An explicit integral representation of Whittaker functions on ${\rm Sp}(2;{\bf R})$ for the large discrete series representations

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Integral Representation of Whittaker Functions

Here W is in the Whittaker model W(π, ψ) of a unitary generic representation π of GL(n, F) and W ′ in W(π ′, ψ) where π ′ is a unitary generic representation of GL(n − 1, F) (see below for unexplained notations). One of the difficulties of the theory is that the representations π and π ′ need not be tempered. Thus one is led to consider holomorphic fiber bundles of representations (πu) and (π ′...

متن کامل

CALCULUS OF PRINCIPAL SERIES WHITTAKER FUNCTIONS ON SL(n,R)

We study Whittaker functions for the principal series representation of SL(n,R). We derive a system of partial differential equations characterizing our Whittaker functions. We give explicitly power series solutions at the regular singularity of the system, and integral representations of unique moderate growth Whittaker function. Introduction In this paper we explicitly determine the radial pa...

متن کامل

WHITTAKER FUNCTIONS FOR PJ-PRINCIPAL SERIES REPRESENTATIONS OF Sp(3,R)

In this paper, we give explicit formulas for the secondary and the primary Whittaker functions for PJ -principal series representations of Sp(3,R). 2000 Mathematics Subject Classification: Primary 11F70.

متن کامل

On the Integral Representations of Generalized Relative Type and Generalized Relative Weak Type of Entire Functions

In this paper we wish to establish the integral representations of generalized relative type and generalized relative weak type as introduced by Datta et al [9]. We also investigate their equivalence relation under some certain conditions.

متن کامل

SPINOR L-FUNCTIONS FOR GENERIC CUSP FORMS ON GSp(2) BELONGING TO LARGE DISCRETE SERIES REPRESENTATIONS

Let G = GSp(2) be the symplectic group with similitude of degree two, which is defined over Q. For a generic cusp form F on the adelized group GA which generates a large discrete series representation at infinity, we show that its spinor Lfunction is continued to an entire function and satisfies the functional equation. 0. Introduction. Let G = GSp(2) be the symplectic group with similitude of ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Tohoku Mathematical Journal

سال: 1994

ISSN: 0040-8735

DOI: 10.2748/tmj/1178225761