@article{oai:soar-ir.repo.nii.ac.jp:00012043, author = {ASADA, Akira and TANABE, Nobuhiko}, issue = {2}, journal = {信州大学理学部紀要}, month = {Mar}, note = {In [2] (∞-p)-form on a k-th Sobolev space Wk(X), X a compact (spin) manifold, was defined by using Sobolev duality. Integrals of (∞-p)-form on an (∞-p)-form on a cube in Wk(X) were defined without using measure. We show when the lenghth of sides of the cube tends to ∞, infinite dimensional Gaussian integral that is principal on application converges if and only if the cube is imbedded in Wk(X), k<-d+1/2., Article, 信州大学理学部紀要 32(2): 61-67(1998)}, pages = {61--67}, title = {A Remark on Infinite Dimensional Gaussian Integral in a Sobolev Space}, volume = {32}, year = {1998} }