1,119 research outputs found
Bounded operators on weighted spaces of holomorphic functions on the polydisk
We consider the weighted and spaces of
holomorphic functions on the polydisk (in the case of ).
We prove some theorems about the boundedness of Toeplitz operators on
weighted Besov spaces and about the boundedness of generalized
little Hankel and Berezin- type operators on .Comment: 1
A principal possibility for computer investigation of evolution of dynamical systems with independent on time accuracy
Extensive N-body simulations are among the key means for the study of
numerous astrophysical and cosmological phenomena, so various schemes are
developed for possibly higher accuracy computations. We demonstrate the
principal possibility for revealing the evolution of a perturbed Hamiltonian
system with an accuracy independent on time. The method is based on the Laplace
transform and the derivation and analytical solution of an evolution equation
in the phase space for the resolvent and using computer algebra.Comment: Eur Phys Journ C (in press), to match the version to appear, 7 pages,
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A new exactly integrable hypergeometric potential for the Schr\"odinger equation
We introduce a new exactly integrable potential for the Schr\"odinger
equation for which the solution of the problem may be expressed in terms of the
Gauss hypergeometric functions. This is a potential step with variable height
and steepness. We present the general solution of the problem, discuss the
transmission of a quantum particle above the barrier, and derive explicit
expressions for the reflection and transmission coefficients
Anti-solar differential rotation on the active sub-giant HU Virginis
Measuring surface differential rotation (DR) on different types of stars is
important when characterizing the underlying stellar dynamo. It has been
suggested that anti-solar DR laws can occur when strong meridional flows exist.
We aim to investigate the differential surface rotation on the primary star of
the RS CVn binary HU Vir by tracking its starspot distribution as a function of
time. We also aim to recompute and update the values for several system
parameters of the triple system HU Vir (close and wide orbits). Time-series
high-resolution spectroscopy for four continuous months was obtained with the
1.2-m robotic STELLA telescope. Nine consecutive Doppler images were
reconstructed from these data, using our line-profile inversion code iMap. An
image cross-correlation method was applied to derive the surface
differential-rotation law for HU Vir. New orbital elements for the close and
the wide orbits were computed using our new STELLA radial velocities (RVs)
combined with the RV data available in the literature. Photometric observations
were performed with the Amadeus Automatic Photoelectric Telescope (APT),
providing contemporaneous Johnson-Cousins and data for approximately 20
years. This data was used to determine the stellar rotation period and the
