Arie Israel

activity

20102023

most citedThe Eigenvalue Distribution of Time-Frequency Localization Operators

7 citations · 20 across the 12 of their papers we have counts for

collaborators

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9 papers · 1 filter

math.CA2023

On the Eigenvalue Distribution of Spatio-Spectral Limiting Operators in Higher Dimensions

Arie Israel, Azita Mayeli

Prolate spheroidal wave functions are an orthogonal family of bandlimited functions on $R$ that have the highest concentration within a specific time interval. They are al…

math.CA2018

A coordinate-free proof of the finiteness principle for the Whitney extension problem

Jacob Carruth, Abraham Frei-Pearson, Arie Israel +1

We present a coordinate-free version of Fefferman's solution of Whitney's extension problem in the space $C^{m - 1, 1} (R^{n})$ . While the original argument relies on an elabora…

math.CA2016

Interpolation of data by smooth non-negative functions

Charles Fefferman, Arie Israel, Garving K. Luli

We prove a finiteness principle for interpolation of data by nonnegative Cm functions. Our result raises the hope that one can start to understand constrained interpolation problem…

math.CA2015

Finiteness Principles for Smooth Selection

Charles Fefferman, Arie Israel, Garving K. Luli

In this paper we prove finiteness principles for $C^{m} (R^{n}, R^{D})$ -selection, and for $C^{m - 1, 1} (R^{n}, R^{D})$ -se…

math.CA2015★ 7 cited

The Eigenvalue Distribution of Time-Frequency Localization Operators

Arie Israel

We estimate the distribution of the eigenvalues of a family of time-frequency localization operators whose eigenfunctions are the well-known Prolate Spheroidal Wave Functions from…

math.CA2014★ 1 cited

Fitting a Sobolev function to data

Charles L. Fefferman, Arie Israel, Garving K. Luli

We exhibit an algorithm to solve the following extension problem: Given a finite set $E \subset R^{n}$ and a function $f : E \to R$ , compute an extension $F$ …

math.CA2012

The Structure of Sobolev Extension Operators

Charles L. Fefferman, Arie Israel, Garving K. Luli

Let $L^{m, p} (R^{n})$ denote the Sobolev space of functions whose $m$ -th derivatives lie in $L^{p} (R^{n})$ , and assume that $p > n$ . For $E \subset R^{n}$ , denote by $L^{m, p} (E)$ the space…

math.CA2012★ 3 cited

Sobolev Extension By Linear Operators

Charles L. Fefferman, Arie Israel, Garving K. Luli

Let $L^{m, p} (R^{n})$ be the Sobolev space of functions with $m^{t h}$ derivatives lying in $L^{p} (R^{n})$ . Assume that $n < p < \infty$ . For $E \subset R^{n}$ , let $L^{m, p} (E)$ denote the…

math.CA2010

A Bounded Linear Extension Operator for $L^{2, p} (R^{2})$

Arie Israel

For a finite $E \subset R^{2}$ , $f : E \to R$ , and $p > 2$ , we produce a continuous $F : R^{2} \to R$ depending linearly on $f$ , taking the same values as $f$ on $E$ , and…

On the Eigenvalue Distribution of Spatio-Spectral Limiting Operators in Higher Dimensions

A coordinate-free proof of the finiteness principle for the Whitney extension problem

Interpolation of data by smooth non-negative functions

Finiteness Principles for Smooth Selection

The Eigenvalue Distribution of Time-Frequency Localization Operators

Fitting a Sobolev function to data

The Structure of Sobolev Extension Operators

Sobolev Extension By Linear Operators

A Bounded Linear Extension Operator for L2,p(R2)

A Bounded Linear Extension Operator for $L^{2, p} (R^{2})$