6,518 research outputs found
Evaluating Jacquet's GL(n) Whittaker function
No full textAlgorithms for the explicit symbolic and numeric evaluation of Jacquet's Whittaker function for the GL(n,R)based generalized upper half-plane for n≥2, and an implementation for symbolic evaluation in the Mathematica package GL(n)pack, are described. This requires a comparison of the different definitions of Whittaker function which have appeared in the literature
J. Bell, S. Boyron, S. Whittaker, Principles of French Law
No full textJ. Bell, S. Boyron, S. Whittaker, Principles of French Law. In: Revue internationale de droit comparé. Vol. 51 N°4, Octobre-décembre 1999. pp. 1153-1154
J. Bell, S. Boyron, S. Whittaker, Principles of French Law
No full textJ. Bell, S. Boyron, S. Whittaker, Principles of French Law. In: Revue internationale de droit comparé. Vol. 51 N°4, Octobre-décembre 1999. pp. 1153-1154
Use of spontaneous behaviour measures to assess pain in laboratory rats and mice: how are we progressing?
No full textNo abstract availableAlexandra L. Whittaker, Gordon S. Howart
Whittaker, James Robert, NX72770
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/425553Surname: WHITTAKER. Given Name(s) or Initials: JAMES ROBERT. Military Service Number or Last Known Location: NX72770. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 32225.251613
Item: [2016.0049.57814] "Whittaker, James Robert, NX72770
T. Whittaker: A Compendious Classification of the Sciences. Mind, N. S. 12 (45), 21-34. 1903
No full textT. WHITTAKER: A COMPENDIOUS CLASSIFICATION OF THE SCIENCES. MIND, N. S. 12 (45), 21-34. 1903
Zeitschrift für Psychologie und Physiologie der Sinnesorgane (-)
Zeitschrift für Psychologie und Physiologie der Sinnesorgane (33) (a0001)
T. Whittaker: A Compendious Classification of the Sciences. Mind, N. S. 12 (45), 21-34. 1903 (33) (p0307
Whittaker, I K, VX24
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/425554Surname: WHITTAKER. Given Name(s) or Initials: I K. Military Service Number or Last Known Location: VX24. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 9012.251615
Item: [2016.0049.57815] "Whittaker, I K, VX24
Whittaker, R H, 417984
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/425550Surname: WHITTAKER. Given Name(s) or Initials: R H. Military Service Number or Last Known Location: 417984. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 53862.251607
Item: [2016.0049.57811] "Whittaker, R H, 417984
Canonical extension of Whittaker distributions for GL(n,R)
No full textThe “multiplicity one theorem” asserts that the space of Whittaker functionals on irreducible representations of GL(r, R) is at most one-dimensional. This was originally proven by Piatetski-Shapiro [10] and Shalika [11]. In [4], Kostant showed that the dimension of the space of Whittaker functionals for any principal series representation of a quasisplit linear Lie group is exactly one. We give a new proof of the existence of Whittaker functionals on the principal series representations of GL(n, R) by an explicit construction using the integration pairing of Whittaker distributions against smooth functions in the principal series representations. This pairing gives the Jacquet integral. We derive formulas for a change of variables in the integral, that enable us to compute the Jacquet integral directly by means of integration by parts and thereby prove its analytic continuation. This legitimizes the pairing of Whittaker distributions and smooth functions, hence proving the existence of Whittaker functionals.Ph.D.Includes bibliographical reference
Whittaker modules for the Schrodinger-Witt algebra
No full textNational Natural Science Foundation of China [10931006]In this paper, Whittaker modules for the Schrodinger-Witt algebra so) are defined. The Whittaker vectors and the irreducibility of the Whittaker modules are studied. so has a triangular decomposition according to its Cartan subalgebra h: so=so(-) circle plus h circle plus so(+). For any Lie algebra homomorphism psi:so(+) -> C, we can define Whittaker modules of type psi When psi is nonsingular, the Whittaker vectors, the irreducibility, and the classification of Whittaker modules are completely determined. When psi is singular, by constructing some special Whittaker vectors, we find that the Whittaker modules are all reducible. Moreover, we get some more precise results for special (c) 2010 American Institute of Physics. [doi:10.1063/1.3474916
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