Abram Besicovitch
Russian mathematician
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Mathematics
Why Is Abram Besicovitch Influential?
(Suggest an Edit or Addition)According to Wikipedia, Abram Samoilovitch Besicovitch was a Russiann mathematician, who worked mainly in England. He was born in Berdyansk on the Sea of Azov to a Karaite Jewish family. Life and career Abram Besicovitch studied under the supervision of Andrey Markov at the St. Petersburg University, graduating with a PhD in 1912. He then began research in probability theory. He converted to Eastern Orthodoxy, joining the Russian Orthodox Church, on marrying in 1916. He was appointed professor at the University of Perm in 1917, and was caught up in the Russian Civil War over the next two years. In 1920, he took a position at the Petrograd University.
Abram Besicovitch's Published Works
Published Works
- Almost Periodic Functions (1954) (827)
- Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers (1934) (208)
- On the sum of digits of real numbers represented in the dyadic system. (1935) (197)
- On the fundamental geometrical properties of linearly measurable plane sets of points (1928) (173)
- A general form of the covering principle and relative differentiation of additive functions (1945) (165)
- On the Linear Independence of Fractional Powers of Integers (1940) (126)
- Sets of Fractional Dimensions (V) : On Dimensional Numbers of Some continuous Curves (1937) (125)
- On Kakeya's problem and a similar one (1928) (111)
- On the Complementary Intervals of a Linear Closed Set of Zero Lebesgue Measure (1954) (107)
- On linear sets of points of fractional dimension (1929) (82)
- On the fundamental geometrical properties of linearly measurable plane sets of points (II) (1938) (68)
- On existence of subsets of finite measure of sets of infinite measure (1952) (64)
- On Sufficient Conditions for a Function to be Analytic, and on Behaviour of Analytic Functions in the Neighbourhood of Non‐Isolated Singular Points (1931) (60)
- A problem on topological transformations of the plane. II (1951) (54)
- On the density of certain sequences of integers (1935) (52)
- Concentrated and rarified sets of points (1933) (51)
- Measure of Asymmetry of Convex Curves (1948) (46)
- On the fundamental geometrical properties of linearly measurable plane sets of points (III) (1939) (45)
- A problem on topological transformation of the plane (1937) (39)
- On Two Problems of Loewner (1952) (38)
- The asymptotic distribution of the numerals in the decimal representation of the squares of the natural numbers (1935) (37)
- On Generalized Almost Periodic Functions (34)
- On a General Metric Property of Summable Functions (1926) (32)
- A VARIANT OF A CLASSICAL ISOPERIMETRIC PROBLEM (1949) (30)
- Measure of Asymmetry of Convex Curves (II): Curves of Constant Width (1951) (28)
- Almost periodicity and general trigonometric series (1931) (26)
- On Arcs that Cannot be Covered by an Open Equilateral Triangle of Side 1 (1965) (25)
- THE TOTAL LENGTH OF THE EDGES OF A POLYHEDRON (1957) (24)
- A Plane Set of Measure Zero Containing Circumferences of Every Radius (1968) (23)
- The Kakeya Problem (1963) (22)
- On the definition of tangents to sets of infinite linear measure (1956) (22)
- ON THE DEFINITION AND VALUE OF THE AREA OF A SURFACE (1945) (21)
- On Fundamental Geometric Properties of Plane Line-Sets (1964) (21)
- On integral functions of order <1 (1927) (20)
- A Problem on a Circle (1961) (20)
- On Jordan ARCS and Lipschitz classes of functions defined on them (1961) (17)
- On differentiation of Lebesgue double integrals (1935) (17)
- Relations between concentrated sets and sets possessing property C (1942) (14)
- On Linear Sets of Points of Fractional Dimension-II (1968) (12)
- On Crum's Problem (1947) (11)
- On Distance-Sets (1948) (11)
- A Net to Hold a Sphere (1957) (11)
- On the Density of the Sum of Two Sequences of Integers (1935) (11)
- Parametric surfaces (1949) (10)
- Tangential properties of sets and arcs of infinite linear measure (1960) (10)
- On the Definition of the Area of a Surface by Means of Inscribed Polyhedra (1944) (9)
- On the Set of Distances Between the Points of a Carathéodory Linearly Measurable Plane Point Set (1948) (9)
- On a Measure of Asymmetry of Convex Bodies (1962) (8)
- A Note on Integral Functions (1944) (6)
- On Parseval's Theorem for Dirichlet Series (5)
- Parametric Surfaces (III): On Surfaces of Minimum Area (1948) (5)
- On Density of Perfect Sets (1956) (5)
- Analysis of conditions of generalised almost periodicity (1932) (4)
- Totally heterogeneous continua (1945) (4)
- On the Existence of Tangents to Rectifiable Curves (1944) (4)
- A Uniqueness Theorem and a Problem on Integration (1958) (4)
- On Approximation in Measure to Borel Sets by Fσ -Sets (1954) (4)
- A theorem on s-dimensional measure of sets of points (1942) (4)
- On Almost Periodic Properties of Translation Numbers (1928) (3)
- Parametric surfaces (1949) (3)
- Analysis of tangential properties of curves of infinite length (1957) (3)
- On tangents to general sets of points (1934) (3)
- On Analytic Functions (1964) (3)
- On surfaces of minimum area (1948) (3)
- On the set of distances between points of a general metric space (1952) (3)
- On the Density of Irregular Linearly Measurable sets of Points (1931) (3)
- On the kolmogoroff maximum and minimum measures (1937) (3)
- On Density of Linear Sets (1957) (2)
- On Rearrangement of Conditionally Convergent Series (1953) (2)
- On differentiation of functions of two variables (1936) (2)
- Sets of points of non-differentiability of absolutely continuous functions and of divergence of Fejér sums (1935) (2)
- On Lipschitz numbers (1929) (2)
- Two Problems on Power Series (1963) (2)
- On the subadditivity of the transfinite diameter (1941) (2)
- On diagonal values of probability vectors of infinitely many components (1961) (2)
- On differentiation and Denjoy-behaviour of functions of two real variables (1950) (2)
- On homoeomorphism of perfect plane sets (1958) (2)
- On families of domains (1957) (1)
- Two Problems on Convex Functions (1965) (1)
- Arcs and Chords (II) (1967) (1)
- ON LIMITS OF THE AREA OF A POLYGON INSCRIBED IN A SIMPLE CLOSED CURVE (1955) (1)
- On one-sided densities of arcs of positive two-dimensional measure (1964) (1)
- Arcs and Chords (1965) (1)
- PARAMETRIC SURFACES (IV) THE INTEGRAL FORMULA FOR THE AREA (1949) (1)
- On the Existence Theorem for the Differential Equation dydx=φ(x,y) (1953) (1)
- A problem on measure (1963) (1)
- On the derivation of discontinuous functions (1939) (0)
- On Mean Values of Functions of a Complex and of a Real Variable (0)
- MATHEMATICSParametric Surfaces. III, 1 *): SUrfaces of Minimum Area (1954) (0)
- Metric property of linear sets (1961) (0)
- On Power Series with Non-Negative Coefficients (1964) (0)
- 3045. Another proof of the isoperimetric theorem (1963) (0)
- Remark on Relative Derivatives (1941) (0)
- On a problem concerning Lebesgue integrals (1938) (0)
- Two problems on convergence (1963) (0)
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