A universal integral formula for multicircular domains in an n-dimensional complex space

1967 ◽  
Vol 7 (3) ◽  
pp. 567-569
Author(s):  
S. G. Gindikin
Keyword(s):  
Complex Space ◽  
Integral Formula ◽  
Universal Integral

BOCHNER–MARTINELLI FORMULAS ON SINGULAR COMPLEX SPACES

2010 ◽  
Vol 21 (02) ◽  
pp. 225-253 ◽  
Author(s):  
VINCENZO ANCONA ◽  
BERNARD GAVEAU
Keyword(s):  
Projective Variety ◽  
Complex Space ◽  
Closed Subspace ◽  
Hodge Structure ◽  
Integral Formula ◽  
Mixed Hodge Structure ◽  
Complex Spaces ◽  
Residue Formula ◽  
Complex Dimension ◽  
Singular Complex Spaces

Let U be a complex space of complex dimension n ≥ 2, P a point of U, π : Ũ → U a modification such that Ũ is nonsingular and D = π-1 (P) is a divisor with normal crossings. A Bochner–Martinelli form on U\{P} is a [Formula: see text]-closed differential form ω on Ũ\D, of pure type (n,n - 1), logarithmic along D. Such form detects a cohomology class of H2n - 1 (U\{P},ℂ) on the singular space U\{P}. Thanks to a general residue formula we prove that the forms ω give rise to an integral formula of Bochner–Martinelli type for holomorphic functions. If U satisfies the following assumption that {there exists a compact complex space X bimeromorphic to a Kähler manifold, and a closed subspace T ⊂ X, such that X\T = U (an affine, or a quasi-projective variety satisfies the above property), we relate Bochner–Martinelli forms to the mixed Hodge structure carried by H2n-1 (U\{P},ℂ). Most of our results hold for complex spaces which are not Stein.

An integral formula for the even part of the texture function or « the apparition of the fπ and fω ghost distributions »

1982 ◽  
Vol 43 (2) ◽  
pp. 189-195 ◽  
Author(s):  
Claude Esling ◽  
Jacques Muller ◽  
Hans-Joachim Bunge
Keyword(s):  
Integral Formula

No ‘Help to the Imagination’: Kate O'Brien and the Emergency

2018 ◽  
Vol 48 (1) ◽  
pp. 97-112
Author(s):  
Anna Teekell
Keyword(s):  
Complex Space ◽  
Coercive Power ◽  
Cultural Conservatism ◽  
Kate O'brien ◽  
The Individual ◽  
Love Triangle

Kate O'Brien's 1943 The Last of Summer has been read as the novelist's riposte to an insular island that stifled both her publishing (through censorship) and her imagination (through cultural conservatism). Set on the eve of the neutral ‘Emergency’, O'Brien's sixth novel actually depicts Ireland as a complex space of negotiation, simultaneously desirable and condemnable, that challenges, rather than stifles, the individual imagination. The Last of Summer is a love triangle and a battle of wits, pitching a stage actress, the French ingénue Angèle, against an accomplished domestic performer, her potential mother-in-law, Hannah Kernahan. In the end, it is Hannah who wields ‘neutrality’ – both Ireland's in the war and her pretended neutrality in family matters – as a form of coercive power.

scholarly journals ON p – q DUALITY AND EXPLICIT SOLUTIONS IN c ≤ 1 2D GRAVITY MODELS

1995 ◽  
Vol 10 (08) ◽  
pp. 1219-1236 ◽  
Author(s):  
S. KHARCHEV ◽  
A. MARSHAKOV
Keyword(s):  
String Theory ◽  
Exact Solutions ◽  
2D Gravity ◽  
Integral Formula ◽  
Integral Representations ◽  
Gravity Models ◽  
Explicit Solutions ◽  
String Equation ◽  
Duality Transformation

We study the role of integral representations in the description of nonperturbative solutions to c ≤ 1 string theory. A generic solution is determined by two functions, W(x) and Q(x), which behave at infinity like xp and xq respectively. The integral formula for arbitrary (p, q) models is derived, which explicitly realizes a duality transformation between (p, q) and (q, p) 2D gravity solutions. We also discuss the exact solutions to the string equation and reduction condition and present several explicit examples.

scholarly journals The surface layer integral method for the modelling of the radial gravity gradient component over sea surface

2019 ◽  
Vol 9 (1) ◽  
pp. 127-132
Author(s):  
D. Zhao ◽  
Z. Gong ◽  
J. Feng
Keyword(s):  
Surface Layer ◽  
Integral Method ◽  
Integral Formula ◽  
Radial Component ◽  
Second Order ◽  
Sea Surface ◽  
Gravity Potential ◽  
Gravity Gradient ◽  
Disturbing Potential ◽  
Gradient Component

Abstract For the modelling and determination of the Earth’s external gravity potential as well as its second-order radial derivatives in the space near sea surface, the surface layer integral method was discussed in the paper. The reasons for the applicability of the method over sea surface were discussed. From the original integral formula of disturbing potential based on the surface layer method, the expression of the radial component of the gravity gradient tensor was derived. Furthermore, an identity relation was introduced to modify the formula in order to reduce the singularity problem. Numerical experiments carried out over the marine area of China show that, the modi-fied surface layer integral method effectively improves the accuracy and reliability of the calculation of the second-order radial gradient component of the disturbing potential near sea surface.

scholarly journals Complex space of Retzius lymphocele resulting in iliac compression and submassive pulmonary embolism after robotic Retzius sparing prostatectomy

2021 ◽  
Vol 36 ◽  
pp. 101598 ◽  
Author(s):  
Charlotte C. Goldman ◽  
Christopher P. Dall ◽  
Tamir Sholklapper ◽  
Jacob Brems ◽  
Keith Kowalczyk
Keyword(s):  
Pulmonary Embolism ◽  
Complex Space ◽  
Submassive Pulmonary Embolism
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