Ridge Function Spaces and Their Interpolation Property

X.P. Sun

doi:10.1006/jmaa.1993.1333

Ridge Function Spaces and Their Interpolation Property

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1993.1333 ◽

1993 ◽

Vol 179 (1) ◽

pp. 28-40 ◽

Cited By ~ 1

Author(s):

X.P. Sun

Keyword(s):

Interpolation Property ◽

Function Spaces ◽

Ridge Function

Download Full-text

Function spaces between crystal space and Fourier-transform space

Zeitschrift für Kristallographie ◽

10.1524/zkri.1959.112.1-6.22 ◽

1959 ◽

Vol 112 (1-6) ◽

pp. 22-32 ◽

Cited By ~ 3

Author(s):

A. L. Patterson

Keyword(s):

Fourier Transform ◽

Function Spaces ◽

Crystal Space

Download Full-text

Function Spaces and Nonsymmetric Norm Preserving Maps

Bulletin of the Belgian Mathematical Society - Simon Stevin ◽

10.36045/bbms/1547780432 ◽

2018 ◽

Vol 25 (5) ◽

pp. 729-740

Author(s):

Hadis Pazandeh ◽

Fereshteh Sady

Keyword(s):

Function Spaces

Download Full-text

The Mehler-Fock-Clifford transform and pseudo-differential operator on function spaces

Filomat ◽

10.2298/fil1908457p ◽

2019 ◽

Vol 33 (8) ◽

pp. 2457-2469

Author(s):

Akhilesh Prasad ◽

S.K. Verma

Keyword(s):

Differential Operator ◽

Function Spaces ◽

Pseudo Differential Operator ◽

Test Function ◽

Basic Properties ◽

Cone Function ◽

Translation Operators

In this article, weintroduce a new index transform associated with the cone function Pi ??-1/2 (2?x), named as Mehler-Fock-Clifford transform and study its some basic properties. Convolution and translation operators are defined and obtained their estimates under Lp(I, x-1/2 dx) norm. The test function spaces G? and F? are introduced and discussed the continuity of the differential operator and MFC-transform on these spaces. Moreover, the pseudo-differential operator (p.d.o.) involving MFC-transform is defined and studied its continuity between G? and F?.

Download Full-text