SU\G(𝔸)/K·U

Taku Ishii

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All published works
Action Title Year Authors
+ PDF Chat Whittaker functions on GL(4,R) and archimedean Bump--Friedberg integrals 2024 Miki Hirano
Taku Ishii
Tadashi Miyazaki
+ Calculus of archimedean Rankin–Selberg integrals with recurrence relations 2022 Taku Ishii
Tadashi Miyazaki
+ Archimedean zeta integrals for 𝐺𝐿(3)×𝐺𝐿(2) 2022 Miki Hirano
Taku Ishii
Tadashi Miyazaki
+ PDF Chat Archimedean zeta integrals for $GL(3)\times GL(2)$ 2021 Miki Hirano
Taku Ishii
Tadashi Miyazaki
+ Archimedean zeta integrals for $GL(3)\times GL(2)$ 2021 Miki Hirano
Taku Ishii
Tadashi Miyazaki
+ Calculus of archimedean Rankin--Selberg integrals with recurrence relations 2020 Taku Ishii
Tadashi Miyazaki
+ Whittaker functions for generalized principal series representations of GSp(2,R) 2018 Taku Ishii
+ PDF Chat The computation of multivariate archimedean zeta integrals on ${GL}_2 \times {GSp}_4$ and ${GL}_4$ 2018 Taku Ishii
+ Godement–Jacquet integrals on $$\mathrm{GL}(n,{\mathbf C})$$ GL ( n , C ) 2018 Taku Ishii
+ Archimedean zeta integrals for the exterior square L-functions on GL 2017 Taku Ishii
+ WHITTAKER FUNCTIONS ON Sp(2,R) AND ARCHIMEDEAN ZETA INTEGRALS (Automorphic Forms, Automorphic L-Functions and Related Topics) 2017 Taku Ishii
+ The archimedean zeta integrals for GL(3) × GL(2) 2016 Miki Hirano
Taku Ishii
Tadashi Miyazaki
+ The archimedean zeta integrals for $\mathit{GL}(3)\times \mathit{GL}(2)$ 2016 Miki Hirano
Taku Ishii
Tadashi Miyazaki
+ Godement-Jacquet zeta integrals on GL(2, C) 2014 Taku Ishii
+ 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
+ ARCHIMEDEAN $L$-FACTORS FOR STANDARD $L$-FUNCTIONS ATTACHED TO NON-HOLOMORPHIC SIEGEL MODULAR FORMS OF DEGREE 2 (Automorphic Representations and Related Topics) 2013 Taku Ishii
+ ARCHIMEDEAN L-FACTORS FOR STANDARD L-FUNCTIONS ATTACHED TO NON-HOLOMORPHIC SIEGEL MODULAR FORMS OF DEGREE 2 (保型表現とその周辺 : RIMS研究集会報告集) 2013 Taku Ishii
+ Archimedean zeta integrals on GL n × GL m and SO2n+1 × GL m 2012 Taku Ishii
Eric Stade
+ The archimedean Whittaker functions on GL(3) 2011 Miki Hirano
Taku Ishii
Tadashi Miyazaki
+ Whittaker functions on orthogonal groups of odd degree 2011 Taku Ishii
+ Archimedean zeta integrals on $GL_n \times GL_m$ and $SO_{2n+1} \times GL_m$ 2011 Taku Ishii
Eric Stade
+ Explicit formulas for Whittaker functions on classical groups 2010 Taku Ishii
+ PDF Chat Do differential-outcomes of error responses improve discrimination in matching-to-sample tasks? 2010 Megumi Nagashima
Hiroko KUBOTA
Taku Ishii
Takayuki Sakagami
+ PDF Chat Whittaker Functions on Real Semisimple Lie Groups of Rank Two 2010 Taku Ishii
+ PDF Chat Spinor $L$-functions for generic cusp forms on $GSp(2)$ belonging to principal series representations 2008 Taku Ishii
Tomonori Moriyama
+ Whittaker functions for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mi>P</mml:mi><mml:mi>J</mml:mi></mml:msub></mml:math>-principal series representations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mi mathvariant="italic">Sp</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="bold">R</mml:mi><mml… 2007 Miki Hirano
Taku Ishii
Takayuki Oda
+ New formulas for Whittaker functions on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> 2007 Taku Ishii
Eric Stade
+ Reinforcement omission in concurrent fixed-interval and random-interval schedules 2006 Taku Ishii
Takayuki Sakagami
