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Indian Journal of Pure and Applied Mathematics : Volume 48

Indian Journal of Pure and Applied Mathematics : Volume 47

Indian Journal of Pure and Applied Mathematics : Volume 46

Indian Journal of Pure and Applied Mathematics : Volume 46, Issue 6, December 2015

Indian Journal of Pure and Applied Mathematics : Volume 46, Issue 5, October 2015

Indian Journal of Pure and Applied Mathematics : Volume 46, Issue 4, August 2015

Indian Journal of Pure and Applied Mathematics : Volume 46, Issue 3, June 2015

Indian Journal of Pure and Applied Mathematics : Volume 46, Issue 2, April 2015

An L $^{ p }$ - L $^{ q }$ version of Miyachi’s theorem for the Riemann-Liouville operator

A note on the loglog law for diffusion in random environment

Weighted Caffarelli-Kohn-Nirenberg type inequality on the Heisenberg group

On the Hamiltonicity of random bipartite graphs

The Gerstenhaber bracket of Hochschild cohomology of triangular quadratic monomial algebra

On trees with equal 2-domination and 2-outer-independent domination numbers

The existence and exponential stability for neutral stochastic partial differential equations with infinite delay and poisson jump

Disjointness in supercyclicity on the algebra of Hilbert-Schmidt operators

Whittaker transform on distributions

The L $^{ p }$ - continuity of imaginary powers of the Dunkl harmonic oscillator

Indian Journal of Pure and Applied Mathematics : Volume 46, Issue 1, February 2015

Indian Journal of Pure and Applied Mathematics : Volume 45

Indian Journal of Pure and Applied Mathematics : Volume 44

Indian Journal of Pure and Applied Mathematics : Volume 43

Indian Journal of Pure and Applied Mathematics : Volume 42

Indian Journal of Pure and Applied Mathematics : Volume 41

Whittaker transform on distributions

Content Provider	Springer Nature Link
Author	Rodrigues, M. M. Vieira, N.
Copyright Year	2015
Abstract	The aim of this paper is to construct a testing function space equipped with the topology generated by the L $_{ v,p }$-multinorm of the differential operator $${B_x} = - 4{x^2}\frac{{{d^2}}}{{d{x^2}}} - 1 + {x^2} - \mu x, $$ where μ < ½, v > 0, p ∈ [1, ∞[, and its k—iterates B x k where k = 0,1,..., and B x 0 φ = φ. We also introduce the correspondent dual space for the index Whittaker transform on distributions. The existence, uniqueness, imbedding and inversion properties are investigated.
Starting Page	229
Ending Page	237
Page Count	9
File Format	PDF
ISSN	00195588
Journal	Indian Journal of Pure and Applied Mathematics
Volume Number	46
Issue Number	2
e-ISSN	09757465
Language	English
Publisher	Indian National Science Academy
Publisher Date	2015-06-24
Publisher Place	New Delhi
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Testing-function spaces distributions index Whittaker transform Whittaker functions special functions Mathematics Applications of Mathematics Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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The wavelet transforms in Gelfand–Shilov spaces

Topologies on function spaces

On support properties of functions and their Jacobi transform

Optimal function spaces for the Laplace transform

Whittaker transform on distributions

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