Harmonic analysis arising from infinite dimensional rotation group

The following sections are included:

• Introduction

• Infinite dimensional rotation group O(E)

• Harmonic analysis

• Addenda to the diagram

• The Lévy group, the Windmill subgroup and the sign-changing subgroup of O(E)

• Classification of rotations in O(E)

• Unitary representation of the infinite dimensional rotation group O(E)

• Laplacians