Volume 93, Issue 1, January 1971

On a conjecture of Langlands

Pages 1-42 by Wilfried Schmid

Minimal immersions of spheres into spheres

Pages 43-62 by Manfredo P. Do Carmo, Nolan R. Wallach

Deformations of spaces of imbeddings

Pages 63-88 by Robert D. Edwards, Robion C. Kirby

On Fraïsse’s order type conjecture

Pages 89-111 by Richard Laver

Positivity and the convolution structure for Jacobi series

Pages 112-118 by George Gasper

The index of elliptic operators. IV

Pages 119-138 by Michael F. Atiyah, Isadore M. Singer

The index of elliptic operators. V

Pages 139-149 by Michael F. Atiyah, Isadore M. Singer

On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups

Pages 150-165 by Ramesh Gangolli

A Hartogs type extension theorem for coherent analytic sheaves

Pages 166-188 by Yum-Tong Siu

Analytic isometric embeddings

Pages 189-204 by Robert E. Greene, Howard Jacobowitz