Generalized functions and Čech homology theory

1966 ◽  
Vol 72 (1) ◽  
pp. 45-57 ◽  
Author(s):  
Rubens G. Lintz
Keyword(s):  
Homology Theory ◽  
Generalized Functions ◽  
Čech Homology

Closed Coverings in Cech Homology Theory

1957 ◽  
Vol 84 (2) ◽  
pp. 319
Author(s):  
E. E. Floyd
Keyword(s):  
Homology Theory ◽  
Čech Homology

IX. The Čech homology theory

1952 ◽  
pp. 233-256
Keyword(s):  
Homology Theory ◽  
Čech Homology

scholarly journals Closed coverings in Čech homology theory

1957 ◽  
Vol 84 (2) ◽  
pp. 319-319
Author(s):  
E. E. Floyd
Keyword(s):  
Homology Theory ◽  
Čech Homology

scholarly journals The Cech homology theory in the category of soft topological spaces

2020 ◽  
Vol 1 (1) ◽  
pp. 41-51
Author(s):  
Cigdem Gunduz Aras ? · Sebuhi Abdullayev
Keyword(s):  
Homology Theory ◽  
Topological Spaces ◽  
Čech Homology

scholarly journals A characterization of the Čech homology theory

1970 ◽  
Vol 21 (2) ◽  
pp. 229-237 ◽  
Author(s):  
S. K. Kaul
Keyword(s):  
Homology Theory ◽  
Čech Homology

A Geometric Approach to Homology Theory

1976 ◽  
Author(s):  
S. Buonchristiano ◽  
C. P. Rourke ◽  
B. J. Sanderson
Keyword(s):  
Geometric Approach ◽  
Homology Theory

LAGUERRE WAVELET TRANSFORM OF GENERALIZED FUNCTIONS INK′{MP} SPACES

2020 ◽  
Vol 9 (4) ◽  
pp. 2209-2218
Author(s):  
T. G. Thange ◽  
S. S. Jadhav
Keyword(s):  
Wavelet Transform ◽  
Generalized Functions

Seismic stability of the underground main pipeline

2011 ◽  
Vol 8 (1) ◽  
pp. 275-286
Author(s):  
R.G. Yakupov ◽  
D.M. Zaripov
Keyword(s):  
Laplace Transformation ◽  
Seismic Waves ◽  
Generalized Functions ◽  
Seismic Stability ◽  
Main Pipeline ◽  
Motion Equations ◽  
Numerical Example ◽  
Earthquake Force ◽  
Deformed State

The stress-deformed state of the underground main pipeline under the action of seismic waves of an earthquake is considered. The generalized functions of seismic impulses are constructed. The pipeline motion equations are solved with used Laplace transformation by the time. Tensions and deformations of the pipeline have been determined. A numerical example is reviewed. Diagrams of change of the tension depending on earthquake force are provided in earthquake-points.

scholarly journals Random generalized functions of locally finite order

1968 ◽  
Vol 19 (6) ◽  
pp. 1457-1457 ◽  
Author(s):  
D. M. Eaves
Keyword(s):  
Finite Order ◽  
Generalized Functions ◽  
Locally Finite

scholarly journals Certain fundamental properties of generalized natural transform in generalized spaces

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Shrideh Khalaf Al-Omari ◽  
Serkan Araci
Keyword(s):  
Inversion Formula ◽  
Acta Math ◽  
Generalized Functions ◽  
General Nature ◽  
Qualitative Behavior ◽  
Fundamental Properties ◽  
Integrable Functions ◽  
Extended Operator ◽  
Definition Of ◽  
Space Of Integrable Functions

AbstractThis paper considers the definition and the properties of the generalized natural transform on sets of generalized functions. Convolution products, convolution theorems, and spaces of Boehmians are described in a form of auxiliary results. The constructed spaces of Boehmians are achieved and fulfilled by pursuing a deep analysis on a set of delta sequences and axioms which have mitigated the construction of the generalized spaces. Such results are exploited in emphasizing the virtual definition of the generalized natural transform on the addressed sets of Boehmians. The constructed spaces, inspired from their general nature, generalize the space of integrable functions of Srivastava et al. (Acta Math. Sci. 35B:1386–1400, 2015) and, subsequently, the extended operator with its good qualitative behavior generalizes the classical natural transform. Various continuous embeddings of potential interests are introduced and discussed between the space of integrable functions and the space of integrable Boehmians. On another aspect as well, several characteristics of the extended operator and its inversion formula are discussed.

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