Three dimensional C-, S- and E-transforms

Humphreys J.E., Introduction to Lie algebras and representation theory, New York, Springer, 1972

1972

Earlier work this paper cites.

Moody R.V. and Patera J., Computation of character decompositions of class functions on compact semisimple Lie groups Mathematics of Computation

1987

Earlier work this paper cites.

Vinberg É.B., Onishchik A.L., Lie groups and Lie algebras-2 VINITI, 1988 (in russian)

1988

Earlier work this paper cites.

Bourbaki N., Lie groups and Lie algebras. Chapters 1–3 Springer-Verlag, Berlin-New York, 1989

1989

Earlier work this paper cites.

Kass S., Moody R.V., Patera J., Slansky R., Affine Lie algebras, weight multiplicities, and branching rules, Vol.1 and Vol.2 Los Alamos Series in Basic and Applied Sciences, University of California Press, Berkeley, CA, 1990

1990

Earlier work this paper cites.

Wang Z., Interpolation using type I discrete cosine transform Electronic Lett

Original

1990

Earlier work this paper cites.

Agbinya J.I., Two dimensional interpolation of real sequences using the DCT Electronic Lett

1993

Cited alongside, same era.

Macdonald I.G., Symmetric functions and Hull polynomials, Oxford University Press, 1995

1995

Cited alongside, same era.

Moody R.V. and Patera J., Voronoi domains and dual cells in the generalized kaleidoscope with applications to root and weight lattices (dedicated to H. S. M. Coxeter), Can. J. Math

1995

Cited alongside, same era.

Grimm S. and Patera J., Decomposition of tensor products of the fundamental representations of E 8 E_{8} in Advances in Mathematical Sciences – CRM’s 25 Years

1997

Cited alongside, same era.

Germain M. and Patera J., Cosine Transform Generalized to Lie Groups S ​ U ​ ( 2 ) × S ​ U ​ ( 2 ) SU(2)\times SU(2) and O ⁡ ( 5 ) O(5) : Application to Textural Image Analysis IEEE CCECE

2006

Kashuba I. and Patera J., Discrete and continuous exponential transforms of simple Lie groups of rank two J. Phys. A: Math. Theor

2007

Later among the works it cites.

Klimyk A. and Patera J., (Anti)symmetric multidimensional trigonometric functions and the corresponding Fourier transforms J. Math. Phys

Original

2007

Later among the works it cites.

Klimyk A. and Patera J., (Anti)symmetric multidimensional exponential functions and the corresponding Fourier transforms J. Phys. A: Math. Theor

Original

2007

Later among the works it cites.

Klimyk A. and Patera J., Alternating multivariate trigonometric functions and corresponding Fourier transfdorms, J. Phys. A: Math. Theor

2008

Closest in time.

Klimyk A U and Patera J Alternating group and multivariate exponential functions, in: ”Groups and Symmetries; from the Neolithic Scots to John McKay”, AMS-CRM Proceedings and Lectures Notes Series (eds. J. Harnad and P. Winternitz), to appear (2008)