PageHeader : Funkcialaj Ekvacioj, 31 (1988) 25-74 Title : On the Inverse Sturm-Liouville Problem Title : with Spatial Symmetry AuthorInfo : By AuthorInfo : Katsunori IWASAKI AuthorInfo : (University of Tokyo, Japan) section : 1. Introduction section : 2. Statement of the main results section : 3. Deformation formulas and the Gel'fand-Levitan type equation section : 4. Degenerate problem and formula for the difference of two potentials section : 5. Completion of the inverse problem in the degenerate case section : 6. The inverse problem in the general case section : 7. Well-posedess and approximation theorems section : 8. Proof of Theorem 2.3. section : 9. Notes and comments section : Acknowledgements section : References