scholarly journals Transform and Inverse Transform Expansions for Singular Self-Adjoint Differential Operators

1998 ◽  
pp. 254-265
Author(s):  
N. Levinson
Keyword(s):  
Differential Operators ◽  
Inverse Transform

A Low-Power VLSI Architecture for HEVC De-Quantization and Inverse Transform

2016 ◽  
Vol E99.A (12) ◽  
pp. 2375-2387
Author(s):  
Heming SUN ◽  
Dajiang ZHOU ◽  
Shuping ZHANG ◽  
Shinji KIMURA
Keyword(s):  
Low Power ◽  
Vlsi Architecture ◽  
Inverse Transform

The Calder´on-Zygmund Theory I: Ellipticity

2017 ◽  
Author(s):  
Brian Street
Keyword(s):  
Classical Theory ◽  
Singular Integral ◽  
Singular Integrals ◽  
Differential Operators ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Single Parameter ◽  
Partial Differential ◽  
Translation Invariant ◽  
Partial Differential Operators

This chapter discusses a case for single-parameter singular integral operators, where ρ‎ is the usual distance on ℝn. There, we obtain the most classical theory of singular integrals, which is useful for studying elliptic partial differential operators. The chapter defines singular integral operators in three equivalent ways. This trichotomy can be seen three times, in increasing generality: Theorems 1.1.23, 1.1.26, and 1.2.10. This trichotomy is developed even when the operators are not translation invariant (many authors discuss such ideas only for translation invariant, or nearly translation invariant operators). It also presents these ideas in a slightly different way than is usual, which helps to motivate later results and definitions.

Pseudo-differential operators involving Fractional Fourier cosine (sine) transform

Filomat ◽  
2017 ◽  
Vol 31 (6) ◽  
pp. 1791-1801
Author(s):  
Akhilesh Prasad ◽  
Manoj Singh
Keyword(s):  
Differential Operators ◽  
Fourier Cosine ◽  
Sine Transform ◽  
Pseudo Differential Operators
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