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planch

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Definitions of planch in various dictionaries:

noun - a plank

PLANCH - In mathematics, the Plancherel theorem for spherical functions is an important result in the representation theory of semisimple Lie groups, due in i...

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Possible Dictionary Clues
To make or cover with planks or boards.
A plank or board of wood (hence) a floor. Now English regional (south-western).
A slab, a flat plate (Enamelling) a clay tile used to support the piece of work during the process of baking. Now rare.
To floor using planks to cover with planks or boards. Now British regional and Canadian.

Planch might refer to
In mathematics, the Plancherel theorem for spherical functions is an important result in the representation theory of semisimple Lie groups, due in its final form to Harish-Chandra. It is a natural generalisation in non-commutative harmonic analysis of the Plancherel formula and Fourier inversion formula in the representation theory of the group of real numbers in classical harmonic analysis and has a similarly close interconnection with the theory of differential equations. * It is the special case for zonal spherical functions of the general Plancherel theorem for semisimple Lie groups, also proved by Harish-Chandra. The Plancherel theorem gives the eigenfunction expansion of radial functions for the Laplacian operator on the associated symmetric space X; it also gives the direct integral decomposition into irreducible representations of the regular representation on L2(X). In the case of * hyperbolic space, these expansions were known from prior results of Mehler, Weyl and Fock. * The main reference for almost all this material is the encyclopedic text of Helgason (1984).

Planch might refer to

In mathematics, the Plancherel theorem for spherical functions is an important result in the representation theory of semisimple Lie groups, due in its final form to Harish-Chandra. It is a natural generalisation in non-commutative harmonic analysis of the Plancherel formula and Fourier inversion formula in the representation theory of the group of real numbers in classical harmonic analysis and has a similarly close interconnection with the theory of differential equations.
* It is the special case for zonal spherical functions of the general Plancherel theorem for semisimple Lie groups, also proved by Harish-Chandra. The Plancherel theorem gives the eigenfunction expansion of radial functions for the Laplacian operator on the associated symmetric space X; it also gives the direct integral decomposition into irreducible representations of the regular representation on L2(X). In the case of
* hyperbolic space, these expansions were known from prior results of Mehler, Weyl and Fock.
* The main reference for almost all this material is the encyclopedic text of Helgason (1984).

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