The Inverse Segal–Bargmann Transform for Compact Lie Groups

On a Hilbert space of analytic functions and an associated integral transform part I

V. Bargmann · Communications on Pure and Applied Mathematics · 1961 · 1.9K citations

Natural Sciences, Electrical Engineering, Representation Theory +7

Tensor algebras over Hilbert spaces. I

I. E. Segal · Transactions of the American Mathematical Society · 1956 · 352 citations · Full text

Natural Sciences, Mathematics, Algebra +10

The Segal-Bargmann "Coherent State" Transform for Compact Lie Groups

Brian C. Hall · Journal of Functional Analysis · 1994 · 332 citations · Full text

Natural Sciences, Architectural Representation, Complex Systems +12

Spherical functions on a real semisimple Lie group. A method of reduction to the complex case

Mogens Flensted-Jensen · Journal of Functional Analysis · 1978 · 116 citations

Natural Sciences, Astronomy, Theoretical Physics +9

Coherent State Transforms for Spaces of Connections

Abhay Ashtekar, Jerzy Lewandowski, Donald Marolf et al. · Journal of Functional Analysis · 1996 · 105 citations · Full text

Natural Sciences, Mathematics, Physics +10