we show that the category of convergence approach spaces is a simultaneously reective and coreective subcategory of the category of latticevalued limit spaces. further we study the preservation of diagonal conditions, which characterize approach spaces. it is shown that the category of preapproach spaces is a simultaneously reective and coreective subcategory of the category of lattice-valued p...

urbanisation is still one of the social themes in developing countries. in china, the rapid process of urbanisation and economic growth bring to people not only more opportunities for creating new life and pursuing happiness, but also the challenge to face various and complex social, economical and environmental problems. among them some are outstanding, like the shrinking plowland devoured by ...

Acknowledgements First of all I would like to thank my supervisor Professor T. Kimura. He taught me how to learn mathematics from the beginning when I just started afresh my life. About four years ago he suggested to study on archimedean local zeta functions of several variables as my first research task for the Master's thesis. I can not give enough thanks to his heartwarming encouragement all...

for some differential operator P(s, x, Dx) which is a polynomial on s. Professor M.Sato introduced the notions of "a-function", "b-function" and "'c-function" for relative invariants on prehomogeneous vector spaces, when he studied the fourier transforms and ~-functions associated with them (see [10, 12]). He defined, in the same time, b-functions for arbitrary holomorphic functions and conject...

The following are notes on the talks at the Simons Symposium on Families of Automorphic Forms and the Trace Formula, held from January 26 to February 1 in Puerto Rico. All errors should be attributed solely to the typist, Steven J. Miller; these notes were TeX-ed in real time (with no effort made to go back and correct mistakes!).. See https://web.math.princeton.edu/~templier/families/ for more...

Acknowledgements First of all I would like to thank my supervisor Professor T. Kimura. He taught me how to learn mathematics from the beginning when I just started afresh my life. About four years ago he suggested to study on archimedean local zeta functions of several variables as my first research task for the Master's thesis. I can not give enough thanks to his heartwarming encouragement all...