The separating subgroup and local residues

1989 ◽  
Vol 29 (6) ◽  
pp. 1028-1033 ◽  
Author(s):  
A. P. Yuzhakov
Keyword(s):  
Local Residues

An Algorithm for Computing Grothendieck Local Residues I: Shape Basis Case

2019 ◽  
Vol 13 (1-2) ◽  
pp. 205-216 ◽  
Author(s):  
Katsuyoshi Ohara ◽  
Shinichi Tajima
Keyword(s):  
Local Residues

LOCAL RESIDUES IN $ \mathbf{C}^n$. ALGEBRAIC APPLICATIONS

1985 ◽  
Vol 51 (1) ◽  
pp. 225-237
Author(s):  
A K Tsikh
Keyword(s):  
Local Residues

scholarly journals Local residues of holomorphic 1-forms on an isolated surface singularity

2002 ◽  
Vol 109 (1) ◽  
pp. 93-108 ◽  
Author(s):  
Oliver Klehn
Keyword(s):  
Surface Singularity ◽  
Local Residues

scholarly journals Origin of Increased Solvent Accessibility of Peptide Bonds in Mutual Synergetic Folding Proteins

2021 ◽  
Vol 22 (24) ◽  
pp. 13404
Author(s):  
Csaba Magyar ◽  
Anikó Mentes ◽  
Miklós Cserző ◽  
István Simon
Keyword(s):  
Amino Acid ◽  
Solvent Accessibility ◽  
Peptide Bond ◽  
Peptide Bonds ◽  
Shannon Information Entropy ◽  
Local Contribution ◽  
Non Local ◽  
Local Residues ◽  
Shed Light ◽  
Structural Aspects

Mutual Synergetic Folding (MSF) proteins belong to a recently discovered class of proteins. These proteins are disordered in their monomeric but ordered in their oligomeric forms. Their amino acid composition is more similar to globular proteins than to disordered ones. Our preceding work shed light on important structural aspects of the structural organization of these proteins, but the background of this behavior is still unknown. We suggest that solvent accessibility is an important factor, especially solvent accessibility of the peptide bonds can be accounted for this phenomenon. The side chains of the amino acids which form a peptide bond have a high local contribution to the shielding of the peptide bond from the solvent. During the oligomerization step, other non-local residues contribute to the shielding. We investigated these local and non-local effects of shielding based on Shannon information entropy calculations. We found that MSF and globular homodimeric proteins have different local contributions resulting from different amino acid pair frequencies. Their non-local distribution is also different because of distinctive inter-subunit contacts.

On Small Complete Sets of Functions

2000 ◽  
Vol 52 (1) ◽  
pp. 3-30 ◽  
Author(s):  
Lev Aizenberg ◽  
Alekos Vidras
Keyword(s):  
Holomorphic Functions ◽  
Direct Consequence ◽  
Completeness Theorem ◽  
Duality Principle ◽  
Residue Theorem ◽  
Complete Sets ◽  
Local Residues ◽  
Completeness Theorems

AbstractUsing Local Residues and the Duality Principle a multidimensional variation of the completeness theorems by T. Carleman and A. F. Leontiev is proven for the space of holomorphic functions defined on a suitable open strip Tα ⊂ C2. The completeness theorem is a direct consequence of the Cauchy Residue Theorem in a torus. With suitable modifications the same result holds in Cn.

scholarly journals An Algorithm for Computing Grothendieck Local Residues II: General Case

2020 ◽  
Vol 14 (2) ◽  
pp. 483-496
Author(s):  
Katsuyoshi Ohara ◽  
Shinichi Tajima
Keyword(s):  
Local Residues

Local residues and discrete sets of uniqueness

1999 ◽  
Vol 40 (1) ◽  
pp. 63-92 ◽  
Author(s):  
Alekos Vidras
Keyword(s):  
Sets Of Uniqueness ◽  
Local Residues
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