active longitudes. We confirm anti-solar DR with a surface shear parameter
of -0.029 0.005 and -0.026 0.009, using single-term and
double-term differential rotation laws, respectively. The best fit is achieved
assuming a solar-like double-term law with a lap time of 400 d. Our
orbital solutions result in a period of 10.387678 0.000003 days for the
close orbit and 2726 7 d ( 7.5 yr) for the wide orbit. A
Lomb-Scarge (L-S) periodogram of the pre-whitened -band data reveals a
strong single peak providing a rotation period of 10.391 0.008 d.Comment: Accepted for publication in A&
Micropropagation of grapevine (Vitis vinifera L.) seedless cultivar 'Parvana' through lateral bud development
Factors affecting successful establishment in vitro, rapid proliferation, rooting and acclimatization of grapevine seedless cultivation 'Parvana' were studied. A treatment combination of 2.0 % calcium hypochlorite for 7 minutes plus 70 % ethanol for 3 minutes was found to be effective with 75.0 % of aseptic culture establishment in vitro. The highest number of new microshoots (4.5) was obtained in a culture medium (Gambourg's B5 modification) supplemented with 0.6 mgβL-1 BAP + 0.2 mgβL-1 KIN + 0.5 mgβL-1 GA3. Presence of GA3 in combination with BAP and KIN promoted elongation of shoots. A concentration of 0.4 mg/l IAA in half strength of MS (Murashige and Skoog) proved to be the best for rooting (84.4 % root induction, 4.66 roots with 7.9 cm length). In vitro rooted plantlets were successfully acclimatized, with 82.2 % survival rate in plastic pots containing garden soil, sand and peat moss(1:1:1). In this study an efficient micro propagation technique of grapevine seedless cultivar 'Parvana' was successfully achieved through lateral bud culture. Such a technique would be useful for large scale plant production and in vitro conservation
Holomorphic Bloch spaces on the unit ball in
summary:This work is an introduction to anisotropic spaces of holomorphic functions, which have -weight and are generalizations of Bloch spaces on a unit ball. We describe the holomorphic Bloch space in terms of the corresponding space. We establish a description of via the Bloch classes for all
ΠΡΠΌΠ΅Π½ΠΈΡ Π½Π° ΠΏΡΡΠΈ ΠΊ Β«Π½ΠΎΠ²ΠΎΠΉ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ΅Β»: ΠΎΠ±ΠΎΡΠΎΠ½Π½Π°Ρ ΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΠΎΡΡΡ
In fact, a new arms race could start in the world as a side effect of the so-called β4th Industrial Revolutionββ―βΒ the main innovative trend of which is the widespread use of technologies such as artificial intelligence, machineΒ learning, quantum computing, additive manufacturing, robotics, Internet of things, cloud technologies etc., andΒ the countries involved in military conflicts cannot neglect this circumstance. As a small country, Armenia needs anΒ economy-army coalesced βintelligentβ system that will respond adequately to any, even the slightest threat to theΒ country's security. This approach requires the development of indigenous defense industry. It is obvious