scholarly journals Stratified Whitney jets and tempered ultradistributions on the subanalytic site

2011 ◽  
Vol 139 (3) ◽  
pp. 389-435
Author(s):  
N. Honda ◽  
G. Morando
Keyword(s):  
Tempered Ultradistributions

scholarly journals Characterization of Wave Fronts of Ultradistributions Using Directional Short-Time Fourier Transform

Axioms ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 240
Author(s):  
Sanja Atanasova ◽  
Snježana Maksimović ◽  
Stevan Pilipović
Keyword(s):  
Fourier Transform ◽  
Wave Front ◽  
Short Time Fourier Transform ◽  
Wave Fronts ◽  
Directional Wave ◽  
Tempered Ultradistributions ◽  
Short Time

In this paper we give a characterization of Sobolev k-directional wave front of order p∈[1,∞) of tempered ultradistributions via the directional short-time Fourier transform.

scholarly journals A sequential approach to ultradistribution spaces

2016 ◽  
Vol 100 (114) ◽  
pp. 17-48 ◽  
Author(s):  
Snjezana Maksimovic ◽  
Svetlana Mincheva-Kamińska ◽  
Stevan Pilipovic ◽  
Petar Sokoloski
Keyword(s):  
Equivalence Classes ◽  
Smooth Functions ◽  
Sequential Approach ◽  
Tempered Ultradistributions

We introduce and investigate two types of the space U* of s-ultradistributions meant as equivalence classes of suitably defined fundamental sequences of smooth functions; we prove the existence of an isomorphism between U* and the respective space D?* of ultradistributions: of Beurling type if * = (p!t) and of Roumieu type if * = {p!t}. We also study the spaces T * and ?T * of t-ultradistributions and ?t-ultradistributions, respectively, and show that these spaces are isomorphic with the space S?* of tempered ultradistributions both in the Beurling and the Roumieu case.

An algebraic approach to tempered ultradistributions

2018 ◽  
Vol 466 (1) ◽  
pp. 927-935
Author(s):  
Smiljana Jakšić ◽  
Snježana Maksimović ◽  
Stevan Pilipović
Keyword(s):  
Algebraic Approach ◽  
Tempered Ultradistributions

Characterization of the w-Tempered ultradistributions

2021 ◽  
Vol 39 (2) ◽  
pp. 133-140
Author(s):  
Ibraheem Amohammad Abu-Falahah ◽  
Hamed M. Obiedat
Keyword(s):  
Representation Theorem ◽  
Riesz Representation Theorem ◽  
Test Functions ◽  
Riesz Representation ◽  
Tempered Ultradistributions

We use apreviously obtained characterization of test functions of w-Tempered Ultradistributions to charcterize the space w-Tempered Ultradistributions using Riesz representation Theorem.

scholarly journals STUDY OF GAMOW STATES IN THE RIGGED HILBERT SPACE WITH TEMPERED ULTRADISTRIBUTIONS

2001 ◽  
Vol 04 (04) ◽  
pp. 511-520 ◽  
Author(s):  
A. L. DE PAOLI ◽  
M. A. ESTEVEZ ◽  
M. C. ROCCA ◽  
H. VUCETICH
Keyword(s):  
Hilbert Space ◽  
Short Range ◽  
Short Range Potential ◽  
Rigged Hilbert Space ◽  
Gamow States ◽  
Jost Function ◽  
Range Potential ◽  
Square Well ◽  
Tempered Ultradistributions ◽  
S States

In this work we show that it is possible to extend analytically, and with the use of tempered ultradistributions, the "pseudonorm" defined by T. Berggren for Gamow states. We define this "pseudonorm" for all states determined by the zeros of the Jost function for any short range potential. As an example we study the s-states corresponding to the square well potential.

Sign in / Sign up

Export Citation Format

Share Document