+ CLASS ONE WHITTAKER FUNCTIONS ON REAL SEMISIMPLE LIE GROUPS(Automorphic representations, L-functions, and periods) 2006 Taku Ishii
+ Confluence from Siegel–Whittaker functions to Whittaker functions on $Sp(2,\mathbb{R})$ 2006 Miki Hirano
Taku Ishii
Takayuki Oda
+ A SHORT HISTORY ON INVESTIGATION OF THE SPECIAL VALUES OF ZETA AND L-FUNCTIONS OF TOTALLY REAL NUMBER FIELDS 2006 Taku Ishii
Takayuki Oda
+ Generalized Whittaker Functions of the Degenerate Principal Series Representations of SL(3, R) 2005 Taku Ishii
Takayuki Oda
+ On 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:math>R) 2005 Taku Ishii
+ PDF Chat A remark on Whittaker functions on SL$(n,{\Bbb R})$ 2005 Taku Ishii
+ PDF Chat Siegel–Whittaker functions on SOo(2, q) for class one principal series representations 2004 Taku Ishii
+ PDF Chat Principal series Whittaker functions on &lt;i&gt;SL&lt;/i&gt; (3, R) 2004 Hiroyuki Manabe
Taku Ishii
Takayuki Oda
+ PRINCIPAL SERIES WHITTAKER FUNCTIONS ON SYMPLECTIC GROUPS (Automorphic forms and representations of algebraic groups over local fields) 2003 Taku Ishii
+ Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields) 2003 Hiroyuki Manabe
Taku Ishii
Takayuki Oda
+ A Note on Class One Whittaker Functions on SOo(2 ,q ) 2003 Taku Ishii
+ Siegel-Whittaker Functions on Sp(2,R) for Principal Series Representations 2002 Taku Ishii
Common Coauthors
Coauthor Papers Together
Tadashi Miyazaki 9
Miki Hirano 8
Takayuki Oda 7
Eric Stade 3
Hiroyuki Manabe 2
Takayuki Sakagami 2
Tomonori Moriyama 1
Megumi Nagashima 1
Miki Hirano 1
Hiroko KUBOTA 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ Mellin transforms of GL ( n , [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]) whittaker functions 2001 Eric Stade
 13
+ Asymptotic expansions of generalized matrix entries of representations of real reductive groups 1983 Nolan R. Wallach
 11
+ On Whittaker vectors and representation theory 1978 Bertram Kostant
 11
+ The Multiplicity One Theorem for GL n 1974 J. A. Shalika
 10
+ PDF Chat Automorphic Forms on GL (2) 1970 H. Jacquet
R. P. Langlands
 9
+ Whittaker functions on semisimple Lie groups 1982 Michihiko Hashizume
 9
+ ArchimedeanL-factors onGL(n) ×GL(n) and generalized Barnes integrals 2002 Eric Stade
 9
+ On 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:math>R) 2005 Taku Ishii
 8
+ New formulas for Whittaker functions on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> 2007 Taku Ishii
Eric Stade
 7
+ On explicit integral formulas for GL(n,ℝ)-Whittaker functions 1990 Eric Stade
 7
+ <i>Generalized Hypergeometric Functions</i> 1967 L. J. Slater
Werner C. Rheinboldt
 6
+ PDF Chat Fonctions de Whittaker associées aux groupes de Chevalley 1967 Hervé Jacquet
 6
+ The Rankin–Selberg Method: A Survey 1989 Daniel Bump
 5
+ PDF Chat Archimedean Rankin-Selberg integrals 2009 Hervé Jacquet
 5
+ PDF Chat Spinor $L$-functions for generic cusp forms on $GSp(2)$ belonging to principal series representations 2008 Taku Ishii
Tomonori Moriyama
 5
+ The Generalized Whittaker Functions for Sp(2, R) and the Gamma Factor of the Andrianov L-function 2000 Takuya Miyazaki
 5
+ Entireness of the Spinor L -functions for certain generic cusp forms on GSp (2) 2004 Tomonori Moriyama
 5
+ L-series of automorphic forms on GL(3,R) 1989 Jeffrey Hoffstein
M. Ram Murty
 4
+ Rankin-Selberg Convolutions 1983 H. Jacquet
I. I. Piatetskii-Shapiro
J. A. Shalika
 4
+ Gelfand-Kirillov dimension for Harish-Chandra modules 1978 David A. Vogan
 4
+ Generalized Hypergeometric Functions 1966 Y. L. L.
