This volume contains translations of papers that originally appeared in the Japanese journal Sūgaku. The papers range over a variety of topics, including differential equations with free boundary, singular integral operators, operator algebras, and relations between the Brownian motion on a manifold with function theory.

The volume is suitable for graduate students and research mathematicians interested in analysis and differential equations.

Readership

Graduate students and research mathematicians interested in analysis and differential equations.

Table of Contents

• G. S. Weiss -- Regularity in free boundary problems
• S. Sakaguchi -- Behavior of spatial critical points and zeros of solutions of diffusion equations
• H. Aikawa -- Martin boundary and boundary Harnack principle for non-smooth domains
• S. Sato -- Singular integrals and Littlewood-Paley functions
• A. Kasue -- Convergence of metric measure spaces and energy forms
• Y. Kawahigashi -- Subfactor theory and its applications: Operator algebras and quantum field theory
• A. Atsuji -- Brownian motion and value distribution theory of holomorphic maps and harmonic maps
• M. Aoshima -- Statistical inference in two-stage sampling