemes

Hiroyuki Mizutani; 85-95

Some results in the theory of vector bundles

Hiroshi Umemura; 97-128

A problem of complete intersections

Lorenzo Robbiano; 129-132

A class of nonanalytic automorphic functions

Douglas Niebur; 133-145

Quaternary even positive definite quadratic forms of prime discriminant

Yoshiyuki Kitaoka; 147-161

On a $\theta$-Weyl sum

Yoshinobu Nakai; 163-172

Stable vector bundles on algebraic surfaces. II

Fumio Takemoto; 173-195

On the canonical holomorphic map from the moduli space of stable curves to the Igusa monoidal transform

Yukihiko Namikawa; 197-259

Miscellaneous back pages, Nagoya Math. J., Volume 52 (1973)