Proceedings of the Second ISAAC Congress

1. Front Matter

   Pages i-xxxi

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2. A Central Limit Theorem for the Simple Random Walk on a Crystal Lattice

   • Motoko Kotani, Toshikazu Sunada

   Pages 1-6

3. Level Statistics for Quantum Hamiltonians

   • Nariyuki Minami

   Pages 7-14

4. Fermion Process and Fredholm Determinant

   • Tomoyuki Shirai, Yoichiro Takahashi

   Pages 15-23

5. Strong Type Estimation from Weak Type Estimates for Some Integral Operators

   • Nobuhiko Fujii

   Pages 25-30

6. Conjugate Fourier Series and Integrals of Several Variables in the L-1 Sense

   • Zhong Kai Li

   Pages 31-39

7. Admissible Wavelets and Siegel Domains

   • Heping Liu

   Pages 41-49

8. Some Results on a Class of Oscillatory Integrals

   • Shanzhen Lu

   Pages 51-57

9. Weighted Hardy Spaces on a Domain

   • Akihiko Miyachi

   Pages 59-64

10. Commutators of Singular Integral Operators on Morrey Spaces with Some Growth Functions

    • Takahiro Mizuhara

    Pages 65-73

11. On Generalized Fractional Integrals in the Orlicz Spaces

    • Eiichi Nakai

    Pages 75-81

12. Weak (1,1) Estimates for Littlewood-Paley Functions with Rough Kernels

    • Shuichi Sato

    Pages 83-87

13. A Note on Average Densities of Brownian Intersection Measures

    • Narn-Rueih Shieh

    Pages 89-95

14. Problem of Integral Geometry on Paraboloids with Perturbation

    • Akbar H. Begmatov

    Pages 97-103

15. The Connection between Discrete and Continuous Realisations of Least Squares Method

    • Y. V. Chebrakov, V. V. Shmagin

    Pages 105-112

16. An Eigenvalue Problem for Analytic Functions

    • Dao Qing Dai, Ming Sheng Liu

    Pages 113-118

17. On Quadrature Formulae of Hypersingular Integrals

    • Jin Yuan Du, Ji Cheng Hu

    Pages 119-127

18. Theoretical and Numerical Analysis of Inversion of Satellite Remote Sensing

    • S.-X. Huang, Jun Li

    Pages 129-136

19. Optimization of Vector-Valued Integral Equations for a Class

    • Chuan Gan Hu, Li Xin Ma

    Pages 137-143

20. Nonlinear Riemann-Hilbert Problems of First Order Quasilinear Elliptic System

    • Ming Zhong Li

    Pages 145-151

This book is the Proceedings of the Second ISAAC Congress. ISAAC is the acronym of the International Society for Analysis, its Applications and Computation. The president of ISAAC is Professor Robert P. Gilbert, the second named editor of this book, e-mail: gilbert@math.udel.edu. The Congress is world-wide valued so highly that an application for a grant has been selected and this project has been executed with Grant No. 11-56 from *the Commemorative Association for the Japan World Exposition (1970). The finance of the publication of this book is exclusively the said Grant No. 11-56 from *. Thus, a pair of each one copy of two volumes of this book will be sent to all contributors, who registered at the Second ISAAC Congress in Fukuoka, free of charge by the Kluwer Academic Publishers. Analysis is understood here in the broad sense of the word, includ­ ing differential equations, integral equations, functional analysis, and function theory. It is the purpose of ISAAC to promote analysis, its applications, and its interaction with computation. With this objective, ISAAC organizes international Congresses for the presentation and dis­ cussion of research on analysis. ISAAC welcomes new members and those interested in joining ISAAC are encouraged to look at the web­ site http://www .math. udel.edu/ gilbert/isaac/index.html vi and http://www.math.fu-berlin.de/ rd/ ag/isaac/newton/index.html.

• analytic function
• Boundary value problem
• differential equation
• functional
• functional analysis
• functional equation
• Integral
• Integral equation
• Nevanlinna theory
• perturbation
• wavelet
• partial differential equations

• Freie Universität, Berlin, Germany

  Heinrich G. W. Begehr

• University of Delaware, Newark, USA

  Robert P. Gilbert

• Kyushu University, Fukuoka, Japan

  Joji Kajiwara

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