that theΒ development of Armenian defense industry is in the inevitable point of intersection of the new wave of economicΒ transformations and the breakthrough of the β4th Industrial Revolutionβ, as the initiator of positive changes in theΒ economy, from which positive externalities must be spread throughout the economy by a chain reaction. The articleΒ discusses the issues of defense industry development in Armenia in accordance with new challenges of Industry 4.0.ΠΠΎΠ±ΠΎΡΠ½ΡΠΌ ΡΡΡΠ΅ΠΊΡΠΎΠΌ ΡΠ°ΠΊ Π½Π°Π·ΡΠ²Π°Π΅ΠΌΠΎΠΉ Β«4-ΠΉ ΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΠΎΠΉ ΡΠ΅Π²ΠΎΠ»ΡΡΠΈΠΈΒ», ΠΎΡΠ½ΠΎΠ²Π½ΠΎΠΉ ΠΈΠ½Π½ΠΎΠ²Π°ΡΠΈΠΎΠ½Π½ΠΎΠΉΒ ΡΠ΅Π½Π΄Π΅Π½ΡΠΈΠ΅ΠΉ ΠΊΠΎΡΠΎΡΠΎΠΉ ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠΈΡΠΎΠΊΠΎΠ΅ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ ΡΠ°ΠΊΠΈΡ
ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΠΉ, ΠΊΠ°ΠΊ ΠΈΡΠΊΡΡΡΡΠ²Π΅Π½Π½ΡΠΉ ΠΈΠ½ΡΠ΅Π»Π»Π΅ΠΊΡ, ΠΌΠ°ΡΠΈΠ½Π½ΠΎΠ΅Β ΠΎΠ±ΡΡΠ΅Π½ΠΈΠ΅, ΠΊΠ²Π°Π½ΡΠΎΠ²ΡΠ΅ Π²ΡΡΠΈΡΠ»Π΅Π½ΠΈΡ, Π°Π΄Π΄ΠΈΡΠΈΠ²Π½ΠΎΠ΅ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΡΡΠ²ΠΎ, ΡΠΎΠ±ΠΎΡΠΎΡΠ΅Ρ
Π½ΠΈΠΊΠ°, ΠΈΠ½ΡΠ΅ΡΠ½Π΅Ρ Π²Π΅ΡΠ΅ΠΉ, ΠΎΠ±Π»Π°ΡΠ½ΡΠ΅ ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΠΈ ΠΈ Ρ.Π΄., ΠΌΠΎΠΆΠ΅Ρ ΡΡΠ°ΡΡ ΠΏΠΎ ΡΡΡΠΈ Π½ΠΎΠ²Π°Ρ Π³ΠΎΠ½ΠΊΠ° Π²ΠΎΠΎΡΡΠΆΠ΅Π½ΠΈΠΉ, ΠΈ ΡΡΡΠ°Π½Ρ, Π²ΠΎΠ²Π»Π΅ΡΠ΅Π½Π½ΡΠ΅ Π² Π²ΠΎΠ΅Π½Π½ΡΠ΅ ΠΊΠΎΠ½ΡΠ»ΠΈΠΊΡΡ, Π½Π΅ ΠΌΠΎΠ³ΡΡΒ ΠΏΡΠ΅Π½Π΅Π±ΡΠ΅Π³Π°ΡΡ ΡΡΠΈΠΌ ΠΎΠ±ΡΡΠΎΡΡΠ΅Π»ΡΡΡΠ²ΠΎΠΌ. ΠΠ°ΠΊ Π½Π΅Π±ΠΎΠ»ΡΡΠ°Ρ ΡΡΡΠ°Π½Π°, Π²ΠΎΠ²Π»Π΅ΡΡΠ½Π½Π°Ρ Π² Π»ΠΎΠΊΠ°Π»ΡΠ½ΡΠΉ ΠΊΠΎΠ½ΡΠ»ΠΈΠΊΡ, ΠΡΠΌΠ΅Π½ΠΈΠΈ Π½ΡΠΆΠ½Π°Β ΡΠ°ΠΊΠ°Ρ ΡΠΈΠ½Π΅ΡΠ³Π΅ΡΠΈΡΠ΅ΡΠΊΠ°Ρ (Ρ Π²Π·Π°ΠΈΠΌΠΎΡΡΠΈΠ»ΡΡΡΠΈΠΌΠΈ ΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½ΡΠ°ΠΌΠΈ) Β«ΠΈΠ½ΡΠ΅Π»Π»Π΅ΠΊΡΡΠ°Π»ΡΠ½Π°ΡΒ» ΡΠΈΡΡΠ΅ΠΌΠ° Β«Π°ΡΠΌΠΈΡ-ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ°Β»,Β ΠΊΠΎΡΠΎΡΠ°Ρ ΡΠΌΠΎΠΆΠ΅Ρ Π°Π΄Π΅ΠΊΠ²Π°ΡΠ½ΠΎ ΡΠ΅Π°Π³ΠΈΡΠΎΠ²Π°ΡΡ Π½Π° Π»ΡΠ±ΡΡ ΡΠ³ΡΠΎΠ·Ρ Π±Π΅Π·ΠΎΠΏΠ°ΡΠ½ΠΎΡΡΠΈ ΡΡΡΠ°Π½Ρ. ΠΡΠ΅Π²ΠΈΠ΄Π½ΠΎ, ΡΡΠΎ Π² Π½Π΅ΠΈΠ·Π±Π΅ΠΆΠ½ΠΎΠΉ ΡΠΎΡΠΊΠ΅Β ΠΏΠ΅ΡΠ΅ΡΠ΅ΡΠ΅Π½ΠΈΡ Π½ΠΎΠ²ΠΎΠΉ Π²ΠΎΠ»Π½Ρ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΡΠ΅ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΠΉ Π² ΠΡΠΌΠ΅Π½ΠΈΠΈ ΠΈ Π½ΠΎΠ²ΠΎΠ³ΠΎ ΠΏΡΠΎΡΡΠ²Π° Β«4-ΠΎΠΉ ΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΠΎΠΉΒ ΡΠ΅Π²ΠΎΠ»ΡΡΠΈΠΈΒ» Π½Π°Ρ
ΠΎΠ΄ΠΈΡΡΡ ΠΎΠ±ΠΎΡΠΎΠ½Π½Π°Ρ ΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΠΎΡΡΡ, Π² ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΠΈΠ½ΠΈΡΠΈΠ°ΡΠΎΡΠ° ΠΏΠΎΠ·ΠΈΡΠΈΠ²Π½ΡΡ
ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠΉ Π² ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ΅, ΠΎΡΠΊΡΠ΄Π° ΠΏΠΎΠ»ΠΎΠΆΠΈΡΠ΅Π»ΡΠ½ΡΠ΅ ΡΠΊΡΡΠ΅ΡΠ½Π°Π»ΠΈΠΈ ΡΠ΅ΠΏΠ½ΠΎΠΉ ΡΠ΅Π°ΠΊΡΠΈΠ΅ΠΉ Π΄ΠΎΠ»ΠΆΠ½Ρ ΡΠ°ΡΠΏΡΠΎΡΡΡΠ°Π½ΡΡΡΡΡ ΠΏΠΎ Π²ΡΠ΅ΠΉ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ΅. Π ΡΡΠ°ΡΡΠ΅Β ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°ΡΡΡΡ Π²ΠΎΠΏΡΠΎΡΡ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΠΎΠ±ΠΎΡΠΎΠ½Π½ΠΎΠΉ ΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΠΎΡΡΠΈ ΠΡΠΌΠ΅Π½ΠΈΠΈ Π² ΠΊΠΎΠ½ΡΠ΅ΠΊΡΡΠ΅ Π½ΠΎΠ²ΡΡ
Π²ΡΠ·ΠΎΠ²ΠΎΠ² ΠΠ½Π΄ΡΡΡΡΠΈΠΈβ―4.0.
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