L. J. Slater
 4
+ Whittaker vectors and conical vectors 1980 Roe Goodman
Nolan R. Wallach
 4
+ PDF Chat Principal series Whittaker functions on ${\rm Sp}(2;{\bf R})$, II 1998 Takuya Miyazaki
Takayuki Oda
 4
+ PDF Chat Principal series Whittaker functions on &lt;i&gt;SL&lt;/i&gt; (3, R) 2004 Hiroyuki Manabe
Taku Ishii
Takayuki Oda
 4
+ PDF Chat Commutation relations of differential operators and Whittaker functions on ${Sp}_2 \left( \mathbf{R} \right)$ 1995 Shinji Niwa
 4
+ Calculus of 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">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="bold">C</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> 2008 Miki Hirano
Takayuki Oda
 4
+ PDF Chat Automorphic Forms on GL(2) Part II 1972 Hervé Jacquet
 3
+ PDF Chat None 2001 Miki Hirano
 3
+ Andrianov'sL-functions associated to Siegel wave forms of degree two 1995 Akira Hori
 3
+ Generalized Whittaker functions on SU(2,2) with respect to the Siegel parabolic subgroup 2002 Yasuro Gon
 3
+ Mellin transforms of Whittaker functions onGL(4,ℝ) andGL(4,ℂ) 1995 Eric Stade
 3
+ PDF Chat Whittaker Functions on Real Semisimple Lie Groups of Rank Two 2010 Taku Ishii
 3
+ GL(4, ℝ)-Whittaker Functions and 4 F 3 (1) Hypergeometric Series 1993 Eric Stade
 3
+ Barnes' Second Lemma and its Application to Rankin-Selberg Convolutions 1988 Daniel Bump
 3
+ Archimedean zeta integrals on GL n × GL m and SO2n+1 × GL m 2012 Taku Ishii
Eric Stade
 3
+ The Capelli identity, the double commutant theorem, and multiplicity-free actions 1991 Roger Howe
T�ru Umeda
 3
+ PDF Chat Reducibility of generalized principal series representations 1980 Birgit Speh
David A. Vogan
 3
+ PDF Chat Explicit Constructions of Automorphic L-Functions 1987 Stephen Gelbart
Ilya Piatetski-Shapiro
Stephen Rallis
 3
+ Differential equations for principal series whittaker functions on SU(2,2) 1997 Takahiro Hayata
 3
+ Table of Integrals, Series, and Products 1980 3
+ FOURIER–JACOBI TYPE SPHERICAL FUNCTIONS FOR $P_J$ -PRINCIPAL SERIES REPRESENTATIONS OF ${\rm Sp}(2, {\bf R})$ 2002 Miki Hirano
 3
+ PDF Chat An explicit integral representation of Whittaker functions on ${\rm Sp}(2;{\bf R})$ for the large discrete series representations 1994 Takayuki Oda
 3
+ PDF Chat Whittaker vectors and the Goodman-Wallach operators 1988 Hisayosi Matumoto
 3
+ Automorphic forms constructed from Whittaker vectors 1989 Roberto J. Miatello
Nolan R. Wallach
 3
+ PDF Chat Tables of Integral Transforms 2005 Bateman Manuscript
H. Bateman
Arthur Erdélyi
 3
+ Whittaker newforms for archimedean representations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="normal">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> 2007 Alexandru A. Popa
 3
+ A Note on Class One Whittaker Functions on SOo(2 ,q ) 2003 Taku Ishii
 3
+ Representation of Lie Groups and Special Functions 1992 N. Ja. Vilenkin
A. U. Klimyk
 3
+ Poincaré series for GL(3,R)-Whittaker functions 1989 Eric Stade
 3
+ Siegel-Whittaker Functions on Sp(2,R) for Principal Series Representations 2002 Taku Ishii
 3