Projects
Reading
People
Chat
SU\G
(𝔸)
/K·U
Projects
Reading
People
Chat
Sign Up
Light
Dark
System
The Generalized Whittaker Functions for Sp(2, R) and the Gamma Factor of the Andrianov L-function
Takuya Miyazaki
Type:
Article
Publication Date:
2000-01-01
Citations:
25
View Publication
Share
Locations
Journal of mathematical sciences -
View
Similar Works
Action
Title
Year
Authors
+
PDF
Chat
The generalized Whittaker functions for several admissible representations of ${Sp}\left( {2, \mathbf{R}} \right)$
1997
Takuya Miyazaki
+
Whittaker functions for generalized principal series representations of GSp(2,R)
2018
Taku Ishii
+
A Remark on Whittaker Functions on Sp(2, R)
2002
Tomonori Moriyama
+
The generalized Whittaker functions for Sp(2,R) and the gamma factor of the Andrianov L-function
1996
琢也 宮崎
+
TWISTED MELLIN TRANSFORMS OF A REAL ANALYTIC RESIDUE OF SIEGEL–EISENSTEIN SERIES OF DEGREE 2
2009
Yasuko Hasegawa
Takuya Miyazaki
+
PDF
Chat
Bessel functionals and Siegel modular forms
1995
Rainer Schulze‐Pillot
+
PDF
Chat
Degenerate Whittaker functions for $\Sp_n(\R)$
2016
Jan Hendrik Bruinier
Jens Funke
Stephen S. Kudla
+
PDF
Chat
An explicit integral representation of Whittaker functions on ${\rm Sp}(2;{\bf R})$ for the large discrete series representations
1994
Takayuki Oda
+
Siegel-Whittaker Functions on Sp(2,R) for Principal Series Representations
2002
Taku Ishii
+
Principal series and generalized principal series Whittaker functions with peripheral K-types on the real symplectic group of rank 2
2010
Yasuko Hasegawa
+
Principal series and generalized principal series Whittaker functions with peripheral K-types on the real symplectic group of rank 2
2009
泰子 長谷川
+
PDF
Chat
Rankin-Selberg method for Siegel cusp forms
1990
Tadashi Yamazaki
+
PDF
Chat
Archimedean aspects of Siegel modular forms of degree 2
2017
Ralf Schmidt
+
PDF
Chat
Archimedean aspects of Siegel modular forms of degree 2
2017
Ralf Schmidt
+
PDF
Chat
On the Analytic Properties of the Standard $L$-Function Attached to Siegel-Jacobi Modular Forms
2019
Thanasis Bouganis
Jolanta Marzec
+
Derivatives of Siegel modular forms and modular connections
2014
Enlin Yang
Linsheng Yin
+
Introduction to Siegel modular forms and dirichlet series / Anatoli Andrianov
2009
Anatoli Andrianov
+
Calculus of principal series Whittaker functions on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mi mathvariant="italic">SL</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="bold">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>
2013
Taku Ishii
Takayuki Oda
+
Vector valued Siegel's modular forms of degree two and the associated Andrianov L-functions
1983
Tsuneo Arakawa
+
Principal series Whittaker functions on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">Sp</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="bold">C</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>
2011
Tadashi Miyazaki
Works That Cite This (22)
Action
Title
Year
Authors
+
Fourier expansion of Arakawa lifting I: An explicit formula and examples of non-vanishing lifts
2011
Atsushi Murase
Hiro-aki Narita
+
The $(g,K)$-module structures of principal series representations of $Sp(3,R)$
2007
Tadashi Miyazaki
+
PDF
Chat
Régulateurs supérieurs, périodes et valeurs spéciales de la fonction L de degré 4 de GSp(4)
2008
Francesco Lemma
+
PDF
Chat
Matrix Coefficients of the Principal $P_{\mathrm{J}}$-series and the Middle Discrete Series of $SU(2,2)$
2018
Takahiro Hayata
Harutaka Koseki
Takayuki Oda
+
MATRIX COEFFICIENTS OF REPRESENTATIONS OF SU(2,2): THE CASE OF P<sub>J</sub>-PRINCIPAL SERIES
2004
Harutaka Koseki
Takayuki Oda
+
Lie 群上の特殊関数・局所対称空間の幾何・保型的L関数
2003
織田 孝幸
+
PDF
Chat
Spinor $L$-functions for generic cusp forms on $GSp(2)$ belonging to principal series representations
2008
Taku Ishii
Tomonori Moriyama
+
PDF
Chat
The Fourier expansion of modular forms on quaternionic exceptional groups
2020
Aaron Pollack
+
PDF
Chat
ON HIGHER REGULATORS OF SIEGEL VARIETIES
2023
Antonio Cauchi
Francesco Lemma
Joaquín Rodrigues Jacinto
+
Tempered currents and Deligne cohomology of Shimura varieties, with an application to $\mathrm{GSp}_6$
2022
José Ignacio Burgos Gil
Antonio Cauchi
Francesco Lemma
Joaquín Rodrigues Jacinto
Works Cited by This (16)
Action
Title
Year
Authors
+
PDF
Chat
Embeddings of discrete series into induced representations of semisimple Lie groups, II, -Generalized Whittaker models for $SU(2, 2)$-
1991
Hiroshi Yamashita
+
PDF
Chat
Finite multiplicity theorems for induced representations of semisimple Lie groups I
1988
Hiroshi Yamashita
+
Formulas and Theorems for the Special Functions of Mathematical Physics
1966
Wilhelm Magnus
Fritz Oberhettinger
Raj Pal Soni
+
Representation Theory of Semisimple Groups: An Overview Based on Examples
1986
Anthony W. Knapp
+
PDF
Chat
On generalized Whittaker functions on Siegel’s upper half space of degree 2
1991
Shinji Niwa
+
EULER PRODUCTS CORRESPONDING TO SIEGEL MODULAR FORMS OF GENUS 2
1974
Anatoli Andrianov
+
PDF
Chat
Principal series Whittaker functions on ${\rm Sp}(2;{\bf R})$, II
1998
Takuya Miyazaki
Takayuki Oda
+
Andrianov'sL-functions associated to Siegel wave forms of degree two
1995
Akira Hori
+
A Treatise on the Theory of Bessel Functions.
1923
Matthew Porter
G. N. Watson
+
A proof of Blattner's conjecture
1976
Henryk Hecht
Wilfried